Structural analysis-II — Winter 2021

Define (a) Distribution Factor (b) Carry over moment (c ) Influence line

Explain (a) Castigliano’s first Theorem (b) Flexibility

Derive Slope Deflection Equation using fundamentals with usual notations.

Explain Muller Breslau principle with appropriate sketches.

Write Characteristics of stiffness matrix.

Using Castigliano’s first theorem calculate deflection at free end of cantilever beam shown in Figure.1. Take E =2 x 105 N/mm2 and size of beam as 230x300 mm

Determine Reaction Rand Rfor the propped cantilever beam shown in the A B Figure. 2 using Castigliano’s second theorem.

Write Slope deflection Equation for the beam shown in figure 3.

Analyze the beam shown in figure 3 using slope deflection method and draw bending moment diagram only.

Analyze the frame shown in the figure 4 using slope deflection method and draw bending moment diagram only.

Differentiate between stiffness and flexibility method

Discuss causes of sidesway in analysis of frame.

Analyze the beam shown in the figure 3 using moment distribution method and draw bending moment diagram.

Four loads of 30 KN, 40 KN, 30 KN and 20 KN are applied on 9 m mt long beam as shown in figure 5. Draw influence line for shear force at point C located at 5 m from left. Also find maximum positive and negative shear force at point Cfor given loading.

Draw influence line for bending moment at point Cfor the beam shown in figure 5 and find maximum bending moment at Cfor given loading on beam.

Four loads of 20 KN,15 KN,17 KN and 15 KN as shown in Figure 6 are passing from left to right on simply supported beam of span 22 mt with 15 KN load as leading load. Calculate max S.F. and B.M. at point Clocated at 10 mt from left end.

Draw influence line for 4 m long beam for reaction at B (R ) as shown in figure B 7. Calculate ordinates at 1 mt. interval.

Draw influence line for reaction at B (R ) for the 14 mt long two-span beam B shown in figure 8. Calulate ordinate at 2 mt interval.

Find flexibility matrix only for the beam shown in figure 9 considering Mand A Mas redundant. B1

Analyze the beam shown in figure 3 by matrix method and draw bending moment diagram only.

Write assumptions made is cantilever method of approximate analysis.

Draw only Qualitative influence line diagram for following functions of 2 span continuous beam having support reaction R , Rand R The point Dis located A B C. at center of right span BC

Influence line for R C

Influence line for R A

Influence line for shear at D