Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 9, Problem 1ETSQ
To determine
The viscosity of Newtonian Fluid.
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True or false
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 ratio
An aluminium specimen with an initial gauge diameter d, = 10 mm and gauge length, 1, = 100 mm is
%3D
subjected to tension test. A tensile force P= 50 kN is applied
at the ends of the specimen as shown, resulting in an elongation of 1 mm in gauge length. The Poisson's
ratio (µ) of the specimen is
Take shear modulus of material, G = 25 GPa. Consider engineering stress-strain conditions.
P
Chapter 9 Solutions
Materials Science And Engineering Properties
Ch. 9 - Prob. 1CQCh. 9 - Prob. 2CQCh. 9 - Prob. 3CQCh. 9 - Prob. 4CQCh. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Prob. 7CQCh. 9 - Prob. 8CQCh. 9 - Prob. 9CQCh. 9 - Prob. 10CQ
Ch. 9 - Prob. 11CQCh. 9 - Prob. 12CQCh. 9 - Prob. 13CQCh. 9 - At temperatures above the equi-cohesive...Ch. 9 - Prob. 15CQCh. 9 - Prob. 16CQCh. 9 - Prob. 17CQCh. 9 - Prob. 18CQCh. 9 - Prob. 19CQCh. 9 - Prob. 20CQCh. 9 - Prob. 21CQCh. 9 - Prob. 22CQCh. 9 - Prob. 23CQCh. 9 - Prob. 24CQCh. 9 - Prob. 25CQCh. 9 - Prob. 26CQCh. 9 - Prob. 27CQCh. 9 - Prob. 28CQCh. 9 - Prob. 29CQCh. 9 - Prob. 30CQCh. 9 - Prob. 31CQCh. 9 - Prob. 32CQCh. 9 - Prob. 33CQCh. 9 - Prob. 34CQCh. 9 - Prob. 35CQCh. 9 - Prob. 1ETSQCh. 9 - Prob. 2ETSQCh. 9 - Prob. 3ETSQCh. 9 - Prob. 4ETSQCh. 9 - Prob. 5ETSQCh. 9 - Prob. 6ETSQCh. 9 - Prob. 7ETSQCh. 9 - Prob. 8ETSQCh. 9 - Prob. 9ETSQCh. 9 - Prob. 10ETSQCh. 9 - Prob. 11ETSQCh. 9 - Prob. 12ETSQCh. 9 - Prob. 9.1PCh. 9 - Prob. 9.2PCh. 9 - Prob. 9.3PCh. 9 - Prob. 9.4PCh. 9 - Prob. 9.5PCh. 9 - Prob. 9.6PCh. 9 - Prob. 9.7PCh. 9 - Prob. 9.8PCh. 9 - Prob. 9.9PCh. 9 - Prob. 9.10PCh. 9 - For silver at a tensile stress of 7 MPa and a...Ch. 9 - For germanium at a tensile stress of 410 MPa and a...Ch. 9 - Prob. 9.13PCh. 9 - Prob. 9.14PCh. 9 - Prob. 9.15PCh. 9 - Prob. 9.16PCh. 9 - Prob. 9.17PCh. 9 - Prob. 9.18PCh. 9 - Prob. 9.19PCh. 9 - Prob. 9.20PCh. 9 - Prob. 9.21PCh. 9 - Prob. 9.22P
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- 1. 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_forwardA steel alloy specimen having a rectangular cross section of dimensions 19.1 mm x 3.1 mm (0.7520 in. × 0.1220 in.) has the stress-strain behavior shown in the Animated Figure 6.22b. If this specimen is subjected to a tensile force of 98290 N (22100 Ib;) then (a) Determine the amount of elastic strain induced. (b) Determine the amount of plastic strain induced. (c) If its original length is 610 mm, what will be its final length after this force is applied and then released? The elastic modulus for steel is 207 GPa. (a) i (b) i (c) i mmarrow_forwardThe stress-strain diagram of a material specimen under compressive load was represented by a parabola up to the ultimate strength with the following formula, o. = 1-) where o, and ɛ, is the stress and strain of material, fe is the ultimate strength of Eco material and ɛco is the strain at ultimate strength. If the compressive strength and the corresponding strain of the materials was determined to be 40 MPa and 0.003, respectively: a) Determine the modulus of elasticity of the concrete material. Show your method and calculations.arrow_forward
- Acube of material is subjected to the following direct stress system: , = +120 N/mm², o, = + 80 N/mm² and o̟=-100 N/mm². If Young's modulus, E, is 200 000 N/mm² and Poisson's ratio, v, is 0.3 calculate the direct strain in the x, y and z directions and hence the volumetric strain in the cube.arrow_forwardThe stress concentration occurs whenever there is an abrupt change in the cross-section of a component or there is any discontinuity in the material. The figure given below shows a flat plate with a hole of diameter d. The plate is fixed at one end and the other end is subjected to a tensile load of P = 41 kN due to which there is a change in length of 0.4 mm. The thickness of the plate is 11 mm. The maximum stress developed in the flat plate is 235 MPa. Take Young's modulus(E) = 210 GPa and theoretical stress concentration factor =2, Calculate the following values: i) Width of the plate (W2) in mm ii) Nominal Stress in MPa iii) Diameter of the hole (d) in mm Hole with stress concentration factor 2 35 mm W2 35 mm P 300 mm 350 mm- 250 mmarrow_forwardThe stress concentration occurs whenever there is an abrupt change in the cross-section of a component or there is any discontinuity in the material. The figure given below shows a flat plate with a hole of diameter d. The plate is fixed at one end and the other end is subjected to a tensile load of P = 44 kN due to which there is a change in length of 0.4 mm. The thickness of the plate is 11.5 mm. The maximum stress developed in the flat plate is 228 MPa. Take Young's modulus(E) = 210 GPa and theoretical stress concentration factor =2, Calculate the following values: i) Width of the plate (W2) in mm ( ii) Nominal Stress in MPa ( iii) Diameter of the hole (d) in mmarrow_forward
- difference between 1st principal stress, 2nd principal stress, and 3rd principal stress in mechaninical engineeringarrow_forwardAn 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 Oxarrow_forwardDon't give me wrong solutionarrow_forward
- The value of strain if stress is 35 MPa and Youngs modulus 65 MPaarrow_forwardThe modulus of elasticity is measured as the secant for a stress at: a) 30% b) 45% c) 25% d) 40%arrow_forwardLength, width and thickness of a plate are 400 mm, 400 mm and 30 mm, respectively. For the material of the plate, Young's modulus of elasticity is 70 GPa, yield stress is 80 MPa and Poisson's ratio is 0.33. When the plate is subjected to a longitudinal tensile stress of 70 MPa, the increase in the volume (in mm') of the plate isarrow_forward
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