Ce-2011-2012 (L-3, T-2)
Ce-2011-2012 (L-3, T-2)
~ "
SECTION -A '
       2.    (a) What is a fixture trap? What do you understand by strength of a trap and how will
             you measure it?                                                                                 (9)
             (b) Differentiate between "self siphonage" and "induced siphonage" of a building
             drainage system. How will you avoid these?                                                      (6)
             (c) What is sustainability of water supply and sanitation systems? List the indicators to
             measure it.                                                                                    (11)
             (d) What is an appropriate technology? List the basic features of it. Why is the
             conventional water borne sewerage system not suitable for Bangladesh?                          (14)
             (e) Define EIA. Provide a typical outline of the preliminary assessment of the EIA
             process.                                                                                      (6~)
                                                                                     Contd          P/2
                                              =2=
CE 333 ~
3. (a) State the objectives of preparatory, primary, secondary and advanced treatment
4.   (a) Explain the symbiosis between bacteria and algae in a facultative pond.                   (10%)
     (b) State and derive "Marai's Theorem" in relation to Waste Stabilization Ponds system.         (10)
     (c) A trickling filter has a depth of lOft, surface area of 18000 ft2, inflo~ rate of 4 mgd
     and a recirculation rate of 200% of the inflow. The influent wastewater BODs is 250
     mglL following primary treatment. Determine the effluent BODs. Use the following
                                                                                \
expressions: (14)
                                 If = (Ii + RIe)j(1 + R)
     where the symbols have their usual meanings.
     (d) In a series of three ponds, the hydraulic retention time of wastewater in the first,
     second, and third ponds are-5 days, 6 days, and 5 days, respectively. Influent FC count
     is 5 x106/100   mL. Calculate the FC count in the effluent from the series of ponds .
     .Given, kb = 2.3/d.                                                                             (12)
                                        SECTION -B
               There are FOUR questions in this section. Answer any THREE.
5.   (a) A WWTP employing biological treatment has been designed for long-term average
     inflow of 55 glm3 NH3-N and 20 glm3 P. Given the average flow rate of2 m3/s, draw the
     sustained low-flow loading curves for NH3-N and P using the typical curves provided in
     Figure 5(a).                                                                                  (26%)
     (b) Differentiate between "100% sanitation" and "total sanitation". With anappropriate
     figures, show how disease is transmitted from excreta via different routes along with
     sanitation barriers for prevention of disease transmission.                                     (10)
     (c) How does a "pour-flux latrine" differ from a "pit latrine"? What are the main
     advantages of an "offset twin-pin pour-flush latrine" over an "offset single-pit pour flush
     latrine"? Explain.                                                                              (10)
                                                                            Contd           P/3
                                                 =3=
CE 333 ,
6.   (a) A trunk sewer is to be sized for a 25 km2 (2,500 ha) city which is naturally sloped
     towards the major river with a gradient of I in 1000. It will be 60% residential, 30%
     commercial, and 10% industrial. The residential area will have 40% large lots, 55%
     small single family lots, and 5% multi-story apartments. The. average domestic
     wastewater    flow rate is 800 Lid/capita (9.26 x lO-6m3/sec/person), the average
     commercial flow rate is 25,000 Lld/ha (2.89 x lO-4m3/seclha), and the average industrial
     flow rate is 40,000 Lldlha (4.63      x   1O-4/m3/sec/ha).1&1 is 1,000 Lld/ha for the entire.
     area. Estimate the peak and minimum flows to be handled by the trunk sewer. Given:
     Qpeak/Qavg   =   5.51 (pO.IS)' and   Qmin/Qavg'   =   0.21 (pO.16), where 'p' is the total city
     population in thousands. Also design the sewer based on the estimated flow and the
     saturation densities for the residential areas given in the table below:                          (26~)
Type of area
7:   (a) You need to design a septic tank for a family of 11 members. The estimated
     wastewater flow rate is 100 lcpd, and the tank is to be desludged every two years. The.
     hydraulic retention time of the tank should be at least 1 day in order to maintain
     acceptable effluent quality.                                                                      (26tj )
     Draw:
        (i)   A plan of the designed septic tank showing the dimensions of the chambers
              (considering two chambers),
        (ii). A section showing the depths of different zones of the septic tank, and
        (iii) A section showing the positions and dimensions of inlet and outlet devices.
     [Assume a design temperature' of 22C; Assume reasonable values for parameters not
     given]
     What options are commonly available for disposal of septic tank effluent? What option
     is commonly used in Bangladesh?
                                                                                 Contd          P/4
                                                 =4=
CE 333
Contd ... Q. No.7
       (b) The conventional method of ranking a set of values for plotting Cumulative Density
       F,unction uses the expression m/(n + 1). However, the 810m's Transformation suggests
       the use of the expression (m - 3/8)/(0 + '/4). What is the justification of using Blom's
       (c) You have been given the responsibility to plan crossing of a sewer line across the
       Airport road near Kuril Interchange. Which agencies do you need to contact during
       planning and construction stages. Provide brief reasons for contacting each of these
       agencies.                                                                                       (10)
8.     (a) Design a suitable latrine for a family of 6 members living in a village where
       tubewell-based water supply system is available. Estimated water use for the larine is 12
       Ipcd, and estimated long-term infiltration capacity of the soil in the area is 26 Llm2 .day.
       The groundwater table is 3.6 m below the ground surface. The pit is to be constructed
       with concrete rings 1.0 -m in diameter and 0.30 m in depth. Mechanical desludging
       facilities are not available in the village. What type of latrine would you suggest for
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                                                                                                                 SECTION-A
                                         There are FOU~ questions in this Section. Answer any THREE.
                                                                                                                                                                                                                                                                  .,
   1. (a) For column supported slab, 100 percent of the applied load must be carried in each
              direction - Explam.                                                                                                                                                                                                                                                          (4) _
              (b) Stat~the restrictions of Direct Design Method for analysis of two way slab.                                                                                                                                                                                              (4)
              (c) A two-way reinforced concrete buH.dingfloor system is composed of slab panels
              measuring 20 ft x 20 ft in plan, supported by shallow column line beams cast
              monolithically with the slab as shown in Fig. 1. Using concrete strength of f;                                                                                                                                                                            = 4000 psi
             - and steel with fy                                     =    60,000 psi" design a typical interior panel to carry a service live load
              of 144 psf in addition to the self-weight of the floor. Show refnforcement in neat
              sketches.                                                                                                                                                                                                                                                                   (27)
2. (a) What are the common types of shear reinforcement used for flat plates? Show with
              (c) A 15-inchconcrete waH supports a dead IQadof 15 kip/ft and a live load of 12 kip/ft.
              The allowable bearing capacity of soil qa = 0.12 ksf at the bottom level of footing which
              is 4 ft below grade. Design the footing with f; = 3 ksi and fy                                                                                                                                                           =               40 ksi. Check
             . footing whose outer end cannot protrude beyond the outer face of the exterior column.
             Column sizes and their respective loads ar~ shown in Fig. 2. The bottom of the footing is
              6 ft below grade where the net allowable bearing pressure deducting soil load, self weight
              of footing and others surcharges is 4000 psf. Determine size of the footing. If d = 18 inch,
              check adequacy against punching. Also design the transverse beam.                                                                                                                                                                                                           (18)
                                                                                                                                                                                                                                  Contd                                        ., P!2
                                                          "=2=
CE 317
Contd ... Q. No.3
   (b) 18" dia cast-in-situ piles shall be provided for a RC column 24" x 24" in section
   canying DL       =   500k and LL = 400k, The allowabl~ load carrying capacity of each pile is
   lOOk. Pile spacing shall be 3 times the pile diameter. Design the pile cap showing all the
4. (a) What is ACI spiral? Explain the failure behavior of ACI spirally reinforcement
   colunm.                                                                                                                   (8)
   (b) Why is seismic detailing essential for earthquake resistant design of structures? Draw
   and explain seismic detailing provisions for beam of an intermediate moment resisting
Pu = 700k
Vu = 500k
               Mu = 7000 kip-ft.
   The wall is 20 ft long,               160 ft high and 12 inch thick. Design                            the shear wall
with f; =4 ksi and fy ::;::;60 ksi. Ignore axial force as it is les,s than balanced load of the
section. (17)
                                                   SECTION-B
                 There are FOUR questions in this Section. Answer any THREE.
                            Assume appropriate value for any missing data.
5. (a) Why are ~ values lower for compression than those of flexur~ or shear? What is the
    required.                                                                                                                 (8)
    (c) A 18 x 25 inch column is reinforced with ten No. 9'bars as shown in Fig., 3 ..Construct
    the nominal strength interaction,diagram                for the     COIUffil;   with five poims corresponding to
pure axial load, pure bending,~alanced condition, Cs = 0.001 (tensile), and Gs = 0.003
(tensile). Also, find com~sponding <l> values'for the above points. Assume bending about
                                                                                                        Contd         P/3
                                                 =3=
CE 317
6. (a) The 25 x 25 inch Golmml shown in Fig. 4 is reinforced with twelve No. 9 bars
   arranged around the c(.lumn perimeter, Material strengths are        f;'   = 4 ksi and   ~v =    60 ksi.
                                                                                               1,
Using the Load Contour Method, check the adequacy of the column for Pu = 500", Mux=
Clear height of the column is 10ft. Show the arrangements in 9ross and long-sections. (8)
7. (a) Compare in brief, presstressed concrete with reinforced concrete with respect to
8. (a) Which of the beam, a posttensioned or pretensioned, will undergo a gleater loss?
   Explain.                                                                                                    (6)
   (b) Describe briefly the loss of prestress in pretensioned member from each individual
   source.                                                                                                    (12)
   (c) A posttensioned concrete member as shown in Fig. 6 is eccentrically prestressed with
    1.20 in2 of steel wires \vhich are anchored at the member ends with a stress of 150 ksi.
   Assume that the 1.20 in2 of steel is made up of 4 tendons with 0.3 in2 per tendon. The
   tendons are tensioned one after another to the stress of 150 ksi. Compute the loss of
      ffj.2 .
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                                                                                                                                                                                                                     ,
     DESIGN OF CONCRETE STRUCTURES                                                                 Appendix A
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                                                                                                                                                   -n
                                                                                                                                                       ill       1
           GRAPHA.7
           Column strength interacti.on diagram for rectangular section with bars on four faces and l' = 0.80.
~.
1. (a) Explain different types of traffic that are generally considered in transportation
obstructions. Make your comment on the level of service for the sidewalk. (11)
2. (a) Explain diagrammatically the traffic movement for a grade separated T~intersection. (11)
        (b) Explain recognized bicycle facilities in a roadway for safe bicycle movement.                  (12)
        (c) Determine the minimum passing sight distance for a two-lane, two-way highway for
3. (a) What are the function of shoulder and median in a highway? Why roads are widened .
     4. (a) Draw transport demand versus trip characteristic (Trip length, Travel time at speed)
        graph showing optimum utilization line of walk, bicycle, bus, car and train modes.
        Considering car ownership level and trip pattern of Dhaka city develop an investment
Contd P/2
                                                                                                                    ..
                                             =2=
CE 351
Contd .. Q. No.
   (b) What are the factors influencing urban transport system? Explain how Dhaka city as a
   whole and parts of it stand in comparison to ideal "Walking city", "Transit city" and
   "Automobile city".                                                                              (10)
   (c) Explain the geometric and operational feature of six different highway type as
   suggested by Roads and Highways Department (RHD) of Bangladesh with respective
   schematic drawings.                                                                             (10)
                                   SECTION-B
             There are FOUR questions in this Section. Answer any T~REE.
6. (a) Briefly describe the importance of Traffic Engineering? List the common tools
   available to the traffic engineer for tackling roadway congestion and safety problems.
   What are the ways of classifying roadway system?                                             (6+6+6)
   (b) Briefly characterize pedestrian crossing. behavior. Mention. the factors which affect
   drivers' characteristics. Define PIEV and PCU.                                               (6+6+5)
7. (a) Write down the objectives and methods <?fcarrying out speed studies and the ways of
   presenting traffic volume and O-D data?                                                        (6+4)
   (b) Define design parking vehicle and list the steps that are needed in systematic way of
   developing parking scheme? Explain the importance of street lighting. Enumerate the
   general requirements of a terminal.                                                     (4+4+4+4)
   (c) An urban secondary road, with 65 ft pavement width having a reflectance of 20%,
   carries a maximum of 1700 vph at night time in both directions. Design lighting system
   of the road considering sodium light source (100 wattage bulb of 100 lumen/watt
   efficiency), with mounting height of 35 ft and a maintenance factor of 0.75. Draw the
   lighting layout. Necessary information are given in Tables 1-4 and in Figurel. Assume
~~~~ ~
CE 351
   design?                                                                                     (4+4+3)
   (c) Calculate weighted average speed, pace, modal speed, upper and lower speed limits,
                       TABLEt
                                                                             Vehicular. traffic
 Pedestrian traffic{l)
 Heavy
 Medium
 Li      t
Notes:
             (l) Heavy             As on                   main business street
                 Medium :          As on                   secondary business streets
                    Light:         As on                   local streets
             (2) Night hour flow in both                   directions
                                    3 % or less                                             1.5
                                       10%                                                1.0
                                   20% or more                                           0.75
0.55
0.5
0.45
                             0.4
                                       e-----
                                                                   ./V
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                      g
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                      N  0.35
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                             0.1
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                                         /
                               0
                                    V
                                   o         0.5                1.5    2   2.5    . 3   3.5   4       4.5    5    5.5
                                                               Ratio" Road width/Mounting Height
   Note: Due to poor maintenance, the actual co-efficient o/utilization                           is reduced by a/actor' usually 0.8   1.-
                L-3/T-2/CE                                                                                                                                                                                                                                                                                      Date: 02/06/2014
                  BANGLADESH UNIVERSITY OF ENGINEERING AND TECHNOLOGY,                                                                                                                                                                                                                                                                       DHAKA
                                                                   L-3/T-2                                       B. Sc. Engineering Examinations 2011-2012
                                                                                                                                                           SECTION -A
                               There are FOUR queshons in this Section. Answer any THREE questions.
                1. (a) Derive an expression for total pressure head in case of curvilinear flow.                                                                                                                                                                                                                                                             (10)
                   (b) Calculate the velocity distribution coefficient for the following velocity distribution
profile. (12)
                                                                                                                                                                      U       = Uo                Sin
                                                                                                                                                                                                        . (1rz)
                                                                                                                                                                                                           2h
                   (d) Calculate the pressure intensities at point I, 2, 3, 4 for the overflow spillway (figure
                   2) given that the discharge over the spillway is 6.5 m3/s and r] = r2 = 20 m and depth of
1-:'
II
!
"
:i
2. (a) Show that for subcritical flow that depth of flow increases with increase in channel
                   width for a horizontal rectangular channel both mathematically and graphically.                                                                                                                                                                                                                                                           (10)
    ~.
                   (b) Show that for a triangular channel the Froude number corresponding                                                                                                                                                                                                                                                    to alternate
    "
                                                                                                                                                                                                                                                                                                                       Contd                          P/2
 ,   ..
                                                  =2=
WRE311
Contd ... Q. NO.2
   (c) A rectangular channel 3.0 m wide carries a flow at 1.25 m depth. At a certain section
     the width is reduced to 2.5 m and the channel bed is raised by 0.20 m through a hump.
      Estimate the discharge in the channel when the water surface drops by 0.15 m over the
      hump. Also calculate the change in bed elevation at the contracted section that would
      make the water surface have same elevation at the upstream and downstream                           of the
                                              .= be
                                       (iii) b2
                                       (iv) bi< be
      Where b" b2, be are the u1s, dis and critical widths of a long rectangular                         channel
      respecti vel y.
3. (a) Show that for a hydraulic jump in a horizontal frictionless rectangular channel the
      energy loss (EL) relative to critical depth (Ye) can be expressed as                                             (10)
          for flow over the spillway. Also assume the value of Cd to be 0.735.                                         (20)
          (c) Derive the Belanger momentum         equation for a hydraulic jump               ill   a horizontal
          and type ofthe hydraulic jump if a jump is formed in this condition.                                           (6)
                                                                                           2
4. (a) What is tractive' force? Prove,that the shear stress ratio is K =         1 ;... sin       cp
                                                                                              2
                                                                                      sin If
concrete with a value of n = 0.014. The maximum permissible velocity is 2.25 m/s. (10)
          (c) Show that the best hydraulic trapezoidal section is one half of regular hexagon.                          (10)
          (d) Design a stable canal to carry a dis~harge of 25 m3 Is through J.5 mm sand using
WRE 311
                                             SECTION -8
                There are FOUR questions in this Section. Answer any THREE.
   bed.                                                                                        (4~1.5=6)
   (b) Derive Chezy formula stating necessary assumptions.                                             (8%)
   (c) Water flows at a depth of 1.5 m and a velocity of2.8 mls in a circular channel whose
   diameter is 2.0 m. Compute discharge and determine the state of flow in the channel.                  (8)
   (d) F~r a trapezoidal channel with b = 6 m, z -= 2.5', Chezy's C = 47 m Yz /s and So = 0.002,
6. (a) Deduce the expression for normal depth in a triangular c_hannelusing Chezy formula.                (7)
   (b) Prove that the hydraulic exponent for unifonn flow computation for a circular channel
is given by the following equation where conveyance is computed byChezy Jo~ula. (13)
                                   4        6 Sln-
                                               . w             I       ]
                               N=.-l..           2             _
                                      _do [ w-sinw             . w .
                                                       - WSln-
                                                           ,       2
   (c) With a neat sketch show the variation of boundary shear stress when flow occurs in a
7. (a) Explain why HI and Al profiles are physically not possible.                                        (5)
   (b) Explain the behavior of flow profile when y ~co.                                                (4%)
    (c) Draw the possible 'flow profiles in the following serial arrangement of channels:          (4 x 5=20)
          (i) Mild-Critical-Steep.
          (ii) Horizontal-Mild-Critical
          (iii) Steep~Gritical-Mild
          (iv) Critical-Horizontal-Steep-Free        OVerfali.
                                                                             Contd           P/4
                                                         =4=
        WRE 311
        Contd ... Q. No.7
               (d) A rectangular channel 8 m wide and having a = 1.12 and n = 0.03 has three reaches
               arranged serially. They bottom slopes of these reaches are 0.0035, 0.025 and 0.019,
               respectively. For a discharge of 40 m3/s in the channel, sketch the resulting flow profiles.         (9)
               (e) Draw the possible flow profiles produced on the upstream and downstream of a sluice
gate in (i) mild slope channel and (ii) steep ,slope channel. (8)
            8. (a) Differentiate between Direct Step Method and Standard Step Method.                                (6)
               (b) A trapezoidal channel with b = 5 m, So = 0.0004 and n = 0.02 has a side slope of .
               2 H : 1V. The normal depth of flow is 3.0 m. The channel empties into a pool at the
               downstream end and the pool elevation is 6.25 m with respect to an arbitrary datum. The
               elevation of channel bed at the downstream end is 5.0 m with respect to the same datum.
               Compute the resulting flow profile by using Dfrect Step Method. Assume a = 1.10.                     (22)
               (c) A vertical sluice gate having a coeffiCient of contraction,      Cc=    0.61 and a gate
               opening, yg = 1.0 m, disch~rges 25 m3/s into a horizontal rectangular channel 5 m wide.
               Compute the length of the flow profile between the vena contracta and the location where
;i.\,'"'
.' .-:'
                                                                    '.
L-3/T-2/CE                                                                    Date: 19/05/2014
     BANGLADESH UNIVERSITY OF ENGINEERING AND TECHNOLOGY,                              DHAKA':
                    L-3/T-2       B. Sc. Engineering Examinations 2011-2012
                                           SECTION-A
               There are FOUR questions in this section. Answer any THREE.
(b) Determine allowable strength '''T'' for the angle L5. x 4 x ~ with three % inch dia
bolts in standard holes. Use A36 steel. The member is shown in Fig. 1. (26)
2. (a) Write short notes on short column, intermediate column and long column and show
3.    (a) How is residual stress introduced in steel members. Write down its effect.                     (9)
      (b) Select lightest W12 section (From Annexure I) of A992 steel for a column to carry
      dead load 250k and live load 150k The unbraced lengths are Lx = 20 ft and Ly = lOft.
4. (a) Define effective length factor. Determine effective length factors for column AD,
longitudinal weld). Use E70XX electrode (Fig. 4) and J{6 inch weld leg size. (20)
                                           SECTION-B
               There are FOUR questions in this section. Answer any THREE.
                        Symbols and notatien bear their usual meanings.
5. (a) What are the advantages and disadvantages 'of steel as a structural building material? (8)
                                                                               Contd            P/2
                                                  =2=
CE 319
(b) The tension member shown in Fig. 5 is PL %x 10, and the steel is A36
(Fy = 36 ksi, Fu = 50 ksi). The bolts are ~ -inch in diamet~r. Following ASD principle,
determine the allowable tension capacity considering limit states of plate only. Also,
6.    (a) Differentiate between steel and concrete structures from engineering point of view.                         (8)
      (b) A     )i -inch-thick   tension member is spliced with two ~ -inch-thick splice plates as
shown in Fig. 7. The bolts are ~ -inch-diameter, A325 (Fy = 90 ksi, Fu = 120 ksi) and
      all plates are A36 steel (Fy = 36 ksi, Fu     = 50 ksi).     Compute the allowable strength onhe
      splice based on bolt limit states. Follow ASD principle.                                                       (12)
      (c) The tension member shown in Fig. 8 is a channel section C12 x 20.7 of A572 steel
      (Fy   =   50 ksi, Fu = 65 ksi). Determine the maximum allowable tensile load capacity
based on limits states of the channel section. Follow ASD principle. (15)
7. (a) What do you understand by residual stresses in rolled shapes? Briefly discuss with
      (c) Determine the maximum allowable moment of a bean1 having W14x68 section of
       A242 steel (Fy = 50 ksi, Fu = 70 ksi) subject to (i) continuous lateral support, (ii) an un-
       braced length of 20 ft with Cb = 1.0 and (iii) an un-braced length of 30 ft with Cb = f .0.
8. (a) What do you understand by weldability <of steel? Mention the preferred alloy
       portion of the shear carried by the flange and that carried by the web.                                        (12)
       (c) Tension member shown in Fig. 10 is an L6 x 31h x                  5/16.   It is connected to a    5/16-
       inch-thick gusset plate with      3/4-inch-diameter       A325 bearing type bolts (Fy    = 90 ksi,   Fu   =
       120 ksi). Both the tension member and the gusset plate are of A36 steel (Fy = 36 ksi, Fu
       = 50 ksi).    What is the total service load that can be supported, based on bolt limit states?
       The bolt threads are in the plane of shear. Follow ASD method.                                                 (15)
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                                                                                                                                   1'1 12'1. :2.    1.15                        ;4.4 0.761 348 46.5 5:45 57.5 &.:11                                        134 ll.B83 0.778 ll.84                     0.392    lAS           410               5.73
            "40 lUI lS.O 15 0.52lJ .'it '1< 3.52 3'11 0.850                                                                                                                       14,4 0.896 315. 42.0 ~ !iO;8 a:07.                                         3.09 0.9l11 0.188 8.111                    0.33l    1.01          358               5.ll4 O,IIZ
            x33.9 10.0 .15.0 15 0.400,      'b 3.40 )'1, ' 0.850 SJI.'f,                                                          W12'h 2 U3
          C12x30 , li.8i 12.0 12 0.5io 'Iz
            ,,25 ' 7.34 12.0 12 0.381 )11
                                                3,17 3IJa 1l.sll1 V.
                                                3.os 3 .0.501 'it
                                                                                 'I.
                                                                                 'f,.
                                                                                                                                   1't\ , '9'/. .lIf,o tOl
                                                                                                                                   I'll   fI'/, l!1,1 1.00
                                                                                                                                                                                  11.5 0.818 182 27.0 4.29 33.8 5.12
                                                                                                                                                                                  11.5 ~748 144 24.0 4,43 29.4 4,45
                                                                                                                                                                                                                                                             2.Q6 0.762 0.814 4.32 0.36l O.ll81 151
                                                                                                                                                                                                                                                             1.17 0.779 0.&74 3.lI2 O.3llll 0.538 130
                                                                                                                                                                                                                                                             1.72 0.7117 O.6llll U7 G.2S3 0.369 112
                                                                                                                                                                                                                                                                                                                                                 4.64
                                                                                                                                                                                                                                                                                                                                                 4.72
                                                                                                                                                                                                                                                                                                                                                 4.93 0.lI99
                                                                                                                                                                                                                                                                                                                                                              ::
            x2!J.7 6.08 12,0 12 0.282 ilfll 8Ju 2.114 3     0.sllJ: 'h                                                             j'II    &'i. 1Y" 0.883                         11.5 0.&711129 21.5 4.81 :!lUI 3.ll6
           tii
            "                       "                                        WShapes
                                                                                  DimenSIons
                                                                                                                                                                                                                                                     WShapes
                                                                                                                                                                                                                                                           Properties                                                                   I
                                                                                                                                                                                                                                                                                                                                        W14-Yi12
            SIIipll          A
                               In.'     In.
                                            lItIIlb.
                                                d
                                                     
                                                                ~'.  ~
                                                                            . IlL
                                                                                       T
                                                                                        t.
                                                                                        In.
                                                                                                  WIdGi,
                                                                                                     
                                                                                                        .,
                                                                                                      " 
                                                                                                             Flqe
                                                                                                                   1IllcIU*I,
                                                                                                               ....
                                                                                                                     to;;
                                                                                                                                              
                                                                                                                                                  ID.
                                                                                                                                                        'rl:
                                                                                                                                                          At
                                                                                                                                                                      IlL
                                                                                                                                                                                  s-
                                                                                                                                                                                   In.
                                                                                                                                                                                          cam .
                                                                                                                                                                                           8ICIIGa .
                                                                                                                                                                                           CIIlIrtI
                                                                                                                                                                                          A II
                                                                                                                                                                                          at           ;;
                                                                                                                                                                                                                      I
                                                                                                                                                                                                                    ....
                                                                                                                                                                                                                                209
                                                                                                                                                                                                                                   AlII
                                                                                                                                                                                                                                    S
                                                                                                                                                                                                                                   "';'
                                                                                                                                                                                                                                          x-x
                                                                                                                                                                                                                                               ,
                                                                                                                                                                                                                                             In.
                                                                                                                                                                                                                                            6.2lI
                                                                                                                                                                                                                                                      Z
                                                                                                                                                                                                                                                     .....
                                                                                                                                                                                                                                                    234
                                                                                                                                                                                                                                                                 I
                                                                                                                                                                                                                                                                In.'
                                                                                                                                                                                                                                                               548
                                                                                                                                                                                                                                                                          '-Y'y'
                                                                                                                                                                                                                                                                           
                                                                                                                                                                                                                                                                          In.'
                                                                                                                                                                                                                                                                          14.5
                                                                                                                                                                                                                                                                                      In.
                                                                                                                                                                                                                                                                                     3.76
                                                                                                                                                                                                                                                                                          ,
                                                                                                                                                                                                                                                                                               113
                                                                                                                                                                                                                                                                                                    Z
                                                                                                                                                                                                                                                                                                   ..... ....
                                                                                                                                                                                                                                                                                                               r
                                                                                                                                                                                                                                                                                                               423 1s.e
                                                                                                                                                                                                                                                                                                                       '110
                                                                                                                                                                                                                                                                                                                       In.
                                                                                                                                                                                                                                                                                                                                    12.3
                                                                                                                                                                                                                                                                                                                                         j
                                                                                                                                                                                                                                                                                                                                          'TOnIanII. '
                                                                                                                                                                                                                                                                                                                                          l'l1lpIllIII
                                                                                                                                                                                                                                                                                                                                        .....
                                                                                                                                                                                                                                                                                                                                            25500
                                                                                                                                                                                                                                                                                                                                                              c..
                                                                                                                                                                                                                                                                                                                                                              In-
                                                                                                                                                                          !t
                                                                                                                                              2'1. i'h.
             x120              au   145   14'1. 0.59l1    If                         11(
                                                                                                                                              ?JIlt W.                                    llAIl 21.1                1240        173         IIZl    182        441        II1Z       3.73       92.7           4.17 lali             7.12   20200
                                                                               V. 14.8 I~ 0.8llO 'A 1.46
                                                                =
             xlO9              32.0 WI l.w                'h                                                                                                                                                                                        173        402        55.2       a71        83.lI          4.14 13.4             U7     ll1lOO
                               al 14.2 14'A               'II.14.11 1~ 0.780           'I.                                   '/.    1.3. ~               1''''                            8.34 23.6                 1110        157         6.11
                                                                                                                                                                                                                                                               ~                               '75.8           4.11 13.3             4.08   ll1lOO
                >4fiI
                ldlO'          26.6 14.0 14               'Itt14.5 14'h 0.710 ilJlI    'I.                                          1.31 2               "'It                             lD.2 25JI                  IllII      143         6.14    157                   48.8       3.10
          WlW2
            >/74
                               2U1 14.3 14'/. C).511 '/I 'I.
                               21.8 142 i4'A 11.451
                                                              to.l  10'h G.855 'A
                                                                         ',..
                                                         v, 10,1 iiJiia 0.765 ' "til
                                                                                                                                    1.45 l"ltt 1'1 10't0 5'h &.8l 22.4
                                                                                                                                    'U8 Wi Wit
                                                                                                                                    tSl 1'1. 1V1a
                                                                                                                                                                8.41 26iI
                                                                                                                                                               lUi 21r.
                                                                                                                                                                                                                     881 113
                                                                                                                                                                                                                     7Il5 .112
                                                                                                                                                                                                                    'm           103
                                                                                                                                                                                                                                             ::     138
                                                                                                                                                                                                                                                    t28
                                                                                                                                                                                                                                                    115
                                                                                                                                                                                                                                                                148
                                                                                                                                                                                                                                                                134
                                                                                                                                                                                                                                                                121
                                                                                                                                                                                                                                                                          2lU
                                                                                                                                                                                                                                                                          28.fl
                                                                                                                                                                                                                                                                          24,2'
                                                                                                                                                                                                                                                                                      2A8
                                                                                                                                                                                                                                                                                      2A8
                                                                                                                                                                                                                                                                                      2.48
                                                                                                                                                                                                                                                                                               '4U us 13.5
                                                                                                                                                                                                                                                                                                4O.S 2.lI2 i3.4
                                                                                                                                                                                                                                                                                                36.ll 2.80 13.3
                                                                                                                                                                                                                                                                                                                                        6J1l
                                                                                                                                                                                                                                                                                                                                        3.87
                                                                                                                                                                                                                                                                                                                                        101
                                                                                                                                                                                                                                                                                                                                                              8110
                                                                                                                                                                                                                                                                                                                                                              5llllO
                                                                                                                                                                                                                                                                                                                                                              l53llll
            >dl8               2ll.O 14.0 14. OAt! 'I v., 10.0 to 0.720 "I.                                                                               ~ 1.75 3lIA                                                                      ~ lDz                                    2A5       32.8 ,2.78 132                          2.18                  4710
            l<I1               17.9 lat 13'A o.rn        'lit 10-ll 10   :,',.
                                                                         u45                                                    1,24 I'll 1
                                                                                                                                                                         ,~
                                                                                                                                                                                                                     640        ' 92.':                        '107       21.1i
           ~
                                                                       Table 1-7 (continued)
                                                                                               Angles
                                                                                        . Properties
                                                                                                                                                                                                                                        Table 1.7 (continued)
                                                                                                                                                                                                                                                      Angles
                                                                                                                                                                                                                                                     Properties
                                                                                                                                                                                                                                                                                                                                        L    LfoU
                ~.~
                            
                                                                                                              AIdlll,-1
                                                                                                              ,
                                                                                                                                          "
                                                                                                                                                                         .,....
                                                                                                                                                                 fIlIIUnIIo1lllllaall
                                                                                                                                                                                                                ,           s
                                                                                                                                                                                                                                           AIIIY.Y
                                                                                                                                                                                                                                           ,                      z
                                                                                                                                                                                                                                                                                                                AlIaZ.z                                        .tlo
1).00.
                                                                                                                                                                                                                            ..'
                                            t          Wt.                                                                                                                                                                                           i                                         I                S              I                1lIIi
                                                                ~                                                       ;           z                                             c"                                                                                            '"
                                                                                                                                   ..'
                 lilIIpI                                                           I             $                                                y,             J                          i-                                                                                                                                                   Gl             bl
                                                                                                                                                                                                                            ,.
                        xmJt W.                       23.6           8.94: 2.4.5               .8.23.                                                                                                                                                                      '0.488 4.32                     1;42    0.859                    0A35               1.l11
                                                                                                              ' 2Jl3                     1.31 0.175                             lJil1      2.ll8          1.48.    2.52                   1.13      1.113       ".56
                        ~ I',.                        20.0           U& 21.11                  '5.29.'    lJ11l                  8A4
                                                                                                                                   as u.s 0.572                                 1;18       2llO           8.li8    2.2t                   1.14      1.110       4.18         0.442 a.94                    1.S0     lI.881                  0A38               1.00
                        X'Il, "Itt                    lal            &.31 182                  .4.8l      1.110 2.00                                                                                                                                                                                       1.11    ,0.884                 '0.440               too
                                                                                                                                   7:Tl 1.26- 0A01                              0.843      2.91           ,8.22' , 2.ll8                  1014      .o.eal      3.88         0.3Il\ 3.55
                        x'h 1                          18.2          4.75 17.3                  4,31      1.91  1.88                                                                                                                                                                                       1:04  '.0J67                     0A43               0m3
                                                                                                                                                                                                                                                                             ll.348 3.14
                        'JI!Itt,
                        xSJI
                                 .1IIt,
                                  1A
                                                       14.3
                                                       12.3
                                                                    .4;18 lSA
                                                                     S.81 13.4
                                                                                                3.81
                                                                                                3.30
                                                                                                         1.92 1.95
                                                                                                         1.93 1.93
                                                                                                                                   e:al 122 ci278
                                                                                                                                   6.88. 1.18 0.177
                                                                                                                                   .u8 1.16 0.104
                                                                                                                                                                                0.575
                                                                                                                                                                                0.389
                                                                                                                                                                                ll.217
                                                                                                                                                                                           2Jl3
                                                                                                                                                                                           2.94
                                                                                                                                                                                           2JIlI
                                                                                                                                                                                                           4.
                                                                                                                                                                                                           s.ii8 1.83
                                                                                                                                                                                                       .4.13                1.34
                                                                                                                                                                                                                                          1.15
                                                                                                                                                                                                                                          1.111
                                                                                                                                                                                                                                          1.17
                                                                                                                                                                                                                                                    0.857
                                                                                                                                                                                                                                                     0.933
                                                                                                                                                                                                                                                    1iJllIlI
                                                                                                                                                                                                                                                                3.24
                                                                                                                                                                                                                                                                2.18
                                                                                                                                                                                                                                                                2J3.
                                                                                                                                                                                                                                                                            .0.301 2.73
                                                                                                                                                                                                                                                                             0.252 i.31
                                                                                                                                                                                                                                                                                                           ~
                                                                                                                                                                                                                                                                                                           0.789 ON4
                                                                                                                                                                                                                                                                                                                    0.810                   0A48
                                                                                                                                                                                                                                                                                                                                           .MCIl
                                                                                                                                                                                                                                                                                                                                                               0.912
                                                                                                                                                                                                                                                                                                                                                               0.8211
                                                       10.3          3.03 1104.                ,7.77     1.94 1.110
                        x'Itt
                                          '*'                                                                                                 fAll 0.386    0.771l                         2.lI8 4.24                       1.59 0.968 I1lI29                   .2Jl8          D.376          2.58         clJ14 0.158 0.343 1.00
                1b<3'~'h                1             15.3 4.50 16.6                           4,23. U2               2111         7M
                                                                                                                                              1.41 0.168    Il34lt                         2JlO 3.33                        122   lI.9lI4 0.761                  2.18          om             2.00         0:it4 0.i63 0.3411 .lI.8I2
                             ~              'lI       11.7 ,3.42 1'1.8                         .3.23.' 1Ji'J          2m           6.7"
                                                                                                                                                                                           2.92 2.Il4                       1.113 0.G81 0.758                    1.82          0241           1.70            0.6ll9       o.m               Q.352 Cl.82tl
                             ,.".         f'"          8.80 U7 10.11                           2.72' 1.94             2JlO         U4         1.38 Q.lJlllO o.2ll1
          Beam formulas:
                                                                                                                                                                                                                                                                          Y
                                                                                                                                                                                                                                             1     + 6.76
                                                                                                                                                                                                                                                                . (.O.7F S ho
                                                                                                                                                                                                                                                                         E                         ;c )2                   .
                                                                                                         Jc
                                                                     1   + 0.078S k
                                                                                                          x       0
,I
      I
~
,)