Problem 4: Constrained Modulus A mounting block made of butyl rubber of modulus = 0.0015 GPa is designed to cushion a sensitive device against shock loading. It consists of a cube of the rubber of side length L = 40 mm located in a slot in a rigid plate, exactly as shown in the figure below. The slot and cube have the same cross-sectional dimensions, and the surrounding material is much stiffer, so the strain in one direction is constrained to be zero. A vertical compressive load F is applied, and the downward deflection of the top of the block is d. The maximum expected value of F is 50 N. Find the stiffness of the cube (F/d) in this constrained condition, assuming v = 0.5. Hence find the maximum deflection d of the top face of the block. What would this deflection be without any constraint?

Problem 4: Constrained Modulus A mounting block made of butyl rubber of modulus = 0.0015 GPa is designed to cushion a sensitive device against shock loading. It consists of a cube of the rubber of side length L = 40 mm located in a slot in a rigid plate, exactly as shown in the figure below. The slot and cube have the same cross-sectional dimensions, and the surrounding material is much stiffer, so the strain in one direction is constrained to be zero. A vertical compressive load F is applied, and the downward deflection of the top of the block is d. The maximum expected value of F is 50 N. Find the stiffness of the cube (F/d) in this constrained condition, assuming v = 0.5. Hence find the maximum deflection d of the top face of the block. What would this deflection be without any constraint?

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.6.7P: A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The...

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