Prob. 2.12-3. The normal stress on the rectangular cross

section ABCD in Fig. P2.12-3 varies linearly with respect to

B

My

A

(a)

с 0₂c-12 ksi

0₁4-12 ksi

P2.12-3

0-8 ksi

B

TA

4 in.

4 in.

A

(b)

D

position (y, z) in the cross section. That is, σ, has the form

a = a + by + cz. The values of o, at corners A, B, and Care:

A = 12 ksi, 0x8= 8 ksi, and a₂c = 12 ksi. (a) Determine the

value of op, the normal stress at corner D. (b) Determine

the axial force, F. (c) Determine the bending moment M,