TEE Nterchange: Es Ses S e E: e E, So - . E) /LR, e e S Se,, ', - , T,, e ", (A)
TEE Nterchange: Es Ses S e E: e E, So - . E) /LR, e e S Se,, ', - , T,, e ", (A)
"
S TEE L NTERCHANGE
          The following r esponses from previous Steel                      ments of column, respectively, can be attained by
        Interchange columns have been received:                             solving the equations proposed by J.P. Anderson
                                                                            and J .H . Wodward (AISC Engineering Journal,
           In a partially cover-plated column, how                          October 1972, pp. 157 - 166) or by entering Table 1
        would you analyze the column for governing                          (included in Appendix B) with the values of 1/11,
        IIr ratio to calculate F.?                                          L/Lr, and P jI\ under the appropriate end condl-
                                                                            tion category.
                                                                               In this case, by using Table 1, L, = 10', L. = 30',
                                                                            P, = 0.0, P T = p, then L/Lr = 0.33, P./PT = 0.0 and
                                                                            the end condition is "Fix-Free"; theretore, by enter-
                                                                            ing the value ofI\II, (the ratios of moments of iner-
                                                                            tia of upper and ower segments, respectively) the
   •
                                                                            values of K, and K, can be determined by interpo-
                                            ,,                              lation.
                                            ••                                 Kunming Gwo, P.E.
                                    . I.    ~~
                                                                               HCI Steel Building Systems, Inc.
                                                                               Arlington, WA
                                        ~)(~
                                            -«
                                                                            Another answer:
                               ()
                                    ,
                                            ,,
                                            •    0
                                                                            T      column. Instead, calculate the theoretical
                                                                                   Euler buckling load, and then check both the
                                                                            elastic and inelastic allowable buckling loads.
                                            ..., ,
                                        o~~
                                        ,                                      Ther e are several procedures to calculate the
                                            -«                              Eul er buckling load. Simple hand calculation
                                                                            methods include Finite Differences, integration, or
                                                                            Newmarks Method. Example calculations for the
                                                                            first two methods are available in " Principles of
                                            -Ift-_.
          !ISSLI"'';    I< =    :2 . 0
                                                                            Structural Stability Theory" by Alexander Chajes,
                                                                            and the la st in "Theoretical and Applied
                                                                            Mechanics" edited by N.M. Newmark.
                                                                               After finding the theoretical Euler buckling load
                                                                            (P), determine whether elastic or inelastic buck-
                                                                            ling controls. If the Euler buckling load (P) is less
             ince the r's (r a dius of gyration) are known ,                than P j2 (where P = AF ) then elastic (Euler)
    •
        Roofs to Column Anchorage " Appendix B:                             yo u have the allowable axial load .
        Calculation of Effective Length s of Stepped                           If inelastic buckling controls (i.e. P,,>P /2) it
        Columns, the values of 1(, and K" representing the                  becomes a littl e more complicated. Lets dissect
        effective length factors tor upper and lower seg-                   AISC ASD Equation E2-1. The denominator is sim-
                                                                                                                  •
(Kl/r)/C, and you have an equation rewritten in         special requirements must be id entified on the
terms of force. Use the small er section to deter-      engineering drawings an d stipu lated in the bid
mine steel area, A, since ine lastic buckling will      documents.
occur there first.                                           American Institute of Steel Construction
   Remember that K is a lready included in P ,               Cbicago, IL
since you determined the buckling load P" directly
with its actual houndary conditions.
   Duane L. Siegfried, P.E.,S.E.
   Ralph Hahn and Associates, Inc.
   Springfield, IL                                                  New Questio ns
Another response:
                                                          Are tbere special requirements for the
T
      he most common approach is to use the for-        design of High-strength A325 or A490 bolts
      mula P,,=K,1l2E I,lL" where E II, is the stiff-   that are going to be in a high temperature
      ness of the smaller section, L the total length   area?
of the column, and K, depends not only on end con-        Alice Leich
straints, but a lso on the ratio of stiffness and         S.E.S Environmental, Inc.
lengths for the two sections.                             Knoxville, TN
   Values of Kl are tabulated for different end con-
straints and ratios of stiffness and lengths in           If a W-shaped column is made up of three
"Formulas for Stress and Strain", by Raymond J.         welded p lates, how does one design the welds
Roark and Warren C. Young, McGraw-Hill, New             connecting the plates together?
York (various editions).
   For the case in question (cantilever column), ~
varies between and 0.5, with the larger section up        Correction:                 The answer by James
to twice as stiff as the smaller one.                   McCarthy in the June issue referred to the wrong
   Behrauz Jazayery, P.E.                               question. The correct question is: In a partially
   Mueser Rutledge Consulting Engineers                 cover·plated column, how would you analyze the
   New York, NY                                         column for governing I I r ratio ? We regret the error.   •
•
    angle, a channe l (see figure ) or any othe r sec-
    tion.                                                                  For negative pressu re in the duct or wind load
                                                                        acting on the duct
                                                                        surface, stiffe n er's
    T   he effective width of the plate to be used in
        computing design properties (i.e. moment of
    inertia and section modulus, etc. ) Of the section
                                                                        outstanding leg wi ll
                                                                        become the compr es-
    may be determined based on the limiting width-                      sion flange. This will
    thickness ratio for compression elements formula :                  require that either the
                                                                        allowab le stress be
       b 95                              1901,
       T = Jr,' as b.= 2band I = I" b. = 7,                             reduced in accordance
                                                                        with AlSC provisions
       where I, = thicknessof the plate.                                or additional lateral
                                                                        support be provided at
       For the channel used as a stiffener, b. = II +    ~"             required spacing not exceeding the ca lcu lated L,
                                                                        for the effective section. The suggested lateral sup-
       where II   =flange width ofthe channel section.                  port detail is shown.
      It may be noted that be is independent of the                        L.Sundar
    value of the thickness of the stiffener.                               Raytheon Enginee rs and Constructors
      Another independent reference source, USS                            T a mpa, FL
    Steel Design Manual, 1974, page 86 (Authors: R.L.
                                                                           I s the r e a more effici e nt and cos t-effective
    Brockenbrough and E.G. Johnston ), uses the fol -
    lowing formula for a similar situation:                             way to connect a masonry shear wall to struc-
                                                                        tural st eel framing? The most common prob-
               _
              b 6OOor                                                   le m with the following d e tail is that once the
                -7                                                      m asonry is built up to the bottom flange of
              where b =b. =effective wIdth of the plate.                the b eam, the r e is not e nough room to install
              I = plate thi cknes~ in.                                  the grout and continuous r e inforcing b a r s in
                                                                        the bond beam at the top of the wall. If the
              F, = Yield strength of the plate steel, psi
                                                                        bond beam is dropped a course in e le vation,
                                              -
                              ,
                  ,       !
                                  !
                                                  .'"   KIf BCL T POSJlJD-I     10   "ATC~   OftOPPCD CORSe J... TH[ aCtlD lCAH CLeVA nON)
    ~       .                 : ..    f- '-
                                                                                                       I
1["
THu, Fang
    he a bove detail might be somehow more em-
    cient and cost-effective.                                                                 New Questions
   Butler Manufacturing Company                                                   Listed below are questions that we would like the readers to answer
   Shanghai P.R.C.                                                            or discuss.
                                                                                  If you have nn answer or suggestion please se nd it to the Steel          •
  Are there special requirements for the                                      Interchnnge Editor, Modern Steel Construction, One East Wacker Dr ..
design of high-strength A325 or A490 bolts                                    Suite 3100, Chic8b"O, IL 60601-2001. If you have a question or problem
                                                                              that readers might help 8Olve, send these to the Steel In terchange Editor.
that are going to be used in a high tempera-
ture service?
                                                                                                           Slory   ShfOf,   VI/
                                                                                                                                                            •
   Harold O. Sprague
   Black & Veatch                                                         moments should apply on the windward side.
   Kansas City, MO
                                                                            Stuart Snyder, P.E.
                                                                            Snyder Associates
                                                                            West Chatham, MA
      The following responses from previous Steel                       the net tension that the anchor bolts experience
    Interchange columns have been received:                             does not exceed the clamping force that results
                                                                        from "snug tight" tightening of the nuts. Kulak,
       Specifications currently exist which                             Fisher, and Struik in their book Guide to Design
    require minimum pretensioning loads for slip                        Criteria for Bolted and Riveted Joints indicate that
    critical connections. There is, however, no                         this clamping force from "snug tight" nuts in A307
    guidance regarding minimum pre-loading of                           anchor bolts is not very great and should not be
    anchor boIts which occur at column bases.                           considered to have any influence on the connection
    While in most situations this issue is academ-                      design. The preloads that result from "snug tight"
    ic since the anchor bolt nut and thread pro-                        nuts on A307 bolts are usually in the elastic range
    jection are below the plane of the concrete                         (somewhere in the sloping portion of the stress-
    slab on grade and are eventually embedded                           strain curve) where minor variations in the start-
•
    in concrete at the slab isolation joint, there                      ing point, amount, and accuracy of the nut rotation
    are instances where the nut and thread pro-                         have a greater influence on the amount of preload .
    jection remain exposed_ Is tightening the nut                       On the other hand , pretensioning high-strength
    to "snug tight" and tack welding the nut to                         bolts to the specified values actually stretches the
    the bolt thread the only solution in prevent-                       bolt (ca lled set) and produces a large, constant
    ing the nut from backing off?                                       clamping force that is baSically unaffected by the
                                                                        conditions at the starting point of nut tightening
        n general, anchor bolts are selected from mater-                (snug tight).
•
    sional shear and tensile forces. The design tension                    Rust Engineering Company
    loads at column bases are usually a result of large                    Birmingham, AL
    wind forces that the structure seldom experiences
    wi th the presence of large dead loads. Therefore,
~
        l of the examples and deta ils
       in the man u a l fo ll ow t h e                                                AngJ. .1
         eq u irements of t h e AISC                                                  sl.". n.1
S pecificatio n for S tructu ra l Stee l                                              criticol
Buildings. Section J1.6 of the LRFD                                                                                                Opflonol m.lhod (or
                                                                            1 1.5,.                                               making com" rodlus
Specification and Section Jl.8 of the
ASD Specification include require-                                                                                                 Notes:
me n ts for beam co pes an d we ld                                                                                                1. Fo r ASTM A6 Group" " 5
                                                                                                                                  .hapel Ind welded bUilt-up
access holes . These dime nsionin g                                                                                               . hape. with plate thlc.ltneue.
requirements are for all weld access                                                                                              more than 2 in .• preheat to 150
                                                                                                                                  degnes F pnor to thermal cut-
holes and copes. The commentary to                                                                                                tm" gnnd and InlIpect thermal·
eac h sectio n i ncl ud es dr aw in gs                                   110010d sho".' or                       rttJ.1           I, rut ~ of ac:c.a ho&e Id;LDI
                                                                                                                                                                          •
                                                            5. 1'hmIe are typical detail. for JOint. welded from one aide 8gnlntt Iteel backing. AlternatIVe joint
                                                            dea1pl1 I hould be ooclIldered.
                             N         E W                   Q u EST                                               o       N         S
    Listed below are questiollB that we would like the readers to answer
or discuss.
    If you have an answer or suggestion please send it to the Steel Inten:                                                           ~
hange Editor, Modem Steel Con8truction, One Ea8t Wacker Dr., Suite 31
00, Chicago. IL 60601·2001. Questions and l1!8ponses will be printed in               v>JFNvAL LF6t                                  F= ==
futu re editions of Steel lnterchange. Also, jf you have a question or prob-          AH ..Lr                                                 ~
                                                                                                                                                             I:!I!:rc/\
lem that readers might help solve, send these to the Steel Interchange
                                                                                                                                     I
Editor.
      The following responses from previous Steel                       ing are more appropriate:
    Interchange columns have been received:                                - Fisher and Buettner, Industrial Buildings -
                                                                          Roofs to Column Anchorage, Design Guide 7,
       In what instances, if any, and under what                          AlSC, 1993.
    criteria can the attachment of grating with                            - Guide for the Design and Construction of
    mechanical fasteners be used to provide lat-                           Mill Bu ildings, Technical Re port No . 13 ,
    eral bracing to the compression flange of the                         Association of Iron and Steel Engin ee rs ,
    members supporting the grating in applica-                             Pittsburgh, PA, 1979.
    tions such as walkways and catwalks?                                   - Merritt, F. S., Structural Steel Designers
                                                                          Handbook, McGraw-Hili Book Co., New York,
            ur company manufactures industrial grade                       1972.
O fiber gla ss grating for walkways and cat- - Gaylord, E. H . Jr . and C. N . Gaylord ,
•
            walks su pported by all medias, i.e. steel, alu-              Structuretl Engineering Handbook , 2nd
    minum, stainless stee l, timber, and fiberglass                       Edition , McGraw-Hili Book Co., New York,
    beams . Weight reduction is very critical for this                     1972.
    type of application, and eliminating cross beams is                   Gary J. Davis, P.E.
    quite common.                                                         Phoenix Engineering Services
       Although design criteria for this type of applica-                 South Milwaukee, WI
    tion is limited , two parameters used for design are:
       1. The type of mechanical fasteners used - must                     Specifications currently exist which
    be capable to resist cross movement and/or twist-                   require minimum pretensioning loads for slip
    ing of the compression flange. When tightened, the                  critical connections. There is, however, no
    clamping action should produce the proper friction                  guidance regarding mjnimum pre-loading of
    between grating and beam.                                           anchor bolts which occur at column bases.
       2. Use L, = maximum unbraced length of the                       While in most situations thjs issue is academ-
    compression flange or 2'-0" maximum to deternline                   ic since the anchor bolt nut and thread pro-
    fastener s pacing.                                                  jection are below the plane of the concrete
       These two general rules seem to satisfy both the                 slab on grade and are eventually embedded
    fastening requirements for the grating and lateral                  in concrete at the slab isolation joint, there
    support for the compression flange.                                 are instances where the nut and th"ead P"o-
    Richard L. Cole, P.E.                                               jection remain exposed. Is tightening the nut
    Aligned Fiber Composites                                            to "snug tight" and tack welding the nut to
    Chatfield, MN                                                       the bolt thread the only solution in prevent-
                                                                        ing the nut from backing off?
       Serviceability is a particular concern for
    crane systems in industrial buildings but is                               nug tightening and tack welding the nuts is
    not clearly covered in the standa,'d code lit-
    erature_ What are deflection limits for crane
    runway systems?
                                                                        S      not the on ly solution to prevent the nuts from
                                                                               backing off. We have s pec ifi ed A449 high
                                                                        strength anchor bolts (tensile strength = 105 to 120
    T
           h e r eferences given in a prev iou s Steel                  ksi ) instead of the ordinary A36 anchor bolts when
•
           Interchange column are mainly concerned                      the structure is s ubject to fatigu e loading.
          with cranes and hoisting equipment. If some-                     We pretension the bolt to develop 70 percent of
    one is interested in industry standard references                   the s pecified minimum tensile strength of the bolt.
    for allowable crane runway deflections, the follow-                 The bolt is greased with bond break er all the way to
                   5     TEE L                    NTERCHANGE
its end to permit stretching of the bolt while ten-
sioning. The tension is developed into the footin g
by an adequately designed heavy plate at the bot-
tom of the bolt. To furth er prevent th e nut from
loosenjng ( which is not likely to occur for a prope r-
                                                                                                                                •
ly pretensioned bolt), a lock nut or Pal nut can be
added to secure the nut afte\" pretensioning.                   M,e..
   We used th e A449 a nch or bolts for a 160' ta ll
steel t ubular tower that supports a 600 kW wind
turbine unit. The tower was des igned to meet the
UBC a nd Eurocode 3 Fa tigue Provisions. Eurocode
3, Cha pter 9, Fatigue, s pecifies a n extremely low
stress ra nge for a n ordinary anchor bolt without
                                                                                 PLAN
preloading (the lowest stress ra nge category in the
Eurocode). The use of high strength a nchor bolts
with preloading is a ppa rently the common pract ice
in Europe when the fatigue strength is critica l in
the structura l design .
David L. Koo, C.E.
Warren A Minner & Associates
Bakersfield, CA
              New Questions
    Listed below are questions t h at we wo uld like
t he readers to a nswer or discuss.
    If you h ave an a nswer or suggestion pl ease send
it to the Steel Inte rchange Editor, Modern Steel Co
nstruction , One East Wacker Dr., Suite 3100, Chic
ago, IL 60601-200l.
                                                                               V i eW        A                                  •
    Qu es tions a nd r es pon ses will be pri nted in
future editions of Steel Inte rch a nge. Al so, if yo u
h a ve a qu esti on or probl e m th at r eaders might
he lp solve, send these to the S tee l Inte rch a nge
Editor.
                                                                                                                                •
10 I Mode rn Steel Construction I J anuary 1995
,....
 ~
.-
, ~)
                          S     TEE L                           NTERCHANGE
            Stee l Int e rchange is an open forum for Mod e rn Steel            Answers andlor questions should be typewritten and double~
        COflstruction readers to exchange useful and practical profes-      spaced . Submittals that have been prepared by word ~ proccssing
        sional ideas and information on all phases of steel building and    a re appreciated on computer diskette (either as a Wordperfect
        bridge construction. Opinions a nd suggestions a rc welcome on      file or in ASCII format ).
        any subject. covered in this magazine. [ f you have 8 question or       The opinions expressed in Steel l TlterchaTlge do not necessar~
        problem that your fellow readers might help you to solve. please    ily represent an officia l position of t he American Institute of
        forward it to Modern Steel Construction . At the same time, feel    Steel Construction, Inc. a nd have not been reviewed . It is recog·
        free to respond to any of the Questions t.hat you have read here.   nized that the design of structures is within the scope and
        Please send them to:                                                expertise of a competent licensed structural engineer, architect
                              Steel Interchange                             or other licensed professional for the application of principals to
                        Modern Steel Construction                           a particular structure.
                     One East Wacker Dr., Su.itc 3100                            Information on ordering AISC publications mentioned in
                         Chicago, IL 60601·2001                             this article can be obtained by calling AJSC at 800l644 ~ 2400 .
          The following responses from previous Stee l                      at its outer end. The ANSI method is the most log-
        Interchange columns have been received:                             ical, L unbraced equals 2 times the actual length .
                                                                            If the cantilever is braced, the brace should con necl
          Are there any limitations on the span to                          to the top tension flange at the end, to offset twist'.
        depth ratio of beams required by AISC                                  The interior unbraced length, should be the dis-
        Specification for Structural Steel Buildings?                       tance between supports, per ANSI specifications on
           n the Commentary on the AlSC Specification (9                    Monorail Systems' .
•
        be not less than (F/800) times the s pan . If mem-                  bea m depth must be deep enough for the trolley
        bers of less depth are used, the unit stress in bend-               wheel diamete r. Flange bendin g strength unde r
        ing should be decreased from than recommended                       the wheels is important a lso.
        above."                                                             I  Timoshenko, S., "Theory of Elastic Stability",
        Alex Krasilousky, P.E.                                                  p. 260 & 269, 1961.
        Ridgefi eld Park, NJ                                                , AISC , "Ma nu a l of Stee l Const ructi on,
                                                                               Allowable Stress Des ign ", p. 5-47 , Ninth
                                                                               Edition.
           For a continuous trolley beam with multi-                        3   ANSI, "Am e rican National Standard
        ple spans and cantilevered e nds what is the                           Specifications for Underhung Cranes a nd
        lateral unbraced le ngth for the bottom                                Monorail Systems", p. 7, MH 27.1-1981.
        flange?                                                             , AlSC, "Steel Design Current Practice, Bending
                                                                               Members - Buckling and Bracing", p.27.
                                                                            Claude R. Krout, P.E.
                                                                            Birmingham, AL
               he late ral unbraced length of a cantilever                  T       it was the auth or's opinion that the existing
                                                                                    loads presently on the beam should act on
•       braced against twist. The AlSC code' states that L                  ing plastic stress distribution for positive moment,
        shall conservatively be taken as a unity, if the s up-              the composite section can carryall the load if the
        port is braced against twist. ANSI' Monorail                        followin g requirements are met:
        Specifications specify L to be 2 times the length of                1.iI>M" ~ M, for the composite section .
        cantilever, since the cantilever is not fully stayed                2.Yi e ldin g of the bea m does not occur at t he
                                                                                                                   •
and warping longitudinal stress crw = Ew.(d' <I>Idz') .
Under the loading conditions shown all three of
these stresses can be present. Their magnitude
will depend on the magnitude and location of the
loads and the boundary conditions of the angle.
                         S                                     N T E R C H ANGE
 •
                               TEE L
         Stttl Intrr~hange is an open forum for Modun ttel                     Answers andlor questions should be typewritten and double-
       Construdlon readers to exchange useful and practical profes-        spaced. Submittals thnt have been prepared by word-proc('sslOg
       s ional ideas and mrannalian on all phases of steel building and    an> appreciated on computer dlsk£'tte (either as 8 Wordperfect
       bridge construction. Opinions and suggestions are welcome on        file or in ASCII formal).
       any subject covered in thiS maganne. If you have 8 quelilian or         The opinions expressed in Sl"llllt('rchang~ do nol necessar·
       problem that your fellow readers might help you to solve, plea~e    Ily represent an officia l poSition of the American Institute of
       forward it to Modern Steel Construction. At the some ti me. fee l   Steel Construction, Inc. and have not bee n revi ewed. It is recog-
       free to respond to any of the questions that you have read here.    nized th at t he design of stru ctures is wi thin th e scope Rnd
       Please send them to;                                                expertise of n competent licensed structu ral enginee r. architect
                          Steel lnterchange                                or other licensed professional fo r th e application of prin Cipa ls to
                      Modern Steel Construction                            n particul ar s tru cture.
                    One East Wacker Dr., Suite 3100                            Inform at ion on ordering AISC publi cations mentioned in
                        Chicago, IL 60601·2001                             this article enn be obtained by ca ll ing Al SC al3 121670-2400 ext.
                                                                           433.
 •
               wa ll ; non-load bearing, constructed between
                                                                             rigure 12 Through Wall Tic PrimJry Stl"'('1 P.lr.llld To rtr(' W~lll
       two double-column lines, structura l me mbers on
       each side of the wa ll at the sa me elevation a nd pri-
       mary fra ming members par a llel to th wa ll . For a
       sce n a ri o s u ch as thi s the recomme nda t ions of              for t he s lack provid ed in the through -wa ll ti es .
       Factory Mutual Loss Prevention Da ta Book 1-22                      This slack ins ures that the colla psing fram e on the
       are very specific and are as follows .                              fire side of the wa ll will not pull on the wa ll before
          The a nti ci pa t ed h ori zonta l compon en t of the            there is resistance provided from the fra me on the
       force resulting from the colla pse of the structura l               unexposed side of the wa ll via the t hrough -wall
       frame on one side of the wall should be resisted by                 ties.
       the remaining structure on the opposite side of the                    Th e F actory Mu t u a l r eco mm e nd a t io ns a lso
       wall. Th is is accompli sh ed through the use of                    include provisions for adequate sepa ration between
       through-wa ll ties. The ties are designed based on                  the double-column line a nd the fire wa ll to prevent
       the horizontal pull "H" calcul ated from the formul a               damage to the unexposed structure during the ini-
       provided in Recommendation #3 of the referenced                     tia l stages of the fire.
       FM Data Book, us ing an a llowable stress of not                       D. Matthew S tuart, P. E.
       mor th a n 10 ksi. A deta il of the recommended                        Th e Stellar Group
       installation of the through-wall tie a t each column                   J acksonville, FL
       line is shown in Figu re 12 of the same FM Da ta
       Book. For the situa tion indica ted by the sketch in                   What is the mos t e ffi c ie nt way to e nlarge
       question, it may be necessary to a lso install ties                 a n e xisting footing, whe n n e w loading condi-
       more often tha n every column line. In e ither case,                tions are a pplie d ?
                                                                                  here is a good article dealing with this prob-
       enough slack should be provided in the tie connec-
       tion to a llow for norma l buiJding movement.
          While the through-wall ties insure the continu-
       ity of the opposing fra mework a t the fire wall , fl exi-
                                                                           T      lem. It was published in the fourth qua rter
                                                                                  AISC Journ a l 1980 a nd was a uthored by
                                                                           Agrawal a nd Stafiej. The pa ra mete rs requ ired to
 •
       ble masonry a nchors should be provided at a pprox-                 solve the proble m include ratios of the res pective
       imate ly 2 to 4 feet on ce nte r to brace th e wa ll                moments of ine rti a of th e two column sections,
       laterally (see Figure 13 of the referenced FM Data                  ratios of axia l loa ds a ppli ed at the top of the col -
       Book). It is important to note th at enough slack                   umn to loa ds at the lowe r section , and ratios of the
       should be provided in t he anchors to compe nsate                   upper le ngth to th e low e r le ngth . Us ing th ese
                  S
                                                                                                                                     •
                        TEE L                  NTERCHANGE
ratios, one then uses a chart which gives equiva-
lent effective lengths factors for the composite col-
umn for six different end condition cases, pin-pin,
flx-free (Steel Interchange question case), fix-pin,
fIx-slider, fIx-fix, fIx-pin, and pin-slider. From the
determined effective length factors, the effective
lengths of the upper and lower column sections are
easily obtained for use in the Euler buckling for-
mula.
   James F. McCarthy
   Folsom, CA                                              Fran M. Lacsina
                                                           Melrose Metals
  Is the method of determining the flexural                Freemont, CA
design strength of a single angle given in the
Manual appropriate for unequal legs not                    Is there a more efficient and cost-effective
loaded through the shear center?                         way to connect a masonry shear wall to struc-
M
        ood reference for this question is a paper       tural steel framing? The most common prob-
       by Tide, Raymond H. R. And Norbert V.             lem with the following detail is that once the
         rogstad, Economical Design of Shelf             masonry is built up to the bottom flange of
Angles, Masonry: Design and Construction,                the beam, there is not enough room to install
Problems and Rep air, ASTM STP 1180 , John               the grout and continuous reinforcing bars in
Melander and Lynn R. Lauersdorf, Eds. , American         the bond beam at the top of the wall. If the
Society of Testing and Materials, Philadelphia, PA,      bond beam is dropped a course in elevation,
                                                                                                                                     •
1993, p. 60.                                             the masonry to steel beam connecting angle
  R. H. R. Tide                                          vertical leg or bent plate vertical leg becomes
  Wiss, Janney, Elstner Associates, Inc.                 excessively long.
  Northbrook, IL
EEAM
TEQCX)E ~
              New Questions
    Listed below are questions that we would like
the readers to answer or discuss.
    If you have an answer or suggestion please send                        .. -1----- ~
                                                                           ~.
it to the Steel Interchange Editor, Modern Steel Co
                                                                                    '.
                                                                                     ' \r'~'~"
nstruction , One East Wacker Dr., Suite 3100, Chic
ago, IL 60601-2001.                                                                             WI I 117 vamcAL 9...0T AT
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                                                                                                • AI.. TERNA TE EA 5I)E CF
future editions of Steel Interchange. Also, if you        M'EtF. f GROJT FU                     CMJ WAlL
have a question or problem that readers might                                                   S' DEIP u-a..c:x:x 80NJ EEAM
                                                                                                WI (2) • !I c;o.rr. CSLCR: TO
                                                                                                MATO< BEAM>
help solve, send these to the Steel Interchange
                                                                                                ef   o.u SJ-EARW.Ail.
Editor.
                                                                                                                                 •
                                                           Morrison and Sullivan Engineers
that contributes to the section of a stiffener?            Raleigh, NC
Th e stiffening member may be a flat bar, an
angle, a channel (see figure) or any other sec-
tion.
                                                                        N
    dynamic loads, the notch which is sometimes pro-
    duced by welding on one side on ly may lead to                             ferred through the connection, the simplest
    fatigue problems. In such a case, fatigue stresses                           nd most efficient connection would proba-
    should be checked according to the procedures                       bly involve the installation of a plate, with appro-
•
    defined in the AlSC Manual and other appHcable                      priately sized a nchors to transfer shear, fl ush with
    codes.                                                              the face of the column. The plate wou ld be secured
       Kunming Gwo, P.E.                                                to the inside face of the colu mn fo r mwork to pre-
       HCI Steel Building Systems, Inc.                                 ve nt its dis location du ring co ncrete placemen t.
       Arlington, WA                                                    After t h e fo rm wo rk fo r the co lu m n h as been
              New Questions                                                                            H
                                                                                                   • ""!';'---
                                                                                     ...
                                                                                  0 .. ..;
                                                                              ..... II II
PJ
       e there any limitations on the span to
      depth ratio of beams required by AlSC                                         "'=<
        pecification for Structural Steel
Buildings?
                                                       flS51Jf>1~ }<. =   z. 0
                                                                                    ~ ---
      he Manual of Steel Construction
T
       he AlSC Code of Standard Practice in
       Section 2.1 lists items that are classified
       as "strutural steel" while Section 2.2
lists those items not classified as "structural
steel". The rules is the AlSC Specification
and Code of Standard Practice apply to
sturctural steel members. One of the items
classified as " not structural steel" is stairs,
catwalks,handrail and toeplates, what crite-
ria is used to design these members?                                                                             •
10 I Modern Steel Construction I March 1995
r-- -. ---
S TEE L NTERCHANGE
           Th e foll ow ing res ponses from prev iou s Steel                   What c r iteria is u se d to d es ign " NOT
         Inte rchange columns have been received:                           S TRUC T U R AL S TEEL" m e mb e r s s uch a s
                                                                            stairs, catwalks, handrail, a nd toe plates?
            Are the r e a n y limi tation s o n t h e s p an to
         d e pth r a t io of beams re qui red by AISC                              or those "NOT STRUCTURAL STEEL" mem-
         Specification for Structu ral Steel Buildi n gs?
   •
         tions. The commentary states the following:                        Architectura l Metal Manufacture rs (NAAMM) in
            "Although d efl ecti on , ra th e r th a n s tress, is          addition to the local building codes.
         som etim es t h e cri ter io n of satisfactory designs ,              As regard to th e load criteri a,the building code
         there is no single scale by which the limit of tolera-             shall cover t he minimum design loads for each sub-
         ble defl ection can be defined. Where limitations on               ject item, for exa mple 1991 Uniform Building Code,
         flexibili ty ar e desirable, they are often dictated by            Table 23-A and 23-B.
         the nature of collatera l building components, such                   Kunm ing Gwo, P.E.
         as plastered walls a nd ceilings, rather than by con-                 HCI Steel Building Syste m s, Inc.
         s ide ration s of hu ma n co mfort a nd sa fet y. The                 Arlington, WA
         admi ssible a mount of movement va ries with t he
         type of component . The most satisfactory solution                    The Ma nual of S teel Construction includes
         must rest upon tbe sound judgement of qua lified                   many ite m s that are u sed along with struc-
         engineers. As a guide, the following rules a re sug-               t ural st eel frames, thi s is very conve nie nt for
         gested:                                                            structural e ngin eer s. Howe v e r , s ome of the
             1. The depth of full y stressed beams and girders              tables d o n ot provide a ll of the information
         in floors should , if practicable, be not less tban                n eed e d b y e ngineers. One of the tables that
         (F / BOO) times the span . If members of less depth                AI SC includ es co ver s the dime n s ioning of
         a re used , the uni t stress in be nding s hould be                cotter p in s . What is the s tre ngth of cotte r
         d e cre a se d in th e sa me r a tio as t h e d e p t h is         pin s li s t e d in th e Manual of Stee l
         decreased from that recommended above.                             C on st ru c tion ? Wh ere ca n t h ese ite m s b e
             2. Th e d e pth of full y st r esse d roof purlin s            obtain e d ?
         should , if practicable, be not less than (F j IOOO )
         times the span , except in the case of fl at roots ."                     otter pins are commonly constructed of type
             Although these a r e only suggested guidelin es
         and not str ict limitations, they offer some useful
         assistance to the question.
                                                                            C      AlSI 10IO low ca rbon steel or type 302 stain-
                                                                                   less steel. Dimens ions of the pins a nd the
                                                                            recomm e nd ed h ole s ize a r e cove r e d by ANS I
                  S    TEE L                  NTERCHANGE
steel) one can calculate the shear strength of cotter
pin s. Cotter pins are manufactured and sold by
numerous companies. Local distributors are usual-
ly found in the Yellow pages under "Fasteners" or
"Bolts and Nuts". Usually distributors of slotted
                                                         pie spans and cantilevered ends what is the
                                                         lateral unbraced length for the bottom
                                                         flange?
                                                            Can the distance between points of
                                                         moment inflection be considered an
                                                                                                                           •
nuts, clevises and simj lar hardwa re sell cotter pins   unbraced length?
even though their Yellow page advertisement may             Larry Nix, P.E.
not say so. Manufacturers are \jsted in the Thomas          Dallas, TX
Register under "Cotter Pins" and "Pins: Cotter".
Machinery's Handbook and the Thomas Register
can be found in many public or college libraries.
   Doug Werner
   Douglas Engineering
                                                              I              :r                          :r
   Westminster, CO
                                                                                                                           •
ica lly numerical, and the identi fication of the most   the bolt in tension and the lower edge of the
hi ghly st ressed segme nt du e to the axial load .      vertical leg of the angle in compressive con-
Although the column wi ll buckle as a whole, the         tact with the waH, what is the stress distribu-
most highly stressed segment can be used to find         tion in the angle? Is only part of the angle
an effective KlIr lead ing to an a llowable axial load   effective in resisting the applied loads, based
for the entire co lumn. Allowable stresses for a ll      on the spacing of the bolts?
segments will fo llow.                                      Greg Michel, P.E.
   C. P. Mangelsdorf                                        Mani Muthiah, M.S.E.
   University of Pittsburgh                                 Lescher & MahoneyffiLR Group
   Pittsburgh, PA                                           Phoenix,AZ
              New Questions
                                                                                VER TIC AL LOAD , N 80 TH OIlI![C Tl ONS
      The following responses from previous Steel                      connecting the plates together?
    Interchange columns have been received:                                n general it is best to weld a long the full length
    N
              TM A325-89. paragraph 1.2 stated in part:                Steel Construction. Assuming there is no moment
            "... where elevated temperature ap plications              introduced into the column onc should use the min -
•
        Industrial Steel                                                       ne answer published in the July 1995 issue
        Mims, FL
                                                                                                                     •
Testing and Mate ri a ls, Philadelphia, PA                    Is there any criteria, except direct field
   J a ramill o, T.J ., "Defl ections a nd Moments Due      measurements by drilling holes, to determine
to a Concentra ted Load on a Ca ntilever Plate of           the percent loss of capacity in steel bridge
Infinite Le ngth ." J ournal of Appli ed Mecha nics,        members due to weather exposure for the
Ma r ch 1950, Am e r ica n Soci e ty of Mec h a ni ca l     purpose of rating the truck capacity of
Engineers, New York , NY                                    bridges.
   R.H.R. TiM                                                 Mike Alomari
   Wiss, Janney, Elstner Associates, Inc.                     Wayne County
   Northbrook, IL                                             Sterling Heights, MI
    Given a wall of sheet metal or plate sub-                  Where should a control joint be located in
jected to fluid pressure and stiffened by same              a composite large composite floor? Should it
size paralJel members spaced regularly, what                be located over the top of either the girders
section (or width) of the wall shall be used                or the beams? What happens to the strength
that contributes to the section of a stiffener?             of the shear studs if the concrete cracks over
The stiffening member may be a flat bar, an                 the shear studs? Does this crack go all the
angle, or a channel or any other section.                   way through the slab to the top of the steel
                                                            beam?
T
        he section of wall tha t contribu tes to the sec-
        tion of a stiffener is defin ed by means of a n
        effecti ve width be which sha ll not exceed:          Can any beam be cambered without heat-
   a) The geometri c condition , that is the di sta nce     ing? Is there a slenderness li mit for the web
between center line of adjacent bea ms.                     to prevent buckling of the web while cold
   b) The shear lag condition, which may be esti-           cambering?
mated as 'I, of the effective beam spa n (length of
positive moment a rea of the rib).                            Is it acceptable to either mechanically gal-
   c) The stabil ity condi tion of the plate between        vanize or hot d i p galvanize high strength
stiffeners (see "Specifica tion for the Design of Cold
Form ed Stee l S tructural Membe rs", AISI, 1986,
B2 .1).
   With the effective width so defin ed a verification
                                                            bolts? Are there different requirements for
                                                            the installation depending on how the bolt is
                                                            galvanized?
                                                                                                                     •
10 I Modern Sleel Construction I November 1995
•                     S     TEE L                          NTERCHANGE
       Steel Interchang e is an open forum for Modern Stee l
    Construction readers to exchange useful and practical profes-
    sional ideas and information on all phases of steel building and
    bridge construction. Opinions and suggestions are welcome on
    any subjecL covered in this magazine. If you have a Question or
                                                                           Ans wers and/or questions should be typewritten and double-
                                                                       s paced. Submitta ls that have been prepared by word -processing
                                                                       arc appreciated on com pute r diskette (either as a Wordperfect
                                                                       file or in ASCII format).
                                                                           The opinio ns expressed in Sleel l lllerchange do not necessar-
    problem that your fellow readers might help you to solve, please   ily represent an official position of the American Institute of
    forward it to Modern Steel Construction. At the same time, feel    Steel Construction , [ncoand have not been reviewed . It is recog-
    free to respond to any of the questions that you have read here.   nized that the design of structures is within the scope and
    Please send them to:                                               expertise of 8 co mpetent li ce nsed structural engineer, architect
                          Steel Interchange                            or other lice nsed professional for the app li catio n of principals to
                    Modern Steel Construction                          a particular structu re.
                 One East Wacker Dr., Suite 3100                           Information on orderi ng AISC publications mentioned in
                     Chicago, IL 60601·2001                            this article can be obtained by calling AlSC at 800/644 ·2400.
      The following responses from previous Steel                      moment without any factor of safety, L is the can-
    Intercha nge columns have been received:                           tilever length, K is an efTective length factor, E is
                                                                       the modulus of elasticity, G is the shear modulus,
       For a continuous trolley beam with multi-                       I is the ntinor axis moment of inertia, and Cw is
    ple spans and cantilevered ends what is the                        the warping constant, and J is the tor·sional con-
    lateral unbraced length for the bottom                             stant. Both J and C. are provided in the AISC
    flange? Can the distance between points of                         Manuals for sta ndard wide flange and S shapes.
    inflection be considered an unbraced length?                       The value of K varies depending on the re traint
•
                                                                       cond;tions at the root and at the tip of the can-
                                                                       tilever, as well as the location of the load with
                                                                       res pect to the neutral axis ( as indicated by figure
                                                                       5.11 of the above reference). For the case in ques-
                                                                       tion, where the cantilever is continuous over the
                                                                       root with only top flange laterally restrained at the
                                                                       root, no latera l restraints at the tip , and bottom
                                                              p        flange loading, the reference suggests a value of K
                                                                       of3.0.
                                                                          This will result in a value for the critical buck-
                                                                       ling moment. An appropriate factor of safety, typi-
              e have been involved in the design of                    cally in the range of 1.67 to 2, should be applied too
•
                                                                           Minneapolis, MN
                                              yt' EC
                                        1+             "
                                              (KL) ' C)
                ,                                    ,
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                                                                                        --
fully efTective. A general rule of thumb is to consid-                                                                                                                                           ,.
                                                                                                               .
                                                                                                                                                         .. "              Pit         . . . . ..
                                                                                         . . .~   I                                                                                        ~
                                                                                                                                                                                                ... .,
                                                                                             ..... -._,.. -. ..•
er a total plate width contribution of 32t for struc-                                                         ,'"                                       ,,_           .....            t ••     , .. "
                                                                                                              ,
tures comprised of A36 steel, with a corresponding                                 ..                        ..,.
                                                                                                                                                        I . . . . . . . . , •• , iN.
T
       he effective projection of the plate on either                   Has any engineering firm e ve r d esigned a
       side of the stiffener being in contact with the               multi-s tory unbrace d fram e u s ing mainly
       plate should be 16 times the thickness of the                 semj-rigid (partially restrained ) connections?
plate: Thus, b. =t + 32t2 •                                          Which, if a ny, computer programs we r e use d
   This common practice to obtain a transformed                      to a ssis t in the analysis and des ign? What are
section has been widely used in the design of tanks                  some of the major pitfalls in u s ing partially
for liquid storage per standards by the American                     res trained mome nt c onnections?
Petroleum Institute (API).                                              Michael G. Klozik
                                                                                                                                                                                                                 •
   The American Iron and Stee l Institute in its                        Medford,MA
publication entitled Steel Tanks for Liquid
•                        S      TEE L
           Steel Interchange i s an open forum for Modern Steel
                                                               NTERCHANGE
              Treatment of Simple Shear                                    tions. Recent research on the Tee framing connec-
                                                                           tions h as led to a formula (AISC Manual LRFD
           Connections Subject to Combined                                 2nd Ed. , Vol. II , p. 9-170) which can be used to
                Shear and Ax ial Forces                                    assess the resistance to fracture (ductility) of dou-
                                                                           ble angle shear connections. The formula is
       ~
                  ITS NAME rMPLIES, A SIMPLE SHEAR CONNEC-
               TION IS INTENDED TO TRANSFER SHEAR LOAD
                UT OF A BEAM while allowing the beam to                                 db l'lti!1 = O.1631f      F,b (bL'' + 2 )
       act as a simply s upported beam. The most com-
       mon simple sh ear connection is the double angle                    where:
•
       connection with angles shop bolted or welded to the                 db is the minimum bolt diameter (A325 bolts) to
       web of the carried beam and field bolted to the car-                    preclude bolt fracture under a s imple beam
       rying beam or colum n . This note will deal with                        end rotation of 0.03 radian, and
       this connection.                                                    I, is the angle thickness
          Under shear loa d, the double angle connection is                b is the di stance from the bolt line to the k dis-
       flexible r ega rding the simple beam end rotation ,                     tance of the angle
       because of the angle leg thickness and the gage of                     (see Fig. 1)
       the field boIt s in the angle legs. Th e AISC                       L is the length of the connection angles.
       Manuals (A.S .D. 9th Ed. p. 4-9, LRFD 2nd Ed . Vol.
       II, p. 9-12 ) r ecommend angle thickn esses not
       exceeding 5/, in. with the usual gages. Angle leg                      Figure 1
       thickn esses of 1/. in . to 1/, in. are generally used,                                                                 - - F'ekI Bolts
       with 1/, in. angles us ually being sufficient for the
       heaviest load. When this connection is subjected to
       axial load in addition to the shear, the important
       limit states are angle leg bending and prying
       action. These tend to require that the angle thick-
       ness increase or the gage decrease, or both , and
       these requiremen ts compromise the connection's
       ability to remain fl exible to simple beam end rota-
       tion . This lack of connection flexibility causes a
       tensile load on the upper field bolts which could
       lead to bolt fracture and a progressive failure of the
       connection and the reSUlting collapse of the beam .                    Shop---
       To the author's knowledge, there has never been a
                                                                                                               ...•
                                                                                                                      b
       reported failure of this type, but it is perceived to
•      be possible.
          Even without the axial load, some shear connec-
       tions are perceived to have this problem under
       shear alone. These are the single plate shear con-
       nections (shear tabs) and the Tee framing connec-
                                                                             Note that this formula can be used for ASD and
                                                                           LRFD designs in the form given above. It can be
                                                                                                                                               •
      ANGU;                        MINIMUM GAGE Of ANGLE (GO I.),
    TlII C KN ESS
         (In.)       " , in. dill. boll     "~I in. di ..   bull   I in. du.. bolt
                            (In.)                 (In.)                (In.)
                                                                                                                                               •
   Roswell , GA
           Th e following respon ses from previous S teel                         Needless to say that all loads from the column
         Interchange columns h ave been received:                              shou ld be removed before extens ion of the existing
                                                                               footing takes place.
                                                                                  V ijc£y P. Khasat, P.E.
                                                                                  C linton, OH
                                                                               T
                                                                                       he     Am e rican      National       Standard,
                                                                                       ANSIINAAMM MBG 531-93, M eta l Bar
                                                                                       Grating Manllal, 5th Edition, which covers
                                                                               steel, s tainless steel a nd aluminum grati ng, 1"0-
                                                                               vides exa mp les of anchorages to u sc to usc in
                     il L                                                      installations where gra ting is s ubj ect to remova l.
                                                                               Locations of these cl ips are s uggested also.
                                                                                   Thi s sta ndard also de fin es the three types of
                                                                               gr ating as fo llows:
                                                                                   - R ivetted - Grating composed of straight bear-
                                                                               ing bars and be nt connecting bars, which are
                     PLAN -      ORllSolNAL                                    joined at their contact points, by riveting.
                                                                                   - We lde d -Gratin g in which th e bearing bars
                                FI6iU/~E       £
                                                                               and the cross bars are joined at all of their inter-
                                                                               sections by either a resistance weld or conventional
                                                                               hand welding.
                                                                                   - P r ess u re-loc k e d - Press u re -locked mea n s
             Wh at is th e m ost e fficient w ay to e nla r ge                 bearing ba rs are locked in position by cross bar
         an exis ting foot in g, w h e n ne w load i n g c ondi-               deformation instead of riveting or welding. Several
         t ion s a pply?                                                       proven methods are:
                                                                                   1) Expansion of extruded or drawn tubular cross
         ~
                   oncePtual arrangement for e nlarging an                     bar;
                  exis ting footing for new loading conditions is                  2) Extruded cross bar d e for med or swaged
                   hown in the accompanying figure s (above).                  between bearing bars;
primary stccl