Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 14, Problem 14.1P
To determine
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Two bars of different materials and same size
are subjected to the same tensile force. If the
bars have unit elongation in the ratio 2: 5, then
the ratio of modulus of elasticity of the two
materials will be
(a) 2:5
(c) 4 :3
(b) 5:2
(d) 3:4
An aluminum alloy [E = 70 GPa; v = 0.33; a = 23.0×10-6/°C] bar is subjected to a tensile load P. The bar has a depth of d = 260 mm, a
cross-sectional area of A = 14720 mm2, and a length of L = 5.5 m. The initial longitudinal normal strain in the bar is zero. After load P
is applied and the temperature of the bar has been increased by AT = 46°C, the longitudinal normal strain is found to be 1680 µɛ.
% D
Calculate the change in bar depth d after the load P has been applied and the temperature has been increased.
L
P
Answer:
Ad =
i
mm
An extruded polymer bear is subjected to a bending moment M. The length of the bear is L = 500 mm. The cross-sectional dimensions
of the bear are b₁ = 39 mm, d₁ = 95 mm, b₂ = 23 mm, d₂ = 23 mm, and a = 8 mm. For this material, the allowable tensile bending stress is
18 MPa, and the allowable compressive bending stress is 9 MPa. Determine the largest moment M that can be applied as shown to the
beam.
M
A
Answer:
M =
L
B
N-m
↓
a
d₂
➡AK
b₂
b₁
yak
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Materials Science And Engineering Properties
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- Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2 at an engineering strain of 6.0. Assume that the deformation is all elastic.arrow_forwardThe frame of a space shuttle type vehicle must have a high yield strength and high stillness, and the most important design factor is weight. Of all the materials presented in this chapter, what material might be the most suitable for the frame of a space shuttle? Assume that there will be both tensile and compressive stresses. For a space shuttle, cost is not a limiting factor. (a) You can eliminate entire classes of materials from consideration with a brief statement about their unsuitability. (b) What material has the highest specific yield strength? Give the yield strength, specific gravity, specific yield strength, elastic modulus, and specific elastic modulus for this material. (c) What material has the highest specific elastic modulus? Give the yield strength, specific gravity, specific yield strength, elastic modulus, and specific elastic modulus for this material. (d) Compare the materials with the highest specific yield strength and highest specific elastic modulus for suitability in the space shuttle frame. (C) Discuss the suitability of the top-rated material for this design from the viewpoint of the ability to produce a frame.arrow_forwardProblem 1 An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown. Axial loads are applied at the positions indicated. Aluminum Steel A=800mm2 A=1000mm2 Bronze A=700mm? 4P 2P 500mm 600mm 700mm 1. What is the maximum value of P that will not exceed the axial stress bronze of 105 MPa? 2. What is the maximum value of P that will not exceed the axial stress in aluminum of 90 MPa? 3. If P=10KN, what is the axial force to be carried by the aluminum in KN? 4. If P is 5KN, what is the axial stress of steel?arrow_forward
- Material A is known as a high strength material and Material B has high toughness. Explain the difference between properties of Materials A and B.arrow_forwardThe modulus of elasticity are slightly higher for ceramic materials, Polymers have modulus values that are smaller than both metals and ceramics.arrow_forwardThe following information about the o-e curve is given for a steel alloy. E = 0.001527 at o = 300 MPa and ɛ = 0.003054 for o = 600 MPa. (a) Draw the stress-strain diagram and calculate the E for this alloy.arrow_forward
- In the figure shown below, determine: 1) The final temperature if the normal stress at aluminium is Oal = = -90 MPa and the initial temperature 20°C. 2) The final length of the aluminium member. Aluminum Bronze A=1800mm2 A=1500mm2 E=105GPA E=73GPA a=23.2x10-6/°C a=21.6x10-6/°C Gap=0.5mm 0.35m 0.45marrow_forwardNarrow bars of aluminum are bonded to the two sides of a thick steel plate as shown. Initially, at T₁ = 70°F, all stresses are zero. Knowing that the temperature will be slowly raised to T₂ and then reduced to T₁, determine (a) the highest temperature T₂ that does not result in residual stresses, (b) the temperature T₂ that will result in a residual stress in the aluminum equal to 58 ksi. Assume aa = 12.8 x 10-6/°F for the aluminum and a = 6.5 × 10-6/°F for the steel. Further assume that the aluminum is elastoplastic with E = 10.9 × 106 psi and ay = 58 ksi. (Hint: Neglect the small stresses in the plate.) Fig. P2.121arrow_forwardA steel bar has a length of 2.5 m and cross-section of 200-mm x 100-mm. The modulus of elasticity of this material is 210 GPa and Poison's Ratio is 0.3. The change in width after applying a tensile force of 150 kN is?arrow_forward
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