FORMULAS

Emax = VƒEƒ + (1 - V₁) Em

gel

1

[r+rs(f-2)]¹/2/nQ4

The L-shaped beam of Figure Q5 is subjected to an out-of-plane load F.

(a) Show the free-body diagrams for the two segments AB and BC. Comment on the mo-

ments and forces transmitted in each segment.

(5 marks)

(b) Provide expressions for the moments and torques transmitted in segments AB and BC.

(3 marks)

(c) Determine the strain energy U stored in the L-shaped beam.

(3 marks)

(d) Use Castigliano's second theorem to find the displacement uc of the end in the direction

of the force.

(9 marks)

Y

Fixed end

Ac

FL

C

Figure Q5

L

B