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9th Edition

Barry J. Goodno + 1 other

Publisher: Cengage Learning

ISBN: 9781337093347

Chapter 7, Problem 7.7.24P

Textbook Problem

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A 600 strain rosette, or *delta rosette, *consists of three electrical-resistance strain gages arranged as shown in the figure. Gage * A *measures the normal strain e, in the direction of the x axis. Gages Band C measure the strains and e in the inclined directions shown.

Obtain the equations for the strains 8. e. and y, associated with the *x-v *axes.

To determine

The equation for the strain in the

The equations for the strain in the

The equation of the shear strain associated with

The following figure shows the

b

Figure-(1)

From figure (1)

At resistor

For

Write the expression for the normal strain at an angle of

Here, the strain at an angle of

Substitute

Write the expression for the normal strain at an angle of

Here, the strain in the resistor

Substitute

Mechanics of Materials (MindTap Course List)

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The state of stress on an element of material is...Ch. 7 - An element of a material is subjected to plane...Ch. 7 - Assume that the normal strains x and y , for an...Ch. 7 - A cast-iron plate in biaxial stress is subjected...Ch. 7 - Solve the preceding problem for a steel plate with...Ch. 7 - • - 3 A rectangular plate in biaxial stress (see...Ch. 7 - Solve the preceding problem for an aluminum plate...Ch. 7 - A brass cube of 48 mm on each edge is comp ressed...Ch. 7 - 7.5-11 in. cube of concrete (E = 4.5 X 106 psi. v...Ch. 7 - -12 A square plate of a width h and thickness t is...Ch. 7 - Solve the preceding problem for an aluminum plate...Ch. 7 - A circle of a diameter d = 200 mm is etched on a...Ch. 7 - The normal stress on an elastomeric rubber pad in...Ch. 7 - A rubber sheet in biaxial stress is subjected to...Ch. 7 - An element of aluminum is subjected to tri-axial...Ch. 7 - An element of aluminum is subjected to tri- axial...Ch. 7 - -3 An element of aluminum in the form of a...Ch. 7 - 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