Ore is to be transported along a conveyor belt in a refinery. Figure Q1 shows an idealised beam representing a roller in the conveyor, with a varying distributed load applied to it by the ore. The roller has a constant bending stiffness along its length. The distributed load starts at 0.2 kN/m at the left-hand support and linearly increases to 1.2 kN/m at the middle of the roller. The distributed load then linearly decreases back to 0.2 kN/m at the right- hand support. Using singularity functions, calculate the required bending stiffness for the roller such that its maximum displacement due to the load is 15 mm. 0.2 kN/m 0.5 m 1.2 kN/m 0.5 m y, v X 0.2 kN/m
Ore is to be transported along a conveyor belt in a refinery. Figure Q1 shows an idealised beam representing a roller in the conveyor, with a varying distributed load applied to it by the ore. The roller has a constant bending stiffness along its length. The distributed load starts at 0.2 kN/m at the left-hand support and linearly increases to 1.2 kN/m at the middle of the roller. The distributed load then linearly decreases back to 0.2 kN/m at the right- hand support. Using singularity functions, calculate the required bending stiffness for the roller such that its maximum displacement due to the load is 15 mm. 0.2 kN/m 0.5 m 1.2 kN/m 0.5 m y, v X 0.2 kN/m
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
Problem 5.5.9P: A seesaw weighing 3 lb/ft of length is occupied by two children, each weighing 90 lb (see figure)....
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