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Dell
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given an aluminium sleeve with a steel beam inside as seeen in the diagram below
knowing that the length of the steel beam is 5mm longer than the sleeve and that a rigid plate is connected to the end of the steel beam,
find the change in temperature needed to be able to connect the sleeve to the plate?
i base my answer on the assumption that when T=Tf
LAl=LSt
LAl=Lo(ΔT*αAl+1)
LSt=(Lo + 0.005)(ΔT*αSt+1)after comparing i find that my expression for ΔT is dependant on Lo, but Lo, the original length of the sleeve, was not given in the question
is there any way to solve this without knowing Lo?? is there a way i can find Lo?
knowing that the length of the steel beam is 5mm longer than the sleeve and that a rigid plate is connected to the end of the steel beam,
find the change in temperature needed to be able to connect the sleeve to the plate?
i base my answer on the assumption that when T=Tf
LAl=LSt
LAl=Lo(ΔT*αAl+1)
LSt=(Lo + 0.005)(ΔT*αSt+1)after comparing i find that my expression for ΔT is dependant on Lo, but Lo, the original length of the sleeve, was not given in the question
is there any way to solve this without knowing Lo?? is there a way i can find Lo?
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