A 50 mm diameter cylindrical aluminum block is connected to 2 hollowed cylindrical steel blocks as shown in Figure Q1. Both hollowed steel cylinders are of 60 mm and 40 mm outer and inner diameters respectively. The assembly is then connected to a rigid steel plate. Four bolts of diameter 10 mm are then used to rigidly fix the assembly to a wall. A force P is then applied to the assembly. The Modulus of elasticity(E) of steel is 200 GPa while aluminum has Modulus of elasticity(E) of 70 GPa. Both steel and aluminum have a yield strength(oy) of 250 MPa. The bolts have a yield stress (oy) of 800 MPa. All connections and joints are considered rigid. Q3 Determine the allowable value of P that can be applied to the assembly taking into consideration the yielding of all parts of the assembly and bolts. Use a factor of safety of 1.5. b. a. Based on the value of P obtained part (a), determine the total elongation of the cylindrical steel block. Based on the value of P obtained in part (a), determine the change in diameter of the cylindrical aluminum block (the Poisson's ratio for aluminum is 0.35). c. PL V = AE P Elat A Elong A! E = E = wal L. rigid plate wall 4 nos bolts steel 20cm PX alumínium 19cm 20cm

A 50 mm diameter cylindrical aluminum block is connected to 2 hollowed cylindrical steel blocks as shown in Figure Q1. Both hollowed steel cylinders are of 60 mm and 40 mm outer and inner diameters respectively. The assembly is then connected to a rigid steel plate. Four bolts of diameter 10 mm are then used to rigidly fix the assembly to a wall. A force P is then applied to the assembly. The Modulus of elasticity(E) of steel is 200 GPa while aluminum has Modulus of elasticity(E) of 70 GPa. Both steel and aluminum have a yield strength(oy) of 250 MPa. The bolts have a yield stress (oy) of 800 MPa. All connections and joints are considered rigid. Q3 Determine the allowable value of P that can be applied to the assembly taking into consideration the yielding of all parts of the assembly and bolts. Use a factor of safety of 1.5. b. a. Based on the value of P obtained part (a), determine the total elongation of the cylindrical steel block. Based on the value of P obtained in part (a), determine the change in diameter of the cylindrical aluminum block (the Poisson's ratio for aluminum is 0.35). c. PL V = AE P Elat A Elong A! E = E = wal L. rigid plate wall 4 nos bolts steel 20cm PX alumínium 19cm 20cm

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter1: Introduction

Section: Chapter Questions

Problem 1.5.6P: The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular...

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