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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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
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)
1x
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
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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- The 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_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_forwardAcube 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_forward
- 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 Oxarrow_forwarddifference between 1st principal stress, 2nd principal stress, and 3rd principal stress in mechaninical engineeringarrow_forwardThe 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_forward
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