Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Chapter 8, Problem 69CQ
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value for modulus of elasticty for steel is 29000 ksi and for aluminum it is 10000ksi. yield strength for steel is 36 ksi and yield strength for aluminum is 37 ksi
If it is constrained between two supports A and B and is stress-free at 20 ℃, what would be the stress in the two materials when it is heated to 70 ℃,
For Steel: Es = 210 GPa, Coefficient of expansion = 12x10^6/℃.
For Brass: Eb = 105 GPa, Coefficient of expansion = 19x10^-6/℃
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
Chapter 8 Solutions
Materials Science And Engineering Properties
Ch. 8 - Prob. 1CQCh. 8 - Prob. 2CQCh. 8 - Prob. 3CQCh. 8 - Prob. 4CQCh. 8 - Prob. 6CQCh. 8 - Prob. 7CQCh. 8 - Prob. 8CQCh. 8 - Prob. 9CQCh. 8 - Prob. 10CQCh. 8 - Prob. 11CQ
Ch. 8 - Prob. 12CQCh. 8 - Prob. 13CQCh. 8 - Prob. 14CQCh. 8 - Prob. 15CQCh. 8 - Prob. 16CQCh. 8 - Prob. 17CQCh. 8 - Prob. 18CQCh. 8 - Prob. 19CQCh. 8 - Prob. 20CQCh. 8 - Prob. 21CQCh. 8 - Prob. 22CQCh. 8 - Prob. 23CQCh. 8 - Prob. 24CQCh. 8 - Prob. 25CQCh. 8 - Prob. 26CQCh. 8 - Prob. 27CQCh. 8 - Prob. 28CQCh. 8 - Prob. 29CQCh. 8 - Prob. 30CQCh. 8 - Prob. 31CQCh. 8 - Prob. 32CQCh. 8 - Prob. 33CQCh. 8 - Prob. 34CQCh. 8 - Prob. 35CQCh. 8 - Prob. 36CQCh. 8 - Prob. 37CQCh. 8 - Prob. 38CQCh. 8 - Prob. 39CQCh. 8 - Prob. 40CQCh. 8 - Prob. 41CQCh. 8 - Prob. 42CQCh. 8 - Prob. 43CQCh. 8 - Prob. 44CQCh. 8 - Prob. 45CQCh. 8 - Prob. 46CQCh. 8 - Prob. 47CQCh. 8 - Prob. 48CQCh. 8 - Prob. 49CQCh. 8 - Prob. 50CQCh. 8 - Prob. 51CQCh. 8 - Prob. 52CQCh. 8 - Prob. 53CQCh. 8 - Prob. 54CQCh. 8 - Prob. 55CQCh. 8 - Prob. 56CQCh. 8 - Prob. 57CQCh. 8 - Prob. 58CQCh. 8 - Prob. 59CQCh. 8 - Prob. 60CQCh. 8 - Prob. 61CQCh. 8 - Prob. 62CQCh. 8 - Prob. 63CQCh. 8 - Prob. 64CQCh. 8 - Prob. 65CQCh. 8 - Prob. 66CQCh. 8 - Prob. 67CQCh. 8 - Prob. 68CQCh. 8 - Prob. 69CQCh. 8 - Prob. 70CQCh. 8 - Prob. 71CQCh. 8 - Prob. 72CQCh. 8 - Prob. 73CQCh. 8 - Prob. 74CQCh. 8 - Prob. 75CQCh. 8 - Prob. 76CQCh. 8 - Prob. 77CQCh. 8 - Prob. 78CQCh. 8 - Prob. 79CQCh. 8 - Prob. 80CQCh. 8 - Prob. 81CQCh. 8 - Prob. 82CQCh. 8 - Prob. 83CQCh. 8 - Prob. 84CQCh. 8 - Prob. 85CQCh. 8 - Prob. 86CQCh. 8 - Prob. 87CQCh. 8 - Prob. 88CQCh. 8 - Prob. 89CQCh. 8 - Prob. 90CQCh. 8 - Prob. 91CQCh. 8 - Prob. 92CQCh. 8 - Prob. 93CQCh. 8 - Prob. 94CQCh. 8 - Prob. 95CQCh. 8 - Prob. 96CQCh. 8 - Prob. 97CQCh. 8 - Prob. 98CQCh. 8 - Prob. 99CQCh. 8 - Prob. 100CQCh. 8 - Prob. 101CQCh. 8 - Prob. 102CQCh. 8 - Prob. 103CQCh. 8 - Prob. 104CQCh. 8 - Prob. 105CQCh. 8 - Prob. 1ETSQCh. 8 - Prob. 2ETSQCh. 8 - Prob. 3ETSQCh. 8 - Prob. 4ETSQCh. 8 - Prob. 5ETSQCh. 8 - Prob. 6ETSQCh. 8 - Prob. 7ETSQCh. 8 - Prob. 8ETSQCh. 8 - Prob. 9ETSQCh. 8 - Prob. 10ETSQCh. 8 - Prob. 11ETSQCh. 8 - Prob. 12ETSQCh. 8 - Prob. 13ETSQCh. 8 - Prob. 14ETSQCh. 8 - Prob. 15ETSQCh. 8 - Prob. 16ETSQCh. 8 - Prob. 17ETSQCh. 8 - Prob. 18ETSQCh. 8 - Prob. 19ETSQCh. 8 - Prob. 20ETSQCh. 8 - Prob. 21ETSQCh. 8 - Prob. 8.1PCh. 8 - Prob. 8.2PCh. 8 - Prob. 8.3PCh. 8 - Prob. 8.4PCh. 8 - The frame of a space shuttle type vehicle must...
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- d) No increase Which of the following is not a property of steel materials? C a) Homogeneous and isotropic b) Linearly elastic stress-strain behavior c) Recyclable d) Fire-resistantarrow_forwardIn the bulk modulus of Brass is 110 GPa and its Poisson's ratio is 0.30, then the elastic modulusarrow_forwardAn aluminum alloy [E = 74 GPa; v = 0.33; a = 23.0 x 10-6/°C] plate is subjected to a tensile load P. The plate has a depth of d = 265 mm, a cross-sectional area of A = 5300 mm², and a length of L= 4.2 m. The initial longitudinal normal strain in the plate is zero. After load P is applied and the temperature of the plate has been increased by AT = 57°C, the longitudinal normal strain in the plate is found to be 2920 με. Determine: (a) the magnitude of load P. (b) the change in plate depth Ad. L P Answer: (a) P = i (b) Δd = i kN mmarrow_forward
- Narrow 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 batch of casted mild steel has a modulus of elasticity of 200 GPa and a yield strength of 250 MPa. Calculate for its modulus of resilience. After cold working the steel, the yield strength increases to 310 MPa. Calculate for the percent reduction in the average grain diameter given σo = 70 MPa and k = 0.74.arrow_forwardSteel, Brass, and Copper rods are connected as shown in the figure. Initially, the temperature was 15 degrees Celsius and the stress on the bars is zero. Eventually, the temperature increased to 25 degrees Celsius. Determine the total deformation on the steel. Steel Brass Copper Est = 200 GPa Ebr = 100 GPa Ecu = 120 GPa %3D ast = 12(10-6)/°C abr = 21(10¬6)/°C acu = 17(10-)/°C %3D Acu = 515 mm² |Ast = 200 mm? Abr = 450 mm² %3D 300 mm- 200 mm 100 mm O -0.0058mm O 0.0165mm O -0.0165mm O 0.0058mmarrow_forward
- Steel, Brass, and Copper rods are connected as shown in the figure. Initially, the temperature was 15 degrees Celsius and the stress on the bars is zero. Eventually, the temperature increased to 25 degrees Celsius. Determine the total deformation on the brass. Steel Brass Copper Est = 200 GPa 12(10-)/°C apr Ebr Ecu 17(10-)/°C 120 GPa 100 GPa %3D ast = 21(10-6)/°C acu Acu = 515 mm? |Ast 200 mm2 Abr = 450 mm2 300 mm -200 mm 100 mm O -0.0109mm O 0.0241mm O -0.0241mm O 0.0109mm oooOarrow_forwardA strip of high-strength steel has a length of 30 cm and a cross section of 1 mm by 20 mm. The modulus of elasticity is 200 GPa and Poison’s ratio is 0.27. It is subjected to an axial load of 15000 N, and it is instrumented with two axial strain gauges with R= 120 Ω and a gauge factor of 2.10. The two fixed resistors are also 120 Ω, and the supply voltage is 2.5 V. The bridge is adjusted to zero voltage output before load is applied. Find the output of the bridge with load applied.arrow_forwardA member which is subjected to reversible tensile or compressive stresses may fail at stresses may fail at stresses lower than the ultimate stresses of the material. This property of metal is calledarrow_forward
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