Consider the beam problem shown below. The beam is made of aluminum (2014 Alloy) with a modulus of elasticity E = 1.06x107 psi and Poisson's ratio of 0.33. At the current design, the beam length is 15 in. and the cross-section's width and height are 1.5 in. The load is P = 1000 lbf acting at the tip of the beam as shown. Design variables (I,w,h) are varied three times. For example, the width design variable is changed from its lower bound of 0.5 to 1.0 in., then to its upper bound of 1.5 in. Similarly, three changes take place for the height and length design variables, respectively. These changes in design variables are combined to create 27 (3 x 3 x 3) scenarios. The design goal is to optimize the beam design for a "minimum volume" subject to Displacement <0.1 in. and stress <65 psi by varying its length as well as the width and height of the cross-section. Using Solidworks, setup the design study to calculate the optimum values for I, w, and h?

Consider the beam problem shown below. The beam is made of aluminum (2014 Alloy) with a modulus of elasticity E = 1.06x107 psi and Poisson's ratio of 0.33. At the current design, the beam length is 15 in. and the cross-section's width and height are 1.5 in. The load is P = 1000 lbf acting at the tip of the beam as shown. Design variables (I,w,h) are varied three times. For example, the width design variable is changed from its lower bound of 0.5 to 1.0 in., then to its upper bound of 1.5 in. Similarly, three changes take place for the height and length design variables, respectively. These changes in design variables are combined to create 27 (3 x 3 x 3) scenarios. The design goal is to optimize the beam design for a "minimum volume" subject to Displacement <0.1 in. and stress <65 psi by varying its length as well as the width and height of the cross-section. Using Solidworks, setup the design study to calculate the optimum values for I, w, and h?

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.6.13P: A two-axle carriage that is part of an over head traveling crane in a testing laboratory moves...

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