SITUATION 1: The assembly shown is composed of a rigid plank ABC, supported by hinge at A, spring at B and cable at C. The cable is attached to a frictionless pulley at D and rigidly supported at E. The cable is made of steel with E = 200,000 MPa and cross-sectional area of 500 mm². The details of pulley at D is shown. The pulley is supported by a pin, passing though the pulley and attached to both cheeks. Note that E is directly above B. Given: H = 3 m; L1 = 2 m; L2 = 4 m; w = 12 kN/m; x:y = 3:4 Spring Parameters: Wire diameter = 30 mm Mean Radius = 90 mm Number of turns = 12 Modulus of Rigidity = 80 GPa Allowable stresses: Allowable shear stress of Pin at D = 85 MPa Allowable normal stress of cheek at D = 90 MPa Allowable bearing stress of cheek at D = 110 MPa 1. Calculate the reaction of spring B and tension in cable at C. 2. Calculate the vertical displacement at C. 3. Calculate the required diameter of pin at D. A T H B ELEVATION VIEW Cheek يا ----- Critical section Pulley Cheek 3wa Pin- Cable PULLEY CROSS-SECTION 4. Calculate the required thickness of cheeks, based on the given critical section if cheek width W = 100 mm. ANSWERS: B = 0.230 kN, Tc = 86.57 KN; 5.95 mm; 24.08 mm; 14.62 mm PULLEY SIDE VIEW

SITUATION 1: The assembly shown is composed of a rigid plank ABC, supported by hinge at A, spring at B and cable at C. The cable is attached to a frictionless pulley at D and rigidly supported at E. The cable is made of steel with E = 200,000 MPa and cross-sectional area of 500 mm². The details of pulley at D is shown. The pulley is supported by a pin, passing though the pulley and attached to both cheeks. Note that E is directly above B. Given: H = 3 m; L1 = 2 m; L2 = 4 m; w = 12 kN/m; x:y = 3:4 Spring Parameters: Wire diameter = 30 mm Mean Radius = 90 mm Number of turns = 12 Modulus of Rigidity = 80 GPa Allowable stresses: Allowable shear stress of Pin at D = 85 MPa Allowable normal stress of cheek at D = 90 MPa Allowable bearing stress of cheek at D = 110 MPa 1. Calculate the reaction of spring B and tension in cable at C. 2. Calculate the vertical displacement at C. 3. Calculate the required diameter of pin at D. A T H B ELEVATION VIEW Cheek يا ----- Critical section Pulley Cheek 3wa Pin- Cable PULLEY CROSS-SECTION 4. Calculate the required thickness of cheeks, based on the given critical section if cheek width W = 100 mm. ANSWERS: B = 0.230 kN, Tc = 86.57 KN; 5.95 mm; 24.08 mm; 14.62 mm PULLEY SIDE VIEW

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.3.27P: A 150-lb rigid bar AB. with friction less rollers al each end. is held in the position shown in the...

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