4. (7 points) Given: An 8 foot long 2"x4" wood compression member in a truss. Use the actual dimensions of 1.5" x 3.5". Assume that the end conditions are ideal pins. The modulus of elasticity of the wood is E=1.6x10°psi. The compressive strength of the wood is 5,400 psi. -F Euler buckling stress = Euler buckling load = II²E (L/r)² II²EA (L/r)² radius of gyration=₁ I= bh³ 12 1.5in c. The Euler buckling load d. The ratio of the buckling load to the compressi Find: a. The maximum load if the member could fail in pure compression without any buckling. b. The slenderness ratio of the member 3.5in strength if buckling is prevented

4. (7 points) Given: An 8 foot long 2"x4" wood compression member in a truss. Use the actual dimensions of 1.5" x 3.5". Assume that the end conditions are ideal pins. The modulus of elasticity of the wood is E=1.6x10°psi. The compressive strength of the wood is 5,400 psi. -F Euler buckling stress = Euler buckling load = II²E (L/r)² II²EA (L/r)² radius of gyration=₁ I= bh³ 12 1.5in c. The Euler buckling load d. The ratio of the buckling load to the compressi Find: a. The maximum load if the member could fail in pure compression without any buckling. b. The slenderness ratio of the member 3.5in strength if buckling is prevented

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.4.9P: A wood beam AB with a rectangular cross section (4 in. × 6 in.) serving as a roof purlin is simply...

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