Moment Area theorem problem. please help

Submitted by Daranith on

I've been trying to solve the following question for 2 days now and i can't seem to be able to. can someone help me please ?

For the beam shown in Figure 3, the support at A is fully fixed. The beam is tapered however you may consider it to be a beam of 3 varying sections.

Take:
Beam A to B as having 3 times the I value of beam D to end, Beam B to D as having 1.5 times the I value of beam D to end and Beam D to end is 310 UB 46.2 with I = 100 x 106 mm4. Tip: this may be easier to solve using superposition.

Use moment area theorems to calculate the deflection at key points along the cantilever beam, viz. deflection at B, and end of cantilever. Draw the quantitative deflected shape.

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