prob_15_01_04 - Problem 15.1-4 Given: An isotropic thin...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Problem 15.1-4 Given: An isotropic thin rectangular plate has dimension a parallel to the x axis and dimension b parallel to the y axis. The x -parallel edges are simply supported; the y -parallel edges are free. Uniform downward pressure p is applied to the upper surface. What are the principal stresses at the middle of the lower surface? What is the lateral deflection at the center of the plate. Solution: a b Free edge x y When bending occurs making a cylindrical surface, then the plate acts like a beam with a uniform distributed load. A simply supported beam with a uniform distributed load has the following deflection formula: w 5q L 4 384 E I = We can adapt this to the plate using: qp 1 () = distributed load per unit width EI D = Et 3 12 1 ν 2  = q b/2 qb/2 V M y Lb = Thus: w 60 q b 4 1 ν 2 384 E t 3 = Using a free body diagram, the maximum moment in a simply supported beam at the center is
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/11/2011 for the course MAE 5020 taught by Professor Folkman during the Fall '10 term at Utah State University.

Page1 / 2

prob_15_01_04 - Problem 15.1-4 Given: An isotropic thin...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online