Question

A compound shaft consists of segment (1), which has a diameter of 1.95 in, and segment (2), which has a diameter of 1.40 in. The shaft is subjected to an axial compression load of P = 11 kips and torques T8 = 22 kip-in. and TC = 9 kip-in., which act in the directions shown in the figure. Tc (2) H (1) Determine the stresses acting at points Hand K on the surface of the shaft. Section Properties Shaft (1) Shaft (2) Area = 2.986 in. 1.539 Polar moment of 1.42 in. 0.377 inertia = Stresses (Include the proper sign with your answer.) Axial stress Point H (ksi) Point K (ksi) -3.684 -7.147 Torsion stress - Opi" i Op2" i Tmax

Answer 1

Loading at point H Totique, TH = -9+ 22 = 13 kip.in Axial Load, Pu - - P = - \ \ kips. Loading at point k. Torqee, Tko -q kipain. At point H Axial stres, PH A २.१86 = -3.686 ksi shear stres, THE THC (13)(1-95) THE .8-926 kai

Find the principal stres at it 2 P1, P2 = try On-nyit. Ta |-3-684-0)+(-8.927 = -3.GRUPO + 2 7.272 ksi pi -106956 Ger kei the marinum shear stres Iman POB =/ Tayyy = 70272-(-10.956) Tmana 90114 kei

K At point Axial stress Pk Az - 11 -7.14 msi OK 1.539 Torsional shear strees Txa Tk-C2 (6).(4) Ja 0.377 = 16 lies lcsi FC K = 16071 ksi

Find the principal stress opy, 12 ont Gy sx-ryft Tag 2 -7.147 to +167-691-0) 116.77 2 o p = 130514 kei 882 - 20.661 ksi Find the maxinan shear stresi Tmax= °e — “, 2 13.514 - (-20.66) 2 Tman = 19.087 ksi

I have provided conceptually correct answer.

If you have any doubts please ask me.

Please provide positive rating and thank you .