Mechanics Question

Solve using Macaulay's method for beam theory.
A beam ABCDEF is uniformly supported at A and E.
It carries point loads of 100kN, 150kN and 80kN at B, D and F respectively and a uniformly distributed load of 40kN between C and E.
If AB = BC = 1m and, CD = DE = EF =2m and the flextural-stiffness of the beam is 1200 x 10³kNm²:
a. Calculate the deflection of the beam midway between the supports and at the overhanging end F.
b. Calculate the slope at the points A, E and F. (Comment).
Finally, sketch and annotate the slope and deflection diagrams for this beam.

• Teaser.jpg

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