Consider a thin annular disc with inner radius ri and outer radius ro, as shown in...
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Consider a thin annular disc with inner radius ri and outer radius ro, as shown in the figure. The outer boundary of the disc is clamped and a uniformly distributed load of intensity qo is applied over the annulus. (a) The deflection of the midplane is given by p4 7² D p² 64+C14 (logr - 1) + C₂ + c3 logr + C4, - 4 w(r) 90 as we showed in class.* Write down the complete set of equations required to solve for the constants of integration ci, C2, C3, and c4. (Just write out the equations - no need to solve them, as this is laborious.) (20 points) (b) Write down expressions for the maximum displacement, =I zŢ² 90 To 90 Clamped boundary Consider a thin annular disc with inner radius ri and outer radius ro, as shown in the figure. The outer boundary of the disc is clamped and a uniformly distributed load of intensity qo is applied over the annulus. (a) The deflection of the midplane is given by p4 7² D p² 64+C14 (logr - 1) + C₂ + c3 logr + C4, - 4 w(r) 90 as we showed in class.* Write down the complete set of equations required to solve for the constants of integration ci, C2, C3, and c4. (Just write out the equations - no need to solve them, as this is laborious.) (20 points) (b) Write down expressions for the maximum displacement, =I zŢ² 90 To 90 Clamped boundary
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a Equations to solve for constants of integration To determine the constants of integration c1 c2 c3 ... View the full answer
Related Book For
Shigleys Mechanical Engineering Design
ISBN: 978-1121345317
9th edition
Authors: Richard G. Budynas, J. Keith Nisbett
Posted Date:
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