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blem 5 (25 points): Consider the system of bars shown below. Bars AB, CD, and EF...
The rigid beam in (Figure 1) is supported by the three suspender bars. Bars AB and EF are made of aluminum and bar CD is made of steel.
The rigid beam in (Figure 1) is supported by the three suspender bars. Bars AB and EF are made of aluminum and bar CD is made of steel. Part A If each bar has a cross-sectional area of \(480 \mathrm{~mm}^{2}\), determine the maximum value of \(P\) if the allowable stress is \(\left(\sigma_{\text {allow }}\right)_{\text {st }}-190 \mathrm{MPa}\) far the steel and \(\left(\sigma_{\text {allow }}\right)_{\text {al }}-150 \mathrm{MPa}\) for the aluminum. \(E_{\text {st }}-200 \mathrm{GPa}, E_{\text {al }}-70 \mathrm{GPa}\).
Determine the nodal displacements and reaction forces using the finite element direct method for the 1-D bar elements connected as shown below.
Determine the nodal displacements and reaction forces using the finite element direct method for the 1-D bar elements connected as shown below. Do not rename the nodes or elements when solving. Assume that the bars can only undergo translation in x (1 DOF at each node). Nodes 1 and 3 are fixed Element 1 has Young's Modulus of 300 Pa, length of 1 m and cross-sectional area of 1 m2. Element 2 has Young's Modulus of 200 Pa, length of 2...
0.7 mm 6 BL Problem 3 - Thermal Stress (25 pts) The center rod CD of...
0.7 mm 6 BL Problem 3 - Thermal Stress (25 pts) The center rod CD of the assembly is heated from T, = 25°C to T2 = 200°C using electrical resistance heating. At the lower temperature T, the gap between C and the rigid bar is 0.7 mm. Determine the force in the rods AB and EF caused by the increase in temperature. Rods AB and EF are made of steel, and each has a cross-sectional area of 125 mm²....
Problem 3. (3 points). Determine the nodal displacements and reaction forces using the finite element direct...
Problem 3. (3 points). Determine the nodal displacements and reaction forces using the finite element direct method for the 1-D bar elements connected as shown below. Do not rename the nodes or elements when solving. Assume that the bars can only undergo translation in x (1 DOF at each node). Nodes 1 and 3 are fixed. Element 1 has Young's Modulus of 300 Pa, length of 1 m and cross-sectional area of m. Element 2 has Young's Modulus of 200...
A rigid beam BCD is supported on a roller support at C (4m from B) and has two bars AB and DE attached at each end
A rigid beam BCD is supported on a roller support at C (4m from B) and has two bars AB and DE attached at each end. The bars can carry either tension or compressive forces. The rigid beam carries a UDL of I kN/m across BC and a point load of P at D as shown in the figure above. The length of the two bars is 3000 mm. The elastic modulus of both bars is 200 GPa and the...
Bars A and B in the mechanism shown are made of steel with a modulus of...
Bars A and B in the mechanism shown are made of steel with a modulus of elasticity E = 200 GPa, a cross-sectional area of A = 100 mm?, and a length L = 2.5 m. The applied force F = 10 kN. (a) Write the equations of equilibrium for the horizontal bar. (b) Determine the forces in bars A and B. (c) Find the axial stress in bars A and B. to 2.0 m 3.0 m ** 1.5 m...
The center rod CD of the assembly is heated from T1 = 30 °C to T2...
The center rod CD of the assembly is heated from T1 = 30 °C to T2 = 185 °C using electrical resistance heating. At the lower temperature Ti the gap between C and the rigid bar is 0.7 mm. Rods AB and EF are made of steel, and each has a cross- sectional area of 125 mm². CD is made of aluminum and has a cross-sectional area of 375 mm². Est = 200 GPa, Eal = 70 GPa, and @al...
PROBLEMS The pin-connected structure is loaded as wn in Figure 5. Bar CD is rigid, and...
PROBLEMS The pin-connected structure is loaded as wn in Figure 5. Bar CD is rigid, and is horizontal before load P is applied. Bar A is made of alumimm 0:- 75 GPa, cross-sectional area-1000 mm2 Bar Bis made of structural steel (E-200 GPa, cross sectional area- 500 20m P150N (a) (15 points) Draw the free body diagram for bar CD, and write down (but do not solve) the equations of static equilibrium for the stracture. (b) (5 points) Is it...
5. Determine the force in bars AB, BC, CD, and EF for the truss shown. Indicate...
5. Determine the force in bars AB, BC, CD, and EF for the truss shown. Indicate if the bars are in tension or compression. The constraint at A is a pin and the constraint at M is a roller. 15 kip 15 kip Share Km 9 ft ft 9 ft-qan 9 ft maffam 9 ft --
3 3. (25 pts.) A system of bars consists of a steel bar (AB) and an...
3 3. (25 pts.) A system of bars consists of a steel bar (AB) and an aluminum bar (BC). Bar AB has a cross-section of 2 inches by 0.75 inches and has a modulus of elasticity of 29000 ksi and a coefficient of thermal expansion of 6.5x10-6 /F. Bar BC has a cross-section of 3 inches by 0.75 inches and has a modulus of elasticity of 10600 ksi and a coefficient of thermal expansion of 12.8x106/F. A gap of 0.03...
Determine the nodal displacements and reaction forces using the finite element direct method for the 1-D bar elements connected as shown below. Do not rename the nodes or elements when solving. Assume that the bars can only undergo translation in x (1 DOF at each node). Nodes 1 and 3 are fixed Element 1 has Young's Modulus of 300 Pa, length of 1 m and cross-sectional area of 1 m2. Element 2 has Young's Modulus of 200 Pa, length of 2...
0.7 mm 6 BL Problem 3 - Thermal Stress (25 pts) The center rod CD of the assembly is heated from T, = 25°C to T2 = 200°C using electrical resistance heating. At the lower temperature T, the gap between C and the rigid bar is 0.7 mm. Determine the force in the rods AB and EF caused by the increase in temperature. Rods AB and EF are made of steel, and each has a cross-sectional area of 125 mm²....
Problem 3. (3 points). Determine the nodal displacements and reaction forces using the finite element direct method for the 1-D bar elements connected as shown below. Do not rename the nodes or elements when solving. Assume that the bars can only undergo translation in x (1 DOF at each node). Nodes 1 and 3 are fixed. Element 1 has Young's Modulus of 300 Pa, length of 1 m and cross-sectional area of m. Element 2 has Young's Modulus of 200...
Bars A and B in the mechanism shown are made of steel with a modulus of elasticity E = 200 GPa, a cross-sectional area of A = 100 mm?, and a length L = 2.5 m. The applied force F = 10 kN. (a) Write the equations of equilibrium for the horizontal bar. (b) Determine the forces in bars A and B. (c) Find the axial stress in bars A and B. to 2.0 m 3.0 m ** 1.5 m...
The center rod CD of the assembly is heated from T1 = 30 °C to T2 = 185 °C using electrical resistance heating. At the lower temperature Ti the gap between C and the rigid bar is 0.7 mm. Rods AB and EF are made of steel, and each has a cross- sectional area of 125 mm². CD is made of aluminum and has a cross-sectional area of 375 mm². Est = 200 GPa, Eal = 70 GPa, and @al...
PROBLEMS The pin-connected structure is loaded as wn in Figure 5. Bar CD is rigid, and is horizontal before load P is applied. Bar A is made of alumimm 0:- 75 GPa, cross-sectional area-1000 mm2 Bar Bis made of structural steel (E-200 GPa, cross sectional area- 500 20m P150N (a) (15 points) Draw the free body diagram for bar CD, and write down (but do not solve) the equations of static equilibrium for the stracture. (b) (5 points) Is it...
5. Determine the force in bars AB, BC, CD, and EF for the truss shown. Indicate if the bars are in tension or compression. The constraint at A is a pin and the constraint at M is a roller. 15 kip 15 kip Share Km 9 ft ft 9 ft-qan 9 ft maffam 9 ft --
3 3. (25 pts.) A system of bars consists of a steel bar (AB) and an aluminum bar (BC). Bar AB has a cross-section of 2 inches by 0.75 inches and has a modulus of elasticity of 29000 ksi and a coefficient of thermal expansion of 6.5x10-6 /F. Bar BC has a cross-section of 3 inches by 0.75 inches and has a modulus of elasticity of 10600 ksi and a coefficient of thermal expansion of 12.8x106/F. A gap of 0.03...
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