Determine the support moments using the moment distribution

Question

Question 1:  STRAIN ENERGY METHOD

For the statically determinate truss shown in Figure, determine the deflection at C using the strain energy method.

A=1500mm²

E = 200 kN/mm²

Question 2: DOUBLE INTEGRATION METHOD (Macaulay)

Figure Q 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

Question 3: MOMENT AREA METHOD

Using the moment area moment, determine the deflection at the free end C for the beam shown in Figure.

Question 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.

Check the accuracy of the results of the computational model.

Question 5: MOMENT DISTRIBUTION

Figure 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.