Please show work. A-36 steel: Density = 7.85 Mg/m^3 Modulus of Elasticity (E) =

Question

                    Please show work.

A-36 steel:                 

                    Density = 7.85 Mg/m^3                 

                    Modulus of Elasticity (E) = 200 GPa                 

                    Modulus of Rigidity (G) = 75 GPa                 

                    Yield Strength = 250 tension, 250 compression (MPa)                 

                    Ultimate Strength = 400 tension, 400 compression (MPa)                 

                    Poisson's Ratio = 0.32                 

                    Coef. of Therm. Expansion = .000012/degrees Celsius.

When the two forces are placed on the beam, the diameter of the A-36 steel rod BC decreases from 40mm to 39.99mm. Determine the magnitude of each force P.

Explanation / Answer

take the torque about b and c

take Bx and By forces along x and y direction at B and similarly ay C

we get constarints by torque and and also due to total force we get equation then we can solve

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