Answer Happy

any assumptions you think are necessary. Show all units in answers. It is recommended to underline or draw a box around each answer. Q1: A force T of 2.2 kN is applied to the cable at D. The cable force holds the weight of the Pole which has a pin connection at its end A. The cable is connected at C.. a) Draw a free body diagram of the pole BCA for the state of equilibrium. b) Calculate the magnitude of the force at A. c) Calculate the diameter of the pin at A based for an allowable shear stress of 50 MPa. B Pole 1.0 m Cable 30° Pulley 5.0 m a 4.0 m (a) ACB Pin Pin support plates (b)
Formula and Materials sheet: Factor of Safety = U.T.S./6 O=P/AG = E€ o = Mc/ 8=PL/(AE) 8= a *L* AT t = Tc/) T = P/A T = GY 0 = TL/(JG) 8 = PL/(AE) Pr = $y*c/ J = 3.14*c/2 (Solid Bar) J = 3.14* (c29-C1")/2 (Hollow Bar) 1 = bh?/12 (Rectangle) 1-3.14*r*/4 (Circle) 1x = le+Ad? ΥΣΑ = ΣΥΑ Power=Force*Velocity=Work/time Key: o=Stress, t=Shear Stress, P=Force, A=Area, M=Moment, I=Moment of Inertia, E=Young's Modulus, E=strain T-Torque, Ty=Elastic Torque, J=Polar Moment of Inertia, G=Modulus of Rigidity, y=Shear Strain, =Angle of Twist, L=Length, 8=deformation, b=breadth, h-height, d, y, Y, C=distance or radius, pr-radius of elastic core, a=coefficient of expansion, U.T.S.= Ultimate Tensile Strength Material Youngs Modulus (GPa) 200 Yield Stress (MPa) Ultimate Tensile Strength (MPa) Modulus Coefficient of Rigidity of Expansion (GPa) (10*/C) 200 12 Steel Aluminium 70 30 23 250 (Normal) 150 (Shear) 95 (Normal) 55 (Shear) 220 (Normal) 150 (Shear) 12 400 (Normal and Shear) 110 (Normal) 70 (Shear) 70 (Normal and Shear) Copper 120 40 17 Concrete 25