The simply supported beam of rectangular cross-section carries a distributed load of intensity...
Question:
The simply supported beam of rectangular cross-section carries a distributed load of intensity {eq}w_{o} {/eq} and a concentrated force P. Determine the largest allowable of P if the bending stress is not to exceed 10 MPa if: (a) {eq}w_{o}=3 kN/m; \ and\ (b) w_{o}=6 kN/m. {/eq}
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Bending Stress:
When a beam is supported on roller support at one end and hinged support at the other, then it is called as the simply supported beam. When we draw the shear force diagram and bending moment diagram, the bending moment will be maximum at the point where the shear force diagram changes sign (positive to negative or vice versa). The point where the bending moment diagram changes sign (positive to negative or vice versa) is known as the point of contraflexure.
Answer and Explanation: 1
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We're given the following information in the problem:
- Maximum bending stress, {eq}\sigma_b = 10\ \rm{MPa} = 10^7 \rm{Pa} {/eq}
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