1. A rod of length 1.50 m and diameter 0.12 m is mounted in a rigid wall A vertical bar of length 0.5 m is attached to the free end from the centroid of the rod. The rigid bar is loaded with a horizontal force of P= 50 kN at its free end. A torque T = -8 kN.m is also applied to the free end, as shown in Fig. 1. An axial test of the material of the rod shows that it has the following mechanical properties: E-210 GPa, o, - 280 MPa, and v=- (The origin of the coordinate system is at the wall). (a) Draw a free-body diagram of the structure in Fig. 1. (b) Use strength of materials to compute the stress components, and then (c) Write the stress tensor, as a matrix at a point on the bottom of the rod. (d) Determine the principal stresses at the same point as in (c). (e) Determine () the strain energy density (U.) of the rod; and () the total strain energy U stored in the rod requires vohume of the rod). (f) Determine the factor of safety if the rod is not to fail according to the maximum distortion energy criterion (von

1. A rod of length 1.50 m and diameter 0.12 m is mounted in a rigid wall A vertical bar of length 0.5 m is attached to the free end from the centroid of the rod. The rigid bar is loaded with a horizontal force of P= 50 kN at its free end. A torque T = -8 kN.m is also applied to the free end, as shown in Fig. 1. An axial test of the material of the rod shows that it has the following mechanical properties: E-210 GPa, o, - 280 MPa, and v=- (The origin of the coordinate system is at the wall). (a) Draw a free-body diagram of the structure in Fig. 1. (b) Use strength of materials to compute the stress components, and then (c) Write the stress tensor, as a matrix at a point on the bottom of the rod. (d) Determine the principal stresses at the same point as in (c). (e) Determine () the strain energy density (U.) of the rod; and () the total strain energy U stored in the rod requires vohume of the rod). (f) Determine the factor of safety if the rod is not to fail according to the maximum distortion energy criterion (von

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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