Strength of Materials Analysis and Calculations
In this material strength analysis, we are tasked with finding the largest axial load value that won't exceed the specified deformations and stresses on steel, bronze, and aluminum components. Additionally, we need to determine the vertical movement of a load applied to a rigid bar system. Utilizing given material properties and assumptions, we will perform the necessary calculations to solve these engineering problems.
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Sixth Strength of Materials
Example A bronze bar is fastened between a steel bar and an aluminum bar as shown in Fig. P-211. Axial loads are applied at the positions indicated. Find the largest value of P that will not exceed an overall deformation of 3.0 mm, or the following stresses: 140 MPa in the steel, 120 MPa in the bronze, and 80 MPa in the aluminum. Assume that the assembly is suitably braced to prevent buckling. Use Est = 200 GPa, Eal = 70 GPa, and Ebr = 83 GPa.
The rigid bar AB, attached to two vertical rods as shown in Fig. P-213, is horizontal before the load P is applied. Determine the vertical movement of P if its magnitude is 50 kN.