JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech II Year STRUCTURAL ANALYSIS I Previous Question Paper (December - 2018 - R13)
Note: This question paper contains two parts A and B. Part A is compulsory which carries 25 marks. Answer all questions in Part A. Part B consists of 5 Units. Answer any one full question from each unit. Each question carries 10 marks and may have a, b, c as sub questions.
PART A
Find the degree of static indeterminacy of the truss shown in Figure 1.
Answer
The degree of static indeterminacy (Ds) for a plane truss is calculated using the formula Ds = m + r - 2j, where m is the number of members, r is the number of support reactions, and j is the number of joints.
Find the displacement of C by Castigliano’s theorem as shown in Figure 2.
Answer
According to Castigliano's second theorem, the displacement Δ at a point is the partial derivative of the total strain energy U with respect to the load P applied at that point: Δ = ∂U/∂P = ∫(M/EI) * (∂M/∂P) dx.
Obtain the equation to a parabolic arch (span ‘l’) with origin at the left hinge shown in Figure 3.
Answer
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In a continuous beam, one of the supports sinks. What will happen to the span and support moments associated with the sinking support? (Figure 4).
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State the limitations of slope-deflection method.
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For the propped cantilever in Figure 5. Find the prop reaction at B by strain energy method.
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A beam ABC is fixed at A and simply supported at B and C. AB=BC=l, Flexural rigidities of AB and BC are 2EI and EI respectively. Find the distribution factors at joint B if no moment is to be transferred to support C shown in Figure 6.
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Three members meeting at a rigid joint carry moments 5 kNm (clockwise), 10 kNm (clockwise) and 9 kNm (counter clockwise) shown in Figure 7. What moment should be applied at the joint O for achieving equilibrium?
Answer
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Taking advantage of symmetry, find the final moment MBC in the beam in Figure 8.
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AB is cantilever of span l, fixed at A shown in Figure 9. What is the carry over factor from B to A?
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PART B
Three bars of equal length ‘l’ are jointed together at A and supported at B, C and D as shown in Figure 10. Find the axial forces induced in all bars due to a vertical load ‘P’ at A, if OB=OC=OD=l.
Answer
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Find the forces in various members of the cantilever truss shown in Figure 11.
Answer
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A steel truss of span 15 m is loaded as shown in Figure 12. The cross-sectional area of each member is such that is subjected to a stress of 100 N/mm2. Find the vertical deflection of the joint C. Take E=200 kN/ mm2.
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A symmetrical three hinged parabolic arch has a span of 15 m and central rise of 3 m. It is loaded with a uniformly distributed load of 2000 N/m extending from left hand hinge to the centre. Determine the B.M., S.F. and normal thrust at the left hand quarter span.
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Figure 13 shows a propped cantilever with overhang loaded with uniformly distributed load. Find the overhang length so that the deflection at free end is zero.
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Find the fixed end moments for the beam carrying uniformly varying load shown in Figure 14.
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Analyse the continuous beam ABCD shown in Figure 15, if support C sinks by 10 mm. Take E=2 × 105 N/ mm2 and I=4 × 107 mm4.
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Analyse the continuous beam show in Figure 16 by moment distribution method, if support yields by 9 mm. Take EI =1× 1012 N mm2 throughout. Draw bending moment diagram.
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A girder has a span of 400 m. Two concentrated loads of 18 MN and MN at a fixed distance of 5 m. roll along. (a) Find the value of maximum B.M. and S.F. at 10 m, 20 m and 30 m, from left hand end. (b) What static uniform load per metre run may be imposed on the girder to produce the same effect.
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Draw the influence line diagram for forces in the members U3 L4 U3 U4 and U3 L3 of the frame shown in Figure 17 and 6.10 and find the maximum forces developed, when uniformly distributed load of intensity 40 kN/m, longer than the span moves from left to right on bottom chord.
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