Q.1 STRAIN ENERGY METHOD
For the statically determinate truss shown in Figure below, determine the deflection at C using the strain energy method.
A=1500mm2 E = 200 kN/mm
Q.2 DOUBLE INTEGRATION METHOD (Macaulay)
Figure below shows a beam subjected to a distributed load which varies linearly in intensity (from zero at support A to 10kN/m at support B). There is no loading on the cantilever part BC.
- Using the double integration (Macaulay) method, derive an expression for the deflection equation along the span AB. Determine the deflection at C.
Q.3 MOMENT AREA METHOD
Using the moment area moment, determine the deflection at the free end C for the beam shown in Figure below.
Q.4 SLOPE-DEFLECTION METHOD
Use the slope-deflection method to calculate the support reactions and internal force diagrams of the portal frame shown in Figure below. Check the accuracy of the results of the computational model, and draw the bending moment and shear force digram after calculate them.
Q.5 MOMENT DISTRIBUTION
Figure below shows a continuous beam subjected to a uniformely distributed loads along the spans AB and CD. The support C settles by 4mm (vertically downwards).
- Determine the support moments using the moment distribution method.
- Plot the shear force and bending moment diagrams showing key values.
