Roil.No.
B.E / B.Tech. (Full Time) DEGREE END SEMESTER EXAMINATIONS, APRIL/MAY 2012
CIVIL ENGINEERING BRANCH
SIXTH SEMESTER
C E 9351 - STRUCTURAL ANALYSIS II
(REGULATIONS 2008)
Time : Three hours Maximum : 100 Marks
Answer ALL Questions
Part - A (10 x 2 = 20 marks)
1. Draw the IL for
(a) Bending moment at quarter span of a simply supported beam.
(b) Shear force at mid span of a cantilever beam.
2. What is meant by absolute maximum bending moment in a beam?
3. Sketch qualitatively the influence line for shear at D for the beam in Fig. Q.No.3 (Your sketch
shall clearly distinguish between straight lines and curved lines)
1.61 Fig. Q.No.3
4. A beam ABC is supported at A, B and C as shown in Fig.Q.No.4. (D is an internal hinge). Draw
the influence lines for reactions at A and B.
X 4 • 3 X - 4 Fig.Q.No.4
4m 3m „ I
\< 1\< •U- 8m *A
5. What is meant by Rib Shortening? How is it influencing the horizontal thrust?
6. Which of the two arches (circular and parabolic) is preferable to carry a uniformly distributed
load? Why?
7. Distinguish between unstiffened cable and stiffened cable?
8. What is the minimum number of members required to develop a stable space truss having 4
joints?
9. What is meant by shape factor? What is the shape factor for the following sections (i)
rectangle and (ii) circular.
10. Define Kinematic theorem or upper bound theorem.
P a r t - B (5x16 = 80)
11. Four wheel loads of 10, 12, 15 and 8 Tones, spaced at 5m and followed by a udl of 1.5 t/m
extending over 10 m starting from a point 5 m behind 8t load, cross a girder of 75 m span
from left to right. Calculate the maximum shear force and bending moment at a section 30 m
from the right support.
12(a) Determine the influence line for the reaction at the middle support B of the continuous beam
shown in Fig.Q.No.12(a). Compute and sketch the ordinates at every quarter of each span.
Ik,
10 m 5 m-
Fig.Q.No.12<a)
OR
12(b) Draw the influence line for reaction at B and for the support moment at A for the propped
cantilever shown in Fig.Q.No. 12(b). Compute the IL ordinates at 1.5 m interval.
12 m -
Fig.Q.No.12(b)
3^
13(a) Derive the expression for horizontal thrust in a two hinged arch for the following loading
cases,
(i) Uniformly distributed load - w per meter throughout the span.
(ii) Central concentrated load W.
OR
13(b) A parabolic 3 hinged arch shown in Fig. Q.No. 13(b) carries loads as indicated. Determine (i)
resultant reactions at the end supports and (ii) bending moment, shear (radial) and normal
thrust at D, 6 m from A.
20 kN 30 kN 25kN/m
3m 6m
r i' /VVYVYVYVYX
Fig. Q.No.13(b)
14(a) A cable of horizontal span 21 m is to be used to support six equal loads of 40 kN each at 3 m
spacing. The central dip of the cable is limited to 2 m. Find the length of the cable required
and also its cross sectional area if the safe tensile stress is 750 N/mm . 2
OR
14(b) Using the method of Tension Coefficient, determine the forces in the members of the crane
structure shown in Fig. Q.No.14(b).
Fig. Q.No.14(b)
15(a) A continuous beam ABC is loaded as shown in Fig.Q.No.15(a). Determine the required Mp if
the load factor is 3.2.
5 kN/m 60 kN 90 kN
S •• R D
Fig.Q.No. 15(a)
Mp 2Mp
/ « ->H—: •H •
-> 8m sm 8m
12 m
OR
15(b) Find the value of plastic moment for the portal frame shown in Fig. Q. No. 15(b), loaded upio
collapse.
|20kN
± _c
6kN
1.5m
Fig.Q.No. 15(b)
•s/ss.
