Engineering

Mechanical EngineeringMechanics of Materials (MindTap Course List)A beam of length L is designed to support a uniform load of intensity q (see figure). If the supports of the beam are placed at the ends, creating a simple beam, the maximum bending moment in the beam is qL 2 /8. However, if the supports of the beam are moved symmetrically toward the middle of the beam (as shown), the maximum bending moment is reduced. Determine the distance a between the supports so that the maximum bending moment in the beam has the smallest possible numerical value. Draw the shear-force and bending-moment diagrams for this condition. Repeat part (a) if the uniform load is replaced with a triangularly distributed load with peak intensity q 0 = q at mid-span (see Fig. b).BuyFind*arrow_forward*

9th Edition

Barry J. Goodno + 1 other

Publisher: Cengage Learning

ISBN: 9781337093347

Chapter 4, Problem 4.5.29P

Textbook Problem

A beam of length *L *is designed to support a uniform load of intensity *q *(see figure). If the supports of the beam are placed at the ends, creating a simple beam, the maximum bending moment in the beam is *qL ^{2}/8. *However, if the supports of the beam are moved symmetrically toward the middle of the beam (as shown), the maximum bending moment is reduced.

- Determine the distance
*a*between the supports so that the maximum bending moment in the beam has the smallest possible numerical value. Draw the shear-force and bending-moment diagrams for this condition. - Repeat part (a) if the uniform load is replaced with a triangularly distributed load with peak intensity
*q*=_{0}*q*at mid-span (see Fig. b).

Mechanics of Materials (MindTap Course List)

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