# ha8b - graphite/epoxy has a longitudinal modulus of 22.0...

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16.20 Due: Lecture 39 HOME ASSIGNMENT #8 (Part B) Warm-Up Exercises 1. - 7. in Part A Practice Problems 8. A nine-foot long simply-supported beam has an unsymmetric cross-section as shown below. A 220-pound person walks across the beam (assume the weight is applied through the shear center of the beam). The beam is made of steel with a modulus of 30 Msi and a Poisson’s ratio of 0.3. CROSS-SECTION z 2 in 0.2 in 1.5 in 0.1 in x z 9 ft y Determine: (a) the point x along the beam where the person causes the maximum total deflection and the magnitude of that deflection (divide into y- and z- components). (b) the maximum stress, σ xx , in the beam for this condition and its location.

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16.20 Home Assignment #8b Page 2 Fall, 2002 Application Tasks 9. A new consumer product is made of several alternating layers of 0.10 inch thick unidirectional (0°) graphite/epoxy and 0.40 inch thick styrofoam. The
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Unformatted text preview: graphite/epoxy has a longitudinal modulus of 22.0 Msi, a transverse modulus of 3.5 Msi, a (transverse) shear modulus of 0.80 Msi, and a major Poisson’s ratio of 0.28. The (isotropic) styrofoam has a modulus of 0.50 Msi, and a major Poisson’s ratio of 0.35. The application is cantilevered and has a length of 5 feet and width of 10 inches. The loading is a tip load of up to 400 pounds (including a dynamic load factor). CROSS-SECTION (not to scale) z y 10” 400 lb z x 5 ft 0.40” thick foam 0.40” thick foam = 0.10” thick unidirectional graphite/epoxy Find: (a) the maximum stress, σ xx , in the beam and its location. (b) the through-thickness distribution of the shear stress, σ xz , and its maximum value and location (plot it). (c) the maximum deflection (and divide this into bending and shearing components)....
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ha8b - graphite/epoxy has a longitudinal modulus of 22.0...

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