Ridif bar ABC is supported with a pin at A and an elastic steel rod at C. The elastic rod has a diameter of 25mm and modulus of elasticity E = 200 GPA. The bar is subjected to a uniform load q on span AC and a pointload at B.

Calculate the change in length of the elastic rod.

What is the vertical displacement at point B?

the change in length of the elastic rod is 0.147 mm and the vertical displacement of the point b is 0.1911 mm.

Explanation:

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Part a

Take moments at point A to calculate the tensile force on the steel

rod at point C

Calculate the change in length of the elastic rod

So the change in length of the elastic rod is 0.147 mm.

As by the relation of the similar angles the vertical displacement of the point B is given as

Here AC=2.5 m

BC=0.75 m

Δl=0.147 mm so the value is as

So the vertical displacement of the point b is 0.1911 mm.

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