L. Ductile Material
Assume that both bars are made of AISI No. 1030 Heat Treated Steel with Q&T (Quench & Tempered), heated and cooled to strengthen the materials at 800°F. Find the value of the force F that is required to initiate yielding.
Case A: P = 0 (Example 5-3)
Case B: P = 200 lb (Investigate the point at the tension side of the beam)
Case C: P = -200 lb (Investigate the point at the compression side of the beam)
II. Brittle Material
Assume that both bars are made of ASTM grade 25 cast iron. Find the force F with Modified Mohr failure model.
Case A: P = 0 (Example 5-5)
Case B: P = 200 lb
Case C: P = -200 lb
Homework 2: This problem is modified from Problem 5:36. Refer to Example 5.4 as well. The problem figure is given below.
Problem 3.1: Find the deflection vector at the free end of the cantilever beam, including the deflection along the x and z-axes and rotation with respect to the x-axis due to torsion T. The forces are given by F = 0.55 kN, P = 4.0 kN, and T = 25 N-m. No need to work on deflection assignment for HW3.
Problem 3.2: The material is a ductile material, AISI 1006 cold-drawn steel. Compute factors of safety based upon the distortion energy theory (i.e., based upon the von Mises stress) for stress elements at Point A only of the member shown in the figure. The forces are given by F = 0.55 kN, P = 4.0 kN, and T = 25 N-m.
Problem 3.3: The material is a brittle material, ASTM grade 25 cast iron. Compute factors of safety based upon the distortion energy theory (i.e., based upon the von Mises stress) for stress elements at Point A only of the member shown in the figure. The forces are given by F = -0.55 kN, P = -4.0 kN, and T = 25 N-m.