Question

A cylindrical specimen of some metal alloy 8.6 mm in diameter is stressed in tension. A force of 9070 N produces an elastic reduction in specimen diameter of 0.0048 mm. Calculate the elastic modulus (in GPa) of this material if its Poisson's ratio is 0.33.

Answer #1

A cylindrical specimen of a hypothetical metal alloy is stressed
in compression. If its original and final diameters are 22.623 and
22.651 mm, respectively, and its final length is 79.4 mm, calculate
its original length if the deformation is totally elastic. The
elastic and shear moduli for this alloy are 104 GPa and 38.3 GPa,
respectively.

A cylindrical specimen of a brass alloy 10.2 mm (0.4016 in.) in
diameter and 120.1 mm (4.728 in.) long is pulled in tension with a
force of 12300 N (2765 lbf); the force is subsequently released.
Compute the final length of the specimen at this time. answer in
mm.

A cylindrical specimen of a brass alloy 10.2 mm (0.4016 in.) in
diameter and 120.1 mm (4.728 in.) long is pulled in tension with a
force of 12300 N (2765 lbf); the force is subsequently released.
The tensile stress-strain behavior for this alloy is shown in the
Animated Figure 6.12. Compute the final length of the specimen at
this time.

Problem. A cylindrical specimen of a hypothetical metal having a
diameter of 7.671 mm and a gauge length of 251.905 mm is pulled in
tension. Use the load–elongation characteristics shown in the
following table to complete parts (a) through (f).
(a) Plot the data as stress (MPa) versus strain
(b) Compute the modulus of elasticity in GPa
(c) Determine the yield strength at a strain offset of 0.002
(d) Determine the tensile strength of this alloy
(e) What is the...

1. A specimen of an unknown material is subjected to tensile
test. It presents a square Cross-Section (36 mm on each side) and
an initial length of 161 mm. Once it is pulled in tension to a load
of 72,472 N, it experiences an elongation of: 0.44 mm.
Assuming an elastic behavior, determine Young's Modulus for this
material (in GPa).
2. A specimen of an unknown material is subjected to tensile
test. It presents a square Cross-Section (32 mm on...

A cylindrical specimen of stainless steel having diameter of
12.8 mm and a guage length of 50.88 mm(2.000in.) is pulled in
tension. Use the load-elongation characterisitcs shown in the
following table. Plot the data as engineering stress vs.
engineering strain. Then compute the modulus of elasticity, yeild
strength at a strain offset of 0.002, determine the tensile
strength of this alloy, approximate ductility in percent elongation
and the modulus of resilience.
N
mm
0
50.8
12700
50.825
25400
50.851
38100...

The elastic modulus, yield strength and ultimate strength of a
certain material
are 110 GPa, 240 MPa and 265 MPa, respectively. If a cylindrical
bar of this
material 380 mm long is subjected to a uniaxial tension test and
its length is
increased by an amount of 0.50 mm under a tensile load of 6660 N.
At the same
time its diameter decreased by 0.28 mm. Calculate;
a) The initial diameter of the bar,

Due to the operational conditions and temperature gradient, a 70
mm diameter, 1.55 m long
steel rod within a machine assembly is subjected to a combination
of tensile loading of 150 N and
thermal loading which imposes a longitudinal force of 230 N. The
total loading results in an even
distribution of forces on the body of the rod causing it to change
its dimensions by increasing 0.5
mm in length at both ends and decreasing by 0.0125 mm at...

Young's modulus is a quantitative measure of stiffness of an
elastic material. Suppose that for metal sheets of a particular
type, its mean value and standard deviation are 90 GPa and 2.1 GPa,
respectively. Suppose the distribution is normal.
a) Calculate P(89 ≤ X ≤ 91) when n = 9.
b) How likely is it that the sample mean diameter exceeds 91
when n = 25?

Young's modulus is a quantitative measure of stiffness of an
elastic material. Suppose that for metal sheets of a particular
type, its mean value and standard deviation are 75 GPa and 2.4
GPa,respectively. Suppose the distribution is normal. (Round your
answers to four decimal places.)
a. calculate P(74 ≤ X ≤ 76) when n = 25.
b. How likely is it that the sample mean diameter exceeds 76
when n = 36?

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