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An aluminium bar with a cross-sectional area of 750 mm2 is loaded as shown. What is...
for 60,000 the 1D bar shown with an elastic modulus of 200 GPa, cross-sectional area of...
for 60,000 the 1D bar shown with an elastic modulus of 200 GPa, cross-sectional area of 12.5x10 m2, and length of 1.5 m. determine the following e(x) dx d. σ(x) o (x) dx a) Theoretical axial displacement equation based on ö(x) dx E F(x) dx EA |zE
The bar shown has a cross-sectional area of 0.001 m² and a modulus of elasticity of...
The bar shown has a cross-sectional area of 0.001 m² and a modulus of elasticity of 100 GPa. It is subjected to a uniformly distributed axial force q= 50 kN/m pointed to the left. An external axial force F= 20 kN, pointed to the left, is applied at the middle of the bar, x=L/2. a. What is the axial force P in the bar as a function of x? b. What is the bar's total change in length? ttttttttta x...
The pin-connected structure shown in Fig. 5 consists of a rigid bar ABCD and two 1,500-mm-long...
The pin-connected structure shown in Fig. 5 consists of a rigid bar ABCD and two 1,500-mm-long bars. Bar (1) is steel [E=200 GPa] with a cross-sectional area of A1 = 510 mm2. Bar (2) is an aluminium alloy [E-70 GPa] with a cross-sectional area of A2 1,300 mm2. All bars are unstressed before the load P is applied. If a concentrated load of P 200 kN acts on the structure at D determine: (a) the normal stresses in both bars...
The bronze bar 3-m long with a cross-sectional area of 350 mm2 is placed between two...
The bronze bar 3-m long with a cross-sectional area of 350
mm2 is placed between two rigid walls. At a temperature
of -20 oC, there is a gap Δ = 2.2 mm, as shown in the
figure. Use α = 18 x 10-6/ oC and E = 80 GPa.
(A)What is the increase in temperature in oC at which
the compressive stress in the bar will be 30 MPa? (B) What is the
final temperature in oC at which the...
4. A T-shaped cross-sectional beam is loaded as shown in the figure. Determine the following a....
4. A T-shaped cross-sectional beam is loaded as shown in the figure. Determine the following a. Sketch the internal shear force and bending moment diagrams for the beam. b. Calculate the maximum magnitude of the bending stress. Indicate where this occurs on the cross-section and along the length of the beam. c. Calculate the transverse shearing stress at the centroid of the cross-section using the maximum magnitude of the transverse shear force. - 200 mm 8 KN 1.5 kN/m 20...
A sample of silicon (Si) crystal has an unknown length and cross-sectional area 2.0 mm2. The...
A sample of silicon (Si) crystal has an unknown length and cross-sectional area 2.0 mm2. The conductivity is s = (4.686 x 10-6) (W-cm)-1. Calculate the length if the resistance is 106 Ohms. (5 pts.)
Link BD is made of brass (E 105 GPa) and has a cross-sectional area of 240...
Link BD is made of brass (E 105 GPa) and has a cross-sectional area of 240 mm2. Link CE is made of aluminium (E 72 GPa) and has a cross-sectional area of 300 mm2. Knowing that they support rigid member ABC, determine the maximum force P that can be applied vertically at point A if the deflection of A is not to exceed 0.36 mm. (Round the final answer to two decimal places.) 995 mm A 150 mm E 225...
Problem 2: A horizontal bar is loaded with axial loads at points B, C, and D,...
Problem 2: A horizontal bar is loaded with axial loads at points B, C, and D, as shown in the figure. The bar is made of steel with a modulus of elasticity E = 29 x 106 psi. The bar has a cross-sectional area of 10 in?. Calculate the total change in length of the bar and state if the bar will elongate or shorten. Ignore the weight of the bar (not shown). A B с D 30 in 30...
A spring loaded piston-cylinder device with a cross sectional area of 0.2 m2 contains 0.6 kg...
A spring loaded piston-cylinder device with a cross sectional area of 0.2 m2 contains 0.6 kg of air, as shown in the figure. The air initially at 100 kPa and 20°C, is heated to 450 kPa at which the piston begins to move. The process continues until the final volume is 12 times the initial volume. Calculate (a) the final temperature in kb) the work done in kJ. (the total heat transfer in this process Use the following properties for...
A 10.0 cm length of copper wire has a uniform cross-sectional area of 1.0 mm2. If...
A 10.0 cm length of copper wire has a uniform cross-sectional area of 1.0 mm2. If the drift speed of electrons in the wire is: 2.0x10-4 m/s and the electrons all move directly along the wire, what is the magnitude of the current density? What is the total current carried by the wire.
for 60,000 the 1D bar shown with an elastic modulus of 200 GPa, cross-sectional area of 12.5x10 m2, and length of 1.5 m. determine the following e(x) dx d. σ(x) o (x) dx a) Theoretical axial displacement equation based on ö(x) dx E F(x) dx EA |zE
The bar shown has a cross-sectional area of 0.001 m² and a modulus of elasticity of 100 GPa. It is subjected to a uniformly distributed axial force q= 50 kN/m pointed to the left. An external axial force F= 20 kN, pointed to the left, is applied at the middle of the bar, x=L/2. a. What is the axial force P in the bar as a function of x? b. What is the bar's total change in length? ttttttttta x...
The pin-connected structure shown in Fig. 5 consists of a rigid bar ABCD and two 1,500-mm-long bars. Bar (1) is steel [E=200 GPa] with a cross-sectional area of A1 = 510 mm2. Bar (2) is an aluminium alloy [E-70 GPa] with a cross-sectional area of A2 1,300 mm2. All bars are unstressed before the load P is applied. If a concentrated load of P 200 kN acts on the structure at D determine: (a) the normal stresses in both bars...
The bronze bar 3-m long with a cross-sectional area of 350
mm2 is placed between two rigid walls. At a temperature
of -20 oC, there is a gap Δ = 2.2 mm, as shown in the
figure. Use α = 18 x 10-6/ oC and E = 80 GPa.
(A)What is the increase in temperature in oC at which
the compressive stress in the bar will be 30 MPa? (B) What is the
final temperature in oC at which the...
4. A T-shaped cross-sectional beam is loaded as shown in the figure. Determine the following a. Sketch the internal shear force and bending moment diagrams for the beam. b. Calculate the maximum magnitude of the bending stress. Indicate where this occurs on the cross-section and along the length of the beam. c. Calculate the transverse shearing stress at the centroid of the cross-section using the maximum magnitude of the transverse shear force. - 200 mm 8 KN 1.5 kN/m 20...
Link BD is made of brass (E 105 GPa) and has a cross-sectional area of 240 mm2. Link CE is made of aluminium (E 72 GPa) and has a cross-sectional area of 300 mm2. Knowing that they support rigid member ABC, determine the maximum force P that can be applied vertically at point A if the deflection of A is not to exceed 0.36 mm. (Round the final answer to two decimal places.) 995 mm A 150 mm E 225...
Problem 2: A horizontal bar is loaded with axial loads at points B, C, and D, as shown in the figure. The bar is made of steel with a modulus of elasticity E = 29 x 106 psi. The bar has a cross-sectional area of 10 in?. Calculate the total change in length of the bar and state if the bar will elongate or shorten. Ignore the weight of the bar (not shown). A B с D 30 in 30...
A spring loaded piston-cylinder device with a cross sectional area of 0.2 m2 contains 0.6 kg of air, as shown in the figure. The air initially at 100 kPa and 20°C, is heated to 450 kPa at which the piston begins to move. The process continues until the final volume is 12 times the initial volume. Calculate (a) the final temperature in kb) the work done in kJ. (the total heat transfer in this process Use the following properties for...
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