Question: A continuous beam ABCD covers three spans, A B = 1 . 5 L , B C = 3 L and C D = L

A continuous beam ABCD covers three spans,

A B = 1.5 L, B C = 3 L

and

C D = L

as shown in figure. It carries uniformly distributed loads of

2 W, W

and

3

W per metre run on

A B, B C

and CD respectively. If the beam is of the same cross

-

section throughout, find the bending moments at supports B and C and the reactions on each support. Also plot bending moment and shear force diagrams.

A continuous beam ABCD covers three spans, A B =

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