In an elastic body without any body force, the Airy's stress function determined as:$ = x*y + 4x²y³ – y5i) Check whether this function is satisfying Biharmonic equation or not.ii) Determine the stress components.

Introduction- The biharmonic equation in mathematics is a 4th partial differential equations that…

In an elastic body without any body force, the Airy's stress function determined as: $ = x*y + 4x²y3 – y5 i) Check whether this function is satisfying Biharmonic equation or not. ii) Determine the stress components.

In an elastic body without any body force, the Airy's stress function determined as: $ = x*y + 4x²y3 – y5 i) Check whether this function is satisfying Biharmonic equation or not. ii) Determine the stress components.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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In an elastic body without any body force, the Airy's stress function determined as:
$ = x*y + 4x²y³ – y5
i) Check whether this function is satisfying Biharmonic equation or not.
ii) Determine the stress components.

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At a point in a machine component that is subjected to plane stress, the normal and shear stresses are σx= 100 MPa, σy= 65 MPa, and τxy= 70 MPa, acting in the directions shown in the figure. At this point, determine the strain components εx, εy, εz, and γxy. Assume that E = 71 GPa and v = 0.28 for the machine component.
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