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for 60,000 the 1D bar shown with an elastic modulus of 200 GPa, cross-sectional area of...
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...
Two samples made from a material with elastic modulus E 200 GPa are subjected to four...
Two samples made from a material with elastic modulus E 200 GPa are subjected to four loading conditions by applying a force F 20 kN. The first sample is a solid circular bar with a 4 cm diameter. The second sample is another circular 4 cm bar, but with a 3 cm diameter hole bored down the centerline. The undeformed (original) length of both samples is Lo 80 cm ne any stresses are below the elastic limit for the material....
blem 5 (25 points): Consider the system of bars shown below. Bars AB, CD, and EF...
blem 5 (25 points): Consider the system of bars shown below. Bars AB, CD, and EF are connected d link BED. Determine the horizontal displacement of point F B by a rigid . Bar AB has a cross-sectional area of 0.012 m2, a Young's modulus of 200 GPa, and a length of 0.34 m. . Bar CD has a cross-sectional area of 0.010 m2, a Young's modulus of 200 GPa, and a length of 034 m . Bar EF has...
Question 1 (10 marks) Consider the bar element shown in Figure 1. Cross sectional area A...
Question 1 (10 marks) Consider the bar element shown in Figure 1. Cross sectional area A = 200 mm and Young's modulus E = 200 x 107 kPa. If u = 3 mm and u2 = 2 mm, determine: (a) the displacement at point P, (b) the strain, (c) the stress, and (d) the strain energy in the element. U] U2 x = 400 mm xi = 200 mm x2 = 700 mm Figure 1 EAL 2 Note: the strain...
Problem 1 Consider the bar shown below with a cross-sectional area A, 1.2 m2, and Young's...
Problem 1 Consider the bar shown below with a cross-sectional area A, 1.2 m2, and Young's modulus E-200 X 109 Pa. Ifq,-0.02 m and q,-0.025 m determine the following (by hand calculation) (a) the displacement at point P., (b) the strain E and stress σ (e) the element stiffness matrix, and (d) the strain energy in the element 91 *p 20 m x,-15 m x,-23 m Problem 2. Consider a finite element with shape functions N1) and N2(Š) used to...
The A992 steel rod is subjected to the loading shown. If the cross-sectional area of the...
The A992 steel rod is
subjected to the loading shown. If the cross-sectional area of the
rod is 100 mm2. Neglect the size of the couplings at B and C. The
elastic modulus and yield stress of A992 steel is 200 GPa and 345
MPa respectively. Determine the displacement of B and A with
respect to point D. (Preserve 2 significant digits after the
decimal point.)
QUESTION 1 The 1992 steel rod is subjected to the loading shown. If the...
5) Consider a bar shown below. Cross-sectional area Ae = 1.2 in., and Young's modulus E...
5) Consider a bar shown below. Cross-sectional area Ae = 1.2 in., and Young's modulus E = 35 x 106 psi. If ui = 0.02 in, and u2 = 0.025 in., considering linear interpolation, determine the following: (a) the displacement at point P; (b) the strain & and stress o; and (c) the element stiffness matrix. u2 2 x = 20 in. x = 15 in. X = 23 in.
An aluminium bar with a cross-sectional area of 750 mm2 is loaded as shown. What is...
An aluminium bar with a cross-sectional area of 750 mm2 is loaded as shown. What is the total change in length of the bar? EA 70 x 106 KN/m2 12 kN 2 kN 4 kN 6 kN 2m ..壮一ー2.5 m PROB. 118
(a) Bar A has a cross-sectional area of 0.04 m2, mod ulus of elasticity E 70...
(a) Bar A has a cross-sectional area of 0.04 m2, mod ulus of elasticity E 70 GPa, and coefficient of thermal 6 oC-1. Bar B has a cross-sectional 14 x 10 expansion a area of 0.01 m2, modulus of elasticity E 120 GPa, and co efficient of thermal expansion a 16 x 10 6 oct I. There is a gap b 0.4 mm between the ends of the bars. What minimum increase in the temperature of the bars above their...
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 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...
Two samples made from a material with elastic modulus E 200 GPa are subjected to four loading conditions by applying a force F 20 kN. The first sample is a solid circular bar with a 4 cm diameter. The second sample is another circular 4 cm bar, but with a 3 cm diameter hole bored down the centerline. The undeformed (original) length of both samples is Lo 80 cm ne any stresses are below the elastic limit for the material....
blem 5 (25 points): Consider the system of bars shown below. Bars AB, CD, and EF are connected d link BED. Determine the horizontal displacement of point F B by a rigid . Bar AB has a cross-sectional area of 0.012 m2, a Young's modulus of 200 GPa, and a length of 0.34 m. . Bar CD has a cross-sectional area of 0.010 m2, a Young's modulus of 200 GPa, and a length of 034 m . Bar EF has...
Question 1 (10 marks) Consider the bar element shown in Figure 1. Cross sectional area A = 200 mm and Young's modulus E = 200 x 107 kPa. If u = 3 mm and u2 = 2 mm, determine: (a) the displacement at point P, (b) the strain, (c) the stress, and (d) the strain energy in the element. U] U2 x = 400 mm xi = 200 mm x2 = 700 mm Figure 1 EAL 2 Note: the strain...
Problem 1 Consider the bar shown below with a cross-sectional area A, 1.2 m2, and Young's modulus E-200 X 109 Pa. Ifq,-0.02 m and q,-0.025 m determine the following (by hand calculation) (a) the displacement at point P., (b) the strain E and stress σ (e) the element stiffness matrix, and (d) the strain energy in the element 91 *p 20 m x,-15 m x,-23 m Problem 2. Consider a finite element with shape functions N1) and N2(Š) used to...
The A992 steel rod is
subjected to the loading shown. If the cross-sectional area of the
rod is 100 mm2. Neglect the size of the couplings at B and C. The
elastic modulus and yield stress of A992 steel is 200 GPa and 345
MPa respectively. Determine the displacement of B and A with
respect to point D. (Preserve 2 significant digits after the
decimal point.)
QUESTION 1 The 1992 steel rod is subjected to the loading shown. If the...
5) Consider a bar shown below. Cross-sectional area Ae = 1.2 in., and Young's modulus E = 35 x 106 psi. If ui = 0.02 in, and u2 = 0.025 in., considering linear interpolation, determine the following: (a) the displacement at point P; (b) the strain & and stress o; and (c) the element stiffness matrix. u2 2 x = 20 in. x = 15 in. X = 23 in.
An aluminium bar with a cross-sectional area of 750 mm2 is loaded as shown. What is the total change in length of the bar? EA 70 x 106 KN/m2 12 kN 2 kN 4 kN 6 kN 2m ..壮一ー2.5 m PROB. 118
(a) Bar A has a cross-sectional area of 0.04 m2, mod ulus of elasticity E 70 GPa, and coefficient of thermal 6 oC-1. Bar B has a cross-sectional 14 x 10 expansion a area of 0.01 m2, modulus of elasticity E 120 GPa, and co efficient of thermal expansion a 16 x 10 6 oct I. There is a gap b 0.4 mm between the ends of the bars. What minimum increase in the temperature of the bars above their...
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...
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