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9th Edition

Barry J. Goodno + 1 other

Publisher: Cengage Learning

ISBN: 9781337093347

Chapter 7, Problem 7.7.19P

Textbook Problem

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During a test of an airplane wing, the strain gage readings from a **45° **rosette (see figure) are as follows: gage * A, *520

Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.

To determine

The principal strains and maximum shear strains.

Strain along direction A is

The strain along direction C is

Write the expression for the strain along x axis.

Here, the normal strain along x direction is

Write the expression for the strain along y axis.

Here, the normal strain along y direction is

Write the Equation for strain along x-y plane.

Here, the shear strain along x-y plane is

Write expression for the principal strains.

Here, the maximum principal strain is

Write the expression for the principal angle.

Here,

Write the expression for maximum shear strain,

Here,

Write expression for first shear angle

Here,

Write expression for second shear angle

Here,

Write the Equation for average strain

Write expression for maximum shear strain.

**Calculation:**

Substitute

Substitute

Substitute

Substitute

Mechanics of Materials (MindTap Course List)

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