A simply supported composite beam 3 m long carries a uniformly distributed load of intensity q 3.0 kN/m (see figure). The beam is constructed of a wood member, 100 mm wide by 150 mm deep, reinforced on its lower side by a steel plate 8 mm thick and 100 mm wide. (a) Find the maximum bending stresses sw and ss in the wood and steel, respectively, due to the uniform load if the moduli of elasticity are Ew 10 GPa for the wood and Es 210 GPa for the steel. (b) Find the required thickness of the steel plate so that the steel plate and wood reach their allowable stress values, sas 100 MPa and saw 8.5 MPa, simultaneously under the maximum moment.
A simply supported composite beam 3 m long carries a uniformly distributed load of intensity q 3.0 kN/m (see figure). The beam is constructed of a wood member, 100 mm wide by 150 mm deep, reinforced on its lower side by a steel plate 8 mm thick and 100 mm wide. (a) Find the maximum bending stresses sw and ss in the wood and steel, respectively, due to the uniform load if the moduli of elasticity are Ew 10 GPa for the wood and Es 210 GPa for the steel. (b) Find the required thickness of the steel plate so that the steel plate and wood reach their allowable stress values, sas 100 MPa and saw 8.5 MPa, simultaneously under the maximum moment.
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 6.2.14P: -14 A simply supported composite beam with a 3.6 m span supports a triangularly distributed load of...
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A simply supported composite beam 3 m long carries a uniformly distributed load of intensity q 3.0 kN/m (see figure). The beam is constructed of a wood member, 100 mm wide by 150 mm deep, reinforced on its lower side by a steel plate 8 mm thick and 100 mm wide. (a) Find the maximum bending stresses sw and ss in the wood and steel, respectively, due to the uniform load if the moduli of elasticity are Ew 10 GPa for the wood and Es 210 GPa for the steel. (b) Find the required thickness of the steel plate so that the steel plate and wood reach their allowable stress values, sas 100 MPa and saw 8.5 MPa, simultaneously under the maximum moment.
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