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](https://secure.expertsmind.com/CMSImages/1669_PINNED%20ARCH.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](https://secure.expertsmind.com/CMSImages/1537_PINNED%20ARCH1.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](https://secure.expertsmind.com/CMSImages/2311_Strain%20energy%20method.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](https://secure.expertsmind.com/CMSImages/816_Strain%20energy%20method1.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](https://secure.expertsmind.com/CMSImages/2410_Strain%20energy%20method3.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](https://secure.expertsmind.com/CMSImages/313_Strain%20energy%20method2.png)