Question

Asked Oct 13, 2019

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The simply supported wooden beam has a pin at A and a roller at B. A triangular distributed load starting at 0 kips/ft at point A and increasing to 0.8 kips/ft at point B, 9 feet from the end of the beam, is applied to the beam as shown. Also, a 15 kip point load is applied to the beam at point C at the far right end of the beam, 18 feet from point A. The beam cross section measures 6 inches in width, and 12 inches in depth as shown. The modulus of elasticity for the wood is 1600 ksi. Let x=0 at point A and increase to the right (positive to the right).Given the above information and using the double integration method, find:

- Slope at point A
- Slope at point C at the far right end of the beam
- Deflection at point C, at the far right end of the beam

Step 1

Consider the cantilever beam as *ABC*.

Sketch the Free Body Diagram as shown below.

Step 2

Refer to Figure.

Use equilibrium equations:

Step 3

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