Moment area diagram indeterminate

[aahas3]

Part B the indeterminate question.

Divided the question into 3 Parts
Moment due to UDL

M = 2x4x2 = 16 Kn

EItab = Marea . Xa = 0
16 x 4 x 1/3 x( 1/4 x 4) ( parabola)

Due to 5kn Load

Split it up to on rectangular and on triangular load as the 5kn load goes to 6 m and analysing for 4 m to b.

M = 5 x 6 = 30
30 = 6
x = 4 therefore x = 20

=4x20x2 + 4 x 10 x 1/2 x ( 1/3 x 4)
=


Due to redundant reaction By
M = By x 4 = 4by


= - by4 x 4 x 1/2 x (1/3 x 4)


This gives a By of 19.49 instead of 11.125 specified in the answer sheet if added together as deflection = 0

 

[SteamKing]

There seems to be a mismatch between your calculations and the attached diagram.