Question
Asked Apr 22, 2019
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Develop the generalized piecewise equation for the elastic curve for the beam as a function of x referenced from A. Your equation should be in terms of P, x, and L. Take EI as a constant. NOTE: A is a pin support and B is a roller. Plot the deflected shape in excel for P = 10 kips, L = 15 ft, E = 29,000 ksi, and I = 150 in4. Plot using 0.5 ft. increments for x.
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Expert Answer

Step 1

 

We will have to develop a  generalized piecewise equation that should be in terms of P, x, and L for the elastic curve for the beam as a function of x referenced from A.

Following is the given information:

 A is a pin support and B is a roller. Plot the deflected shape in excel for P = 10 kips, L = 15 ft, E = 29,000 ksi, and I = 150 in4. Take EI as a constant.

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Step 2

Let’s draw the free body diagram of the given beam and that of the elements separately as follows:

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Step 3

Calculating the Sum of ...

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