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Determine the deflection at c using the strain energy method

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Reference no: EM13836875

3-PINNED ARCH

Question:

Determine the normal force, shear force and bending moment at point D for the 3-pinned arch shown in Figure and subjected to uniformly distributed load of 50 kN/m between C and B. The arch is pinned at A, B and C and is parabolic in shape (y=ax2 with C is the origin).

1669_PINNED ARCH.png

STRAIN ENERGY METHOD

Question

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

A=1500mm2

E = 200 kN/mm2

1537_PINNED ARCH1.png

DOUBLE INTEGRATION METHOD (Macaulay)

Question

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

2311_Strain energy method.png

MOMENT AREA METHOD

Question 

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

816_Strain energy method1.png

SLOPE-DEFLECTION METHOD

Question 

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.

2410_Strain energy method3.png

MOMENT DISTRIBUTION

Question 

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.

313_Strain energy method2.png

Reference no: EM13836875

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