Determine the largest load P that can be a applied to the frame without causing either the average normal stress or the average shear stress at section a-a to exceed σ = 160 MPa and τ = 60 MPa , respectively. Member CB has a square cross section of 26 mm on each side.

(The diagram of the question is given in Attachment 1)

The largest load which can be applied is:

P=67.62 kN

Explanation:

All the forces are shown in the diagram in Attachment 2.

∑ F(y)= 0 (Upwards is positive)

∑ F(x)= 0 (Towards Right is positive)

∑ F(y)= 0 (Upwards is positive)

The cross sectional area of a-a:

σ = N(a-a)/A(a-a)

Substitute values:

Т= V(a-a)/A(a-a)

Substitute values:

To satisfy both the condition, we have to choose the lower value of P.

P=67.62 kN

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