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

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter6: Beams And Cables

Section: Chapter Questions

Problem 6.42P: For the beam AB shown in Cases 1 and 2, derive and plot expressions for the shear force and bending...

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