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influence line

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Consider the given continuous beam above and a) Use Müller Breslau Principle and draw the influence line of the shear at point E. Calculate the ordinates at the points A, B, C, D, E and F.
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Answer #1

Solution...

Muller breslau principle...

As per this principle to draw the influence line diagram (ILD) of any stress function, first we remove that stress function and the apply unit deflection in the positive direction and the deflected shape give the ILD of that stress function.

ILD of shear force at E.

As we want ILD for share force at E, so we remove shear at E and use an guided roller after that we apply an unit deflection at E as shown.

Deflected shape...

A B С D. E F oto do Deflected shape---

Support compatibility condition should be maintained and we obtained the following ILD....

A B D E F 0.5 unit 0.5 unit 0 unit unit -0.5 unit

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