Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 6, Problem 12CQ
To determine
The law used to explain the linear relationship between stress and elastic strain.
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The deformation per unit length is called
O a. Strain
O b. Tensile stress
O c. Shear stress
O d. Compressive stress
The radius of Mohr's circle of stress of a strained element is 20 N/mm² and minor principal tensile stress
is 10 N/mm². What is the value of the major principle stress?
An element in plane stress is subjected to stresses o, = -8400 psi, ay = 1100 psi, and ty =
1700 psi (see figure). The material is aluminum with
%3D
modulus of elasticity E =10,000 ksi and Poisson's ratio v = 0.33. Determine the following
quantities: (a) the strains for an element oriented at an angle 30 degrees, (b) the principal
strains, and (c) the maximum shear strains. Show the results on sketches of properly
oriented elements.
Ty
Txy
Ox
Chapter 6 Solutions
Materials Science And Engineering Properties
Ch. 6 - Prob. 1CQCh. 6 - Prob. 2CQCh. 6 - Prob. 3CQCh. 6 - Prob. 4CQCh. 6 - Prob. 5CQCh. 6 - Prob. 6CQCh. 6 - Prob. 7CQCh. 6 - Prob. 8CQCh. 6 - Prob. 9CQCh. 6 - Prob. 10CQ
Ch. 6 - Prob. 11CQCh. 6 - Prob. 12CQCh. 6 - Prob. 13CQCh. 6 - Prob. 14CQCh. 6 - Prob. 15CQCh. 6 - Prob. 16CQCh. 6 - Prob. 17CQCh. 6 - Prob. 18CQCh. 6 - Prob. 19CQCh. 6 - Prob. 20CQCh. 6 - Prob. 21CQCh. 6 - Prob. 22CQCh. 6 - Prob. 23CQCh. 6 - Prob. 24CQCh. 6 - Prob. 25CQCh. 6 - Prob. 26CQCh. 6 - Prob. 27CQCh. 6 - Prob. 28CQCh. 6 - Prob. 29CQCh. 6 - Prob. 30CQCh. 6 - Prob. 31CQCh. 6 - Prob. 32CQCh. 6 - Prob. 33CQCh. 6 - Prob. 34CQCh. 6 - Prob. 35CQCh. 6 - Prob. 36CQCh. 6 - Prob. 37CQCh. 6 - Prob. 38CQCh. 6 - Prob. 1ETSQCh. 6 - Prob. 2ETSQCh. 6 - Prob. 3ETSQCh. 6 - Prob. 4ETSQCh. 6 - Prob. 5ETSQCh. 6 - Prob. 6ETSQCh. 6 - Prob. 7ETSQCh. 6 - Prob. 8ETSQCh. 6 - Prob. 9ETSQCh. 6 - At the ultimate tensile strength. (a) The true...Ch. 6 - Prob. 11ETSQCh. 6 - Prob. 12ETSQCh. 6 - Prob. 13ETSQCh. 6 - Prob. 14ETSQCh. 6 - Prob. 15ETSQCh. 6 - Prob. 16ETSQCh. 6 - Prob. 6.1PCh. 6 - Prob. 6.2PCh. 6 - Compare the engineering and true secant elastic...Ch. 6 - Prob. 6.4PCh. 6 - Prob. 6.5PCh. 6 - An iron specimen is plastically deformed in shear...Ch. 6 - Prob. 6.7PCh. 6 - Prob. 6.8PCh. 6 - Prob. 6.9PCh. 6 - Prob. 6.10PCh. 6 - Prob. 6.11PCh. 6 - Prob. 6.12PCh. 6 - Prob. 6.13PCh. 6 - Prob. 6.14PCh. 6 - Estimate the elastic and plastic strain at the...Ch. 6 - Prob. 6.16PCh. 6 - Prob. 6.17PCh. 6 - Prob. 6.18PCh. 6 - Prob. 6.19PCh. 6 - Prob. 6.1DPCh. 6 - Prob. 6.2DP
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- The stress in an elastic material is: A Inversely proportional to the force acting B Inversely proportional to the materials yield strength C Proportional to the displacement D Inversely proportional to the strainarrow_forwardDiscuss the principles of stress and deformation analysis for several kinds of stressesarrow_forward1. For each state of plane stress shown below, i.e., for configurations (a) and (b), indicate whether each component of the state of strain is: = 0 (equal to zero) >0 (greater than zero) <0 (less than zero) The material is linear elastic with Possion's ratio is between (0, 0.5), and the deformations are small. T 30 e X 0 Ex Ey Ez Yxy Yyz Yzx (a) (b) 1° (b) 1xarrow_forward
- A bronze rod is rigidly attached between an aluminum rod and a steel rod as shown in the figure below. Axial loads are applied at the positions indicated. a) Find the maximum value of P that will not exceed a stress in steel of 140 MPa, in bronze of 100 MPa, or in aluminum of 90 MPa. b) Determine the deformation of the bronze rod if the value of P is 22.50 KN. The moduli of elasticity are 200 GPa for steel, 80 GPa for bronze and 70 GPa for aluminum.arrow_forwardAt a point in a strained material, tensile stress of 100 MPa and compressive stress of 60 MPa are found to be principal stresses Maximum shear stress at that point is: O 60 MPa O 20 MPa O 40 MPa O 80 MPaarrow_forwardStrain = 600 Stress = Strain = 500 Stress = 400 500 300 400 300 200 200 100 100 0.000 0.002 0.004 0.006 Strain 0.00 0.04 0.08 0.12 0.16 0.20 Strain Stress (MPa)arrow_forward
- 9 The ratio of direct stress to the corresponding volumetric strain is constant within its elastic limit. The ratio is known as Volumetric strain Bulk modulus Shear modulus Modulus of elasticity Poisson's ratioarrow_forwardStresses that cause change in volume are called (A) hydrostatic stresses (B) deviatoric stresses C) tensile stress D) bending stressarrow_forwardAt a certain point in a structural member, there are perpendicular stresses 80 N/mm2 and 20 N/mm², both tensile. What is the equivalent stress in simple tension, according to the maximum principal strain theory? (Poisson's ratio = 0.25)arrow_forward
- Erase Figure 9 In using the method of consistent deformation in analysing structures, the compatibility equation has to be written. Why is this necessary?arrow_forwardA steel 0.6 inch×1.2 inch steel 90 m long is subjected to a 45 KN tensile load along its lenght.If poison's ratio is 0.3 Find: A. The deformation along its lenght. B. The deformation along its thickness. C. The defirmation along uts width. D. The lateral strain.arrow_forwardThe value of strain if stress is 35 MPa and Youngs modulus 65 MPaarrow_forward
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