Two aluminum bars (EAt=10.0 times 106psi, alpha A1=13.3 times 10-6 degree F1) an

Question

Two aluminum bars (EAt=10.0 times 106psi, alpha A1=13.3 times 10-6 degree F1) and a steel bar (E st= 28.5 times 106 psi, alpha St=6. 5 times 10-6 degree F-1 ) are attached to a rigid support at the left and a cross-bar at the right. The cross-sectional area of each bar is A=0.5in2 and L=10in. The normal stresses in the bars are initially zero. If the temperature is increased by DeltaT=100 degree F. What are resulting normal stresses in the three bars? The deformation of the cross-bar can be neglected

Explanation / Answer

other method

We have q*v*B = m*v^2/r

so q*B = m*v/r

So r = m*v/(q*B) but v = E/B (velocity selector)


So r = m*E/(q*B^2) = 3.21x10^-26*3800/(1.60x10^-19*(0.0300)^2... = ANSm

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