A straight carbon steel bar is restrained at its ends. Its temperature increases by 8 °F....
A straight carbon steel bar is restrained at its ends. Its temperature increases by 8 °F. Young's modulus for this material is 200 GPa. How much stress does the bar exert on its restraints?
A. 9.6 GPa B. 1.2 GPa C. 1.6 MPa D. 9.6 MPa
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A straight carbon steel bar is restrained at its ends. Its
temperature increases by 8 °F....
Problem 4: An HSS 254x152.4x 12.7 structural steel column (see Appendix B for its cross-sectional...
please help! thank you
Problem 4: An HSS 254x152.4x 12.7 structural steel column (see Appendix B for its cross-sectional properties) is 9m long, and its ends are pinned. Its Young's modulus E-200 GPa, and its failure stress is 250 MPa. A factor of safety of 1.82 is specified for its use. a) Considering only buckling, determine the maximum compressive stress that the column can support. Considering material failure, determine the maximum compressive stress that the column can support. b) c)...
The composite bar is firmly fixed at both ends. The bar is stress-free at 60°F Compute the stress in each material after the 50-kip force 42 in is applied and the temperature is increased to 120°...
The composite bar is firmly fixed at both ends. The bar is stress-free at 60°F Compute the stress in each material after the 50-kip force 42 in is applied and the temperature is increased to 120°F. Use α-6.5 x 10-6/°F for steel and α-1 2.8 x 10-6/°F for aluminum. At what temperature will the aluminum and steel have stresses of equal magnitude after the 50-kip force is applied? Problem 4(25 Points) The rigid bar ABCD is supported by a pin...
Determine F1 in left steel bar F2 in right steel bar Normal Stress in left steel...
Determine F1 in left steel bar
F2 in right steel bar
Normal Stress in left steel bar
Normal stress in right steel bar
A = 1200 mm h2 h A = 300 mm B A 41 12 The figure above shows a rigid bar ABC, pin connected to two vertical steel bars and a pin support at B. The two steel bars have heights of h1 = 1.2 m, h2 = 1.5 m and are placed from B at distances...
4. The A-36 steel bar (coefficient of thermal expansion = 6.6x10 6/°F and modulus of elasticity...
4. The A-36 steel bar (coefficient of thermal expansion = 6.6x10 6/°F and modulus of elasticity = 29x10ksi) is constrained by two fixed supports initially at temperature 60°F. If the temperature increases to 120°F, determine the average normal thermal stress developed in the bar. (20 points) o Sin aft
A composite bar is made from two materials (shown below), is subjected to a temperature increase...
A composite bar is made from two materials (shown below), is subjected to a temperature increase of 120 °F. Complete the following. a) Provide a table showing material properties relevant to the problem (e.g. Young's Modulus etc.) b) Using information from above determine the force at the unyielding supports c) Determine the stress in each material d) Determine the displacement and final position of the common interface Common interface 6 in2 2.4 in Unyielding support Steel (4140) Unyielding support Copper...
6. If the stresses and strains at a point in a linear elastic material are given...
6. If the stresses and strains at a point in a linear elastic
material are given by
σij = ε
⎛
⎝
⎜⎜
⎞
⎠
⎟⎟
⎛
⎝
⎜⎜
⎞
⎠
⎟⎟
=
885 154 0
154 1038 615
0 615 577
0 002 0 001 0
0 001 0 003 0 004
0 0 004 0
MPa; and ij
. .
. . .
.
respectively, determine (i) the total strain energy density in the
material, (ii) the hydrostatic...
1. Consider a bar under tension. The bar has length L, rectangular cross-section of sides b...
1. Consider a bar under tension. The bar has length L, rectangular cross-section of sides b and h, Young's modulus E, density p, and applied tensile force P. a) If all parameters are fixed except for h, find the value of h that minimizes the mass of the bar under stress, elongation, and stiffness constraints. Assume safety factors oo, Os, and Ok and failure values o*, 8*, and k* b) Also find the minimum mass of the bar m under...
Ection A uestion 1 Hook's Law, state which variables are involtved it its calculation and explain...
ection A uestion 1 Hook's Law, state which variables are involtved it its calculation and explain, equations or text, how to determine it (2 marks) A1. The with a square cross-section 1 cm. Determine the direct stress test specimen is being subjected to a tensile load of 3.0 kN, as shown in figure specimen is composed of Titanium, the cylinder is being subjected to. Show your resulit in MNIm s cm Figure A1 Tensile test specimen (3 marks) c) How...
The assembly has the diameters and material makeup indicated. If it fits securely between its fixed...
The assembly has the diameters and material makeup indicated. If it fits securely between its fixed supports when the temperature is T_1 = 70 degree F, determine the average normal stress in each material when the temperature reaches T_2 = 110 degree F. The coefficients of thermal expansion are alpha_al = 12.8 Times 10^-6, alpha_BR = 9.6 Times 10^-6 and alpha_st = 9.6 Times 10^-6 1/degree F and Young's moduli are E_al = 10.6 Times 10^3 ksi, E_BR = 15...
A composite bar is made from two materials (shown below), is subjected to a temperature increase...
A composite bar is made from two materials (shown below), is subjected to a temperature increase of 120 °F. Complete the following. a) Provide a table showing material properties relevant to the problem (e.g. Young's Modulus etc.) b) Using information from above determine the force at the unyielding supports c) Determine the stress in each material d) Determine the displacement and final position of the common interface Common interface 6 in2 2.4 in Unyielding support Steel (4140) Unyielding support Copper...
please help! thank you
Problem 4: An HSS 254x152.4x 12.7 structural steel column (see Appendix B for its cross-sectional properties) is 9m long, and its ends are pinned. Its Young's modulus E-200 GPa, and its failure stress is 250 MPa. A factor of safety of 1.82 is specified for its use. a) Considering only buckling, determine the maximum compressive stress that the column can support. Considering material failure, determine the maximum compressive stress that the column can support. b) c)...
The composite bar is firmly fixed at both ends. The bar is stress-free at 60°F Compute the stress in each material after the 50-kip force 42 in is applied and the temperature is increased to 120°F. Use α-6.5 x 10-6/°F for steel and α-1 2.8 x 10-6/°F for aluminum. At what temperature will the aluminum and steel have stresses of equal magnitude after the 50-kip force is applied? Problem 4(25 Points) The rigid bar ABCD is supported by a pin...
Determine F1 in left steel bar
F2 in right steel bar
Normal Stress in left steel bar
Normal stress in right steel bar
A = 1200 mm h2 h A = 300 mm B A 41 12 The figure above shows a rigid bar ABC, pin connected to two vertical steel bars and a pin support at B. The two steel bars have heights of h1 = 1.2 m, h2 = 1.5 m and are placed from B at distances...
4. The A-36 steel bar (coefficient of thermal expansion = 6.6x10 6/°F and modulus of elasticity = 29x10ksi) is constrained by two fixed supports initially at temperature 60°F. If the temperature increases to 120°F, determine the average normal thermal stress developed in the bar. (20 points) o Sin aft
A composite bar is made from two materials (shown below), is subjected to a temperature increase of 120 °F. Complete the following. a) Provide a table showing material properties relevant to the problem (e.g. Young's Modulus etc.) b) Using information from above determine the force at the unyielding supports c) Determine the stress in each material d) Determine the displacement and final position of the common interface Common interface 6 in2 2.4 in Unyielding support Steel (4140) Unyielding support Copper...
6. If the stresses and strains at a point in a linear elastic
material are given by
σij = ε
⎛
⎝
⎜⎜
⎞
⎠
⎟⎟
⎛
⎝
⎜⎜
⎞
⎠
⎟⎟
=
885 154 0
154 1038 615
0 615 577
0 002 0 001 0
0 001 0 003 0 004
0 0 004 0
MPa; and ij
. .
. . .
.
respectively, determine (i) the total strain energy density in the
material, (ii) the hydrostatic...
1. Consider a bar under tension. The bar has length L, rectangular cross-section of sides b and h, Young's modulus E, density p, and applied tensile force P. a) If all parameters are fixed except for h, find the value of h that minimizes the mass of the bar under stress, elongation, and stiffness constraints. Assume safety factors oo, Os, and Ok and failure values o*, 8*, and k* b) Also find the minimum mass of the bar m under...
ection A uestion 1 Hook's Law, state which variables are involtved it its calculation and explain, equations or text, how to determine it (2 marks) A1. The with a square cross-section 1 cm. Determine the direct stress test specimen is being subjected to a tensile load of 3.0 kN, as shown in figure specimen is composed of Titanium, the cylinder is being subjected to. Show your resulit in MNIm s cm Figure A1 Tensile test specimen (3 marks) c) How...
The assembly has the diameters and material makeup indicated. If it fits securely between its fixed supports when the temperature is T_1 = 70 degree F, determine the average normal stress in each material when the temperature reaches T_2 = 110 degree F. The coefficients of thermal expansion are alpha_al = 12.8 Times 10^-6, alpha_BR = 9.6 Times 10^-6 and alpha_st = 9.6 Times 10^-6 1/degree F and Young's moduli are E_al = 10.6 Times 10^3 ksi, E_BR = 15...
A composite bar is made from two materials (shown below), is subjected to a temperature increase of 120 °F. Complete the following. a) Provide a table showing material properties relevant to the problem (e.g. Young's Modulus etc.) b) Using information from above determine the force at the unyielding supports c) Determine the stress in each material d) Determine the displacement and final position of the common interface Common interface 6 in2 2.4 in Unyielding support Steel (4140) Unyielding support Copper...
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