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9th Edition

Barry J. Goodno + 1 other

Publisher: Cengage Learning

ISBN: 9781337093347

Chapter 7, Problem 7.4.1P

Textbook Problem

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(a)

To determine

The stresses acting on an element oriented at a counterclockwise angle

**Given information:**

The normal stress along x- axis is

The normal stress along y -axis is

The shear stress along x-y plane is

Following are the steps to be followed to draw Mohr’s circle.

1. Mohr’s circle is always drawn in the

2. Direct stress will be positive if it is tensile otherwise it is negative.

3. Shear stresses will be positive if it tends to move the body in clockwise and vice versa.

4. Angle will be

4 Mark point A

5. AB will be diameter of the circle.

Write the expression for the centre of circle.

m:math>

Here, normal stress along

Write the expression for radius of the Mohr’s circle.

Here, the shear stress along the

(b)

To determine

The maximum shear stress and associated normal stress.

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 - Solve the preceding problem if the element is...Ch. 7 - A cube of cast iron with sides of length a = 4.0...Ch. 7 - Solve the preceding problem if the cube is granite...Ch. 7 - An element of aluminum is subjected to iriaxial...Ch. 7 - Solve the preceding problem if the material is...Ch. 7 - A rubber cylinder R of length L and cross-...Ch. 7 - A block R of rubber is confined between plane...Ch. 7 - -11 A rubber cube R of a side L = 3 in. and cross-...Ch. 7 - A copper bar with a square cross section is...Ch. 7 - A solid spherical ball of magnesium alloy (E = 6.5...Ch. 7 - A solid steel sphere (E = 210 GPa, v = 0.3) is...Ch. 7 - A solid bronze sphere (volume modulus of...Ch. 7 - An element of material in plain strain has the...Ch. 7 - An clement of material in plain strain has the...Ch. 7 - An element of material in plain strain is...Ch. 7 - An element of material in plain strain is...Ch. 7 - A thin rectangular plate in biaxial stress is...Ch. 7 - Solve the preceding problem if b = 180 mm and b =...Ch. 7 - 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