A steel bolt of 20mm diameter passes centrally through a copper tube of internal diameter 25mm and thickness 10mm. The tube is 600mm long and is closed by rigid washers of negligible thickness

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written 9.4 years ago by

teamques10 ★ 70k

modified 3.8 years ago by

sagarkolekar ★ 11k

and fastened by nuts threaded on the bolt. Find the stresses in the bolt and tube when one of the nuts is tightened by one quarter of a turn, -
relative to the other.The pitch of the thread is 2mm. Take $E_s$ = 200GPa and $E_c$ = 100GPa. - enter image description here

strength of materials

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Thank you so much for solving this but in copper tubing, the value of area is typed wrong ---- 10099.56 ----

9.1 years ago by teamques10 ★ 70k

1 Answer

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written 9.4 years ago by

teamques10 ★ 70k

• modified 9.4 years ago

The steel bolt is under tension and the copper tubing under compression.

The nut is fastened by one quarter of a turn.

Allowed Deformation = $\frac{Pithch of Nut}{4}$

Allowed Deformation = $\frac{2}{4} = 0.5mm$

The elongation for the bolt and the tube is the same.

$\dbinom{PI}{AE}_{bolt} = \dbinom{PI}{AE}_{tubing} = 0.5mm …

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