An aluminum alloy [E = 8500 ksi] pipe with a cross-sectional area of A1 = 3.21 i

Question

An aluminum alloy [E = 8500 ksi] pipe with a cross-sectional area of A1 = 3.21 in.2 is connected at flange B to a steel [E = 30500 ksi] pipe with a cross- sectional area of A2 = 2.17 in.2. The assembly is connected to rigid supports at ,A and C. For the loading shown, determine: the normal stresses in aluminum pipe (1) and steel pipe (2) ( sigma 1 sigma 2 use positive if tensile, negative if compressive).the deflection uB (use positive if it moves to the right and negative if it moves to the left) of flange B.

Explanation / Answer

F1 = 90kips/( 1+(L1/L2)(A2/A1)(E2/E1))

     = 90kips/( 1+(128/202)(2.17/3.21)(30500/8500) = 35.474 kips

and frm equation a F2 =F1-90kips = -54.53 kips

normal tress =

                   = 35.474/3.21 = 11.05 ksi

    = -54.53/2.17 = - 25.13 ksi

     = (35.474 * 128)/(3.21 * 8500) = 0.1664 in

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