Question

Asked Apr 12, 2019

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The W 10X15 cantilevered beam is made of A-36 steel and is subjected to the loading shown. Determine the slope and displacement at B.

Step 1

To find deflection:

Remove all external loads and apply a unit vertical load at the point *B*. Consider a section at a distance *x*-*x* from point *B* to find the moment *m*.

To find slope:

Remove all external loads and apply a unit couple moment at the point *B*. Consider a section at a distance *x*-*x* from point *B* to find the moment *m*.

The moment *M* is calculated for the given loading.

Step 2

Sketch the ream beam, virtual beam with unit load and couple moment as shown in Figure.

Step 3

Find the deflection at end *B* as shown below:

Find the moment *M* due to real load as follows:

Refer Figure.

For real beam, conside...

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