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(a) Bar A has a cross-sectional area of 0.04 m2, mod ulus of elasticity E 70...
Question 3 The structure shown in Figure Q(3) is a two-bar truss with spring support. Both bars have modulus of elasticity and cross-sectional area of E- 210 GPa and A -5.0 x10 m. Bar one has...
Question 3 The structure shown in Figure Q(3) is a two-bar truss with spring support. Both bars have modulus of elasticity and cross-sectional area of E- 210 GPa and A -5.0 x10 m. Bar one has a length of 5 m and bar two a length of 10 m. The spring stiffness is k -2000 kN/m. CVE 4303(F) Page 2 of 4 Determine (a) the stiffness matrix for each of the three elements (15 marks) (b) the normal stresses in...
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...
A system of bars consists of a steel bar (AB) and an aluminum bar (BC). Bar...
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
12.8X10-6 /F. A gap of 0.03 inches exists between...
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...
A rod with cross-sectional area of 100mm2 is stretched between two fixed points such that the...
A rod with cross-sectional area of 100mm2 is stretched between two fixed points such that the initial tensile load is 10kN. The rod has a modulus of elasticity equal to 180 GPa and a coefficient of linear expansion of 0.00001m/m-C. The initial tension is designed such that the rod will have zero stress when there is a certain change n temperature of the rod environment. What is the temperature (in C, 2 decimal places)?
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 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...
A rod with cross-sectional area of 1002 is stretched between two fixed points such that the...
A rod with cross-sectional area of 1002 is stretched between two fixed points such that the initial tensile load is 10kN. The road has a modulus of elasticity equal to 180GPa and a coefficient of linear expansion of 0.00001m/m-°C. The initial tension is designated such that the rod will have a zero stress when there is a certain change in temperature of the rod environment. What is the temperature (in °C, 2 decimal places)?
1. A wire 2.0 m long and cross sectional area of 10-6 m2 is stretched 1.0...
1. A wire 2.0 m long and cross sectional area of 10-6 m2 is stretched 1.0 mm by a force of 50.0 N. Calculate: (a) The stress. (5.0 x 107 N/m2 ) (b) The strain. (5.0 x 10-4 ) (c) Young’s modulus of elasticity. (1.0 x 1011 N/m2) (d) The energy stored in the wire. (0.025 J)
L Two bars, A and B, each of length 2.0 m and cross sectional area 1.0...
L Two bars, A and B, each of length 2.0 m and cross sectional area 1.0 m2, are placed end to end as shown in the figure. The thermal conductivities of the bars are ka 439 Ms-m-K) and ks # 887 J/(s-m-K), respectively. The left end of bar A is maintained at 373 K while the rnight end of B is maintained at 273 K. 373 K 273 K (a) What is the temperature at the interface between A and...
Question 3 The structure shown in Figure Q(3) is a two-bar truss with spring support. Both bars have modulus of elasticity and cross-sectional area of E- 210 GPa and A -5.0 x10 m. Bar one has a length of 5 m and bar two a length of 10 m. The spring stiffness is k -2000 kN/m. CVE 4303(F) Page 2 of 4 Determine (a) the stiffness matrix for each of the three elements (15 marks) (b) the normal stresses in...
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...
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
12.8X10-6 /F. A gap of 0.03 inches exists between...
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...
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 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...
L Two bars, A and B, each of length 2.0 m and cross sectional area 1.0 m2, are placed end to end as shown in the figure. The thermal conductivities of the bars are ka 439 Ms-m-K) and ks # 887 J/(s-m-K), respectively. The left end of bar A is maintained at 373 K while the rnight end of B is maintained at 273 K. 373 K 273 K (a) What is the temperature at the interface between A and...
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