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The steel pipe shown has an outside diameter of $210$ mm $,$ a wall thickness of $16$ mm $,$ an elastic modulus of $E=200$GPa, and a

coefficient of thermal expansion of $a=11\mathrm{.}7\frac{{10}^{-6}}{}C.$ Using $a=325mm,b=800mm,$ and $=75,$ calculate the normal strains at $H$ and

$K$ after a load of $P=40kN$ has been applied and the temperature of the pipe has been increased by $40C.$

Answers:

${}_H=$

$$

${}_K=$

$$

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