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A bar of cross section A is subjected to...

A bar of cross section A is subjected to equal and opposite tensile forces F at its ends. Consider a plane through the bar making an angle `theta` with a plane at right angles to the bar as shown in figure.

The tensile stress at this plane in terms of F, A and `theta` is

A

What is the tensile stress at this plane in terms of `F, A` and `theta` ?

B

What is the sherating stress at the plane, in terms of `F, A` and `theta` ?

C

For what value of `theta` is the tensile stress a maximum ?

D

For what valule of `theta` is shearing stress a maximum?

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
(a) tensile stress `= (Fcostheta)/(A//costheta) = (Fcos^(2)theta)/(A)`
(b) shearing stress `= (Fsintheta)/(A//costheta) = (F)/(A) sinthetacostheta`
for max. tensile stress
`theta = 0^(@)`
(d) for max. shering stress
`theta = 45^(@)`
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