JNTU
JNTU B.Tech II STRUCTURAL ANALYSIS I Previous Question Paper (December - 2017 - R15)
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.
Part A
What is the total degree of static indeterminacy of the truss shown in Figure 1.
Answer
The total 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 external reactions, and j is the number of joints.
State Castigliano's First Theorem.
Answer
Castigliano's First Theorem states that for a linearly elastic structure, the partial derivative of the total strain energy with respect to any specific displacement component is equal to the force applied at that point in the direction of the displacement.
A three hinged parabolic arch hinged at the crown and springing has a horizontal span of 12 m and a central rise of 2.5 m. It carries a udl of 30 kN/m run over the left hand half of the span. Calculate the reactions at the end hinges.
Answer
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Write the fixed end moments for a beam carrying a central clockwise moment for a span of L.
Answer
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Why is slope-deflection method called a 'displacement method'?
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Find the deflection at the free end of a cantilever beam of span L carrying a point load of W at the free end by strain energy method shown in Figure 2.
Answer
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In a member AB, if a moment of -10 kNm is applied at A, what is the moment carried over to B?
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Explain 'carry over factor'.
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A beam fixed at its left end simply supported at right. The right end sinks to a lower level by a distance Δ with respect to the left end. Find the magnitude and direction of the reaction at the right end if l is the beam length and EI, the flexural rigidity.(Figure 3)
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AB is a cantilever of span l, fixed at A. What is the carry over factor from B to A? (Figure 4).
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Part B
Determine the forces in all the members of truss shown in Figure 5.
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Determine forces in all the members of the truss shown in Figure 6.
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Determine the vertical deflection of point D in the truss shown in Figure 7. The cross-sectional areas of members AD and DE are 1500 mm2 while those of the members are 1000mm2. Take E=200 kN/ mm2.
Answer
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A three-hinged symmetric circular arch has a span of 36 m and a rise of 6 m. Determine the bending moment, normal thrust and radial shear at 9 m from the left support, if the arch is subjected to a uniformly distributed load of intensity 30 kN /m over left half-portion and a concentrated load of 60 kN at 27 m from the left springing.
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For the propped cantilever shown in Figure 8, find the support reaction and plot the B.M. diagram.
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Find the fixed end moments and plot the B.M. diagram for the beam loaded as shown in Figure 9.
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Analyse the continuous beam ABCD shown in Figure 10 by slope deflection method and draw bending moment diagram.
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Analyse the continuous beam shown in Figure 11 by moment distribution method, if support B sinks by 12 mm. given E=200 kN/ mm2 and I=20 × 106 mm4.
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Two point loads of 6000 N and 3000 N spaced 4 m apart cross a girder of 10 m span from left to right, with smaller load leading. Construct the max. S.F. and B.M. diagrams. Find the position and amount of absolute maximum bending moment.
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Determine the maximum bending moment which can occur when a train of loads of 4,000 N. 4,000 N, spaced 3 m apart cross a grider of 15 m span, the smaller load leading from left to right. Construct the maximum S.F. and B.M. diagrams, stating the position and amount of absolute maximum bending moment.
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