At a temperature of 60°F, a 0.02-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E- 10,000 ksi; v=0.32; a = 12.5 x 106/°F] bar with a width of 2.8 in. and a thickness of 0.85 in. Bar (2) is a stainless steel [E - 28,000 ksi; v- 0.12; a = 9.6 x 10-6/°F] bar with a width of 1.6 in. and a thickness of 0.85 in. The supports at A and Care rigid. Assume h₁-2.8 in., h₂=1.6 in., L₁-26 in., L2=40 in., and 4 = 0.02 in. Determine (a) the lowest temperature at which the two bars contact each other. (b) the normal stress in the two bars at a temperature of 225°F. (c) the normal strain in the two bars at 225°F. (d) the change in width of the aluminum bar at a temperature of 225°F. (1) B L₁ L₂ Determine the lowest temperature, Tcontact, at which the two bars contact each other. Answer: Tcontact i °F

At a temperature of 60°F, a 0.02-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E- 10,000 ksi; v=0.32; a = 12.5 x 106/°F] bar with a width of 2.8 in. and a thickness of 0.85 in. Bar (2) is a stainless steel [E - 28,000 ksi; v- 0.12; a = 9.6 x 10-6/°F] bar with a width of 1.6 in. and a thickness of 0.85 in. The supports at A and Care rigid. Assume h₁-2.8 in., h₂=1.6 in., L₁-26 in., L2=40 in., and 4 = 0.02 in. Determine (a) the lowest temperature at which the two bars contact each other. (b) the normal stress in the two bars at a temperature of 225°F. (c) the normal strain in the two bars at 225°F. (d) the change in width of the aluminum bar at a temperature of 225°F. (1) B L₁ L₂ Determine the lowest temperature, Tcontact, at which the two bars contact each other. Answer: Tcontact i °F

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter8: Engineering Materials

Section: Chapter Questions

Problem 10ETSQ

See similar textbooks

Similar questions

At a temperature of 60°F, a 0.04-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; a = 12.5 x 10-6/°F] bar with a width of 3.0 in. and a thickness of 0.75 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; a = 9.6 x 10-6/°F] bar with a width of 2.0 in. and a thickness of 0.75 in. The supports at A and C are rigid. Determine (a) the lowest temperature at which the two bars contact each other. (b) the normal stress in the two bars at a temperature of 250°F. (c) the normal strain in the two bars at 250°F. (d) the change in width of the aluminum bar at a temperature of 250°F. (1) 3.0 in. 32 in. 2.0 in. B ↓ (2) 44 in. 0.04-in. gap Determine the lowest temperature, Tcontact, at which the two bars contact each other.
At a temperature of 60°F, a 0.04-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; a = 12.7 x 10-6/°F] bar with a width of 3 in. and a thickness of 0.75 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; a = 8.6 x 10-6/°F] bar with a width of 2 in. and a thickness of 0.75 in. The supports at A and C are rigid. Determine the lowest temperature at which the two bars contact each other. (1) 3 in. 32 in. 90.2°F O 69.9°F 139.2°F 103.5°F O 111.0°F B ↑ 2 in. ↓ 44 in. -0.04-in. gap
At a temperature of 60°F, a 0.04-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; α=α=12.5 x 10-6/°F] bar with a width of 2.5 in. and a thickness of 0.75 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; α=α=9.6 x 10-6/°F] bar with a width of 1.7 in. and a thickness of 0.75 in. The supports at A and C are rigid. Assume h1=2.5 in., h2=1.7 in., L1=31 in., L2=46 in., and Δ=Δ= 0.04 in. (A) Determine the lowest temperature, Tcontact, at which the two bars contact each other. (B) Find a geometry-of-deformation relationship for the case in which the gap is closed. Express this relationship by entering the sum δ1+δ2, where δ1 is the axial deflection of Bar (1), and δ2 is the axial deflection of Bar (2). δ1+δ2= _____in. (C) Find the force in the Bar (1), F1, and the force in Bar (2), F2, at a temperature of 225oF. By convention, a tension force is positive and a compression force is negative. IN KIPS (D) Find σ1 and σ2,…
At a temperature of 60°F, a 0.04-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; a = 14.4 x 10-6/°F] bar with a width of 3 in. and a thickness of 0.75 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; a = 9.6 × 10-6/°F] bar with a width of 2 in. and a thickness of 0.75 in. The supports at A and Care rigid. Determine the lowest temperature at which the two bars contact each other. (1) 3 in. 32 in. 105.3°F 75.3°F O 147.3°F 86.6°F 113.4°F B ↑ 2 in. ↓ (2) 44 in. 0.04-in. gap
At a temperature of 60°F, a 0.04-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; a = 12.3 × 106/°F] bar with a width of 3 in. and a thickness of 0.75 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; a = 8.9 x 10-6/°F] bar with a width of 2 in. and a thickness of 0.75 in. The supports at A and C are rigid. Determine the lowest temperature at which the two bars contact each other. (1) 3 in. 32 in. O 80.1°F O 118.6°F O 150.7°F O 132.9°F O 110.9°F B 2 in. 44 in. 0.04-in. gap
At a temperature of 60°F, a 0.04-in. gap exists between the ends of the two bars shown in the figure. Bar (1) is an aluminum alloy (E-10,000 ksi; u= 0,32; a= 12.5 x10°/°F] bar with a width of 3 in, and a thickness of 0.75 in. Bar (2) is a stainless steel |E-28,000 ksi; u=0.12; a=9.6x10°/°F] bar with a width of 2 in. and a thickness of 0.75 in. The supports at A and C are rigid. Determine the normal stress in bar (1) at a temperature of 450°F
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/℃
At a temperature of 60°F, a 0.04 in. gap exists between the ends of the two bars shown in the figure. Bar (1) is an aluminum alloy [E=10000 ksi; v=0.32; a= 12.5 x10^-6/,°F] bar with a width of 3 in. and a thickness of 0.75 in. Bar (2) is a stainless steel [E= 28000 ksi; v=0.12; a=9.6x10^-6/°F] bar with a width of 2 in and a thickness of 0.75 in. The supports at A and C are rigid. Determine the normal stress in bar (1) at a temperature of 380°F. Answer in ksi
The length of the assembly shown below decreases by 0.5 mm when an axial force is applied by means of rigid end plates. Determine (a) the magnitude of the applied force, (b) the corresponding stress in the brass core. 25 mm Brass core E = 105 GPa Aluminium shell E-70 GPa 300 mm 60 mm
A steel bar is connected to an aluminum bar as shown below. At 70 F, the stresses in the steel and the aluminum bars are zero. Calculate the stresses in the steel and in the aluminum when the temperature rises to 120 F. Indicate whether the stresses are tensile or compressive. The properties of the steel and the aluminum are given below. The cross-sectional areas of the steel and the aluminum are the same.
Determine ratio of axial deformation of steel to aluminum
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 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 0.0058mm