Question

Bar B of the pin connected system is made of aluminum alloy (E=105 GPa, A=1200 mm^2) and bar A is made of a hardened carbon steel (E=210 GPa, A=1200 mm^2). Bar CDE is rigid. When the system is unloaded, Bars A and B are unstressed.

Determine:

a) The Normal Stress in bars A and B. (5pts)

b) The Shearing Stress in the 20-mm diameter pin E which is in double shear. (5pts)

c) If the yield stress of the material of the pin at E is 300 MPa, what is the factor of safety of the pin given the applied stresses? (3pts)

d) The vertical component of displacement of Pin E. (2 pts)

300 mm MUL p= 1

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Answer #1

Aluminen EA loSGPa AAL= 1200 mm LAI=500mm Est = 210Gpq Ast = 1200 mm Lst = 250mm P= 100KN from FBD ( aquelobosum): 800mm Stee[FA = 128 FB = 6.75 12P (Fo= qb & Normal Shesses Nosmal stress in bara, SA 12P 13 Ast TA= 12 x 100Xlo 13x1200 nimmt 15A = 76TE= 8X100X1000, 13 XTX (2012 N/mm2 TE=48.971 mpa @ Oy = 300 mpa TESOS factor of safety of pin E (FSE 6.126 a potical displa

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