STUPIDSID
Answer any one question from Q1 and Q2
1 (a)
A 4 m simply supported beam subjected to clockwise moment 20 kNm at mid span, determine maximum slope and deflection in term of EI.
6 M
1 (b)
Determine moment at B for the continuous beam loaded an supported as shown in the Fig. 1(b) by Clapeyron's theorem.
6 M
2 (a)
A propped cantilever of span 3 m loaded with uniformly distributed load 10 kN/m on entire span, determine the prop reaction.
6 M
2 (b)
Determine the fixed end moments for the fixed beam loaded and supported as shown in Fig. 2(b).
6 M
Answer any one question from Q3 and Q4
3 (a)
Find the horizontal deflections of joint C of the truss shown in Fig. 3(a). The area of inclined member is 2000 mm2 while the area of horizontal member is 1600 mm2. Take E=200 kN/mm2.
6 M
3 (b)
A simply supported beam is loaded and supported as shown in Fig. 3(b). Determine support reaction at A. Shear and moment at C by drawing Influence line diagram.
6 M
4 (a)
Find force in members of the truss as shown in Fig. 4(a). Cross-sectional area and material of all members is same.
6 M
4 (b)
Draw the influence line diagram for the members U2U3, L2L3 and U2L2 of a trus as shown in Fig. 4(b)
6 M
Answer any one question from Q5 and Q6
5 (a)
A three hinge parabolic arch has a span of 24 m and a central rise of 4 m. It carries a concentrated load of 50 kN at 18m from left support. Determine thrust and radial shear at a section 6m from left support.
7 M
5 (b)
Derive the expression for horizontal thrust when a uniformly distributed load w is acting on entire span of two hinged semicircular arch.
6 M
6 (a)
A three hinged circular arch has a span of 40 m and a central rise of 8 m. It carries a uniformly distributed load 20 kN/m over the left-half of span. Find the reaction at the supports and shear at a section 10m front left support.
7 M
6 (b)
A two hinged parabolic arch of span 30 m and central rise 4m is subjected to a point load of 30 kN at the center of the arch. Find the horizontal thrust and moment at 8 m from left hand support.
6 M
Answer any one question from Q7 and Q8
7 (a)
State and explain lower bound, upper bound and uniqueness theorem.
5 M
7 (b)
A beam fixed at both ends is subjected to central point load W. The beam is of uniform plastic moment Mp. Determine the magnitude of collapse load.
8 M
8 (a)
Find the shape factor for circular cross-section of diameter f.
5 M
8 (b)
Determine collapse load in propped cantilever of span L subjected to central concentrated load W.
8 M
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