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PLEASE PRINT YOUR ANSWER! Question 3 A beam is embedded on its left side (x0) and simply supported on its right (L). Suppose the load on it is w(x) - wo- Compute the function of its deflection. (Note...
Question 3 A beam is embedded on its left side ( 0) and simply supported on its right ( L). Suppose the load on it is w(x) w Compute the function of its deflection. (Note: embedded implies y(0) = 0 =...
Question 3 A beam is embedded on its left side ( 0) and simply supported on its right ( L). Suppose the load on it is w(x) w Compute the function of its deflection. (Note: embedded implies y(0) = 0 = y'(0). Simply supported at x = L implies y(L) = 0 = y"(L)).
Question 3 A beam is embedded on its left side ( 0) and simply supported on its right ( L). Suppose the load on it is...
Question 3 A beam is embedded on its left side (x 0) and simply supported on...
Question 3 A beam is embedded on its left side (x 0) and simply supported on its right (- L). Suppose the load on it is w(z) = uo. Compute the function of its deflection. (Note: embedded implies y(0) = 0 = y(0). Simply supported at = L implies y(L) = 0 = y"(L)).
3. A cantilever beam of length L is embedded at its right end, and a horizontal...
3. A cantilever beam of length L is embedded at its right end, and a horizontal compressive force of P pounds is applied at the free left end of the beam. When the origin is taken as its free end, the deflection of the beam can be shown to satisfy the differential equation Ely" = -Py – w(x)} Find the deflection of the cantilever beam if w(x) = Wox, 0 < x < L, and y(0) = 0, y'(L) =...
1. The beam below is supported by rollers on the left side and is fixed on...
1. The beam below is supported by rollers on the left side and is fixed on the right side. There is a linear distributed load along the length of the beam shown in figure (a) and the deflection of the beam is given and shown in figure (b). The figures are not drawn to scale. (x = L. y = 0) (x = 0, y = 0) (a) Length, L = 600 (cm) Youngs Modulus, E = 50,000 (KM) Area...
Solve equation (4) in Section 5.2 E = w(x) (4) subject to the appropriate boundary conditions....
Solve equation (4) in Section 5.2 E = w(x) (4) subject to the appropriate boundary conditions. The beam is of length L, and wo is a constant. (a) The beam is embedded at its left end and simply supported at its right end, and w(x) = wg. 0<x<L. y(x) = (b) Use a graphing utility to graph the deflection curve when wo = 48E1 and L = 1. y + 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1...
Problem 2 Consider a simply supported symmetric I beam ABCD carrying a uniformly distributed load w and a concentrated...
Problem 2 Consider a simply supported symmetric I beam ABCD carrying a uniformly distributed load w and a concentrated load F as shown in Figure 2. Young's modulus of the beam is 200 GPa F- 8 kNN 8cm 3cm 3cm w- 6 kN/m 6cm 2cm Figure 2 1) Replace the support C with the reaction force Rc, and using static equilibrium find the reactions at point A and B in terms of Ro 2) Using the boundary conditions, calculate the...
QUESTION 4 (25 marks) A simply supported beam is loaded by an uniform distributed load, wkN/m, over the span of the beam, L, as shown in Figure Q4. (a) Determine the end reactions at point A and...
QUESTION 4 (25 marks) A simply supported beam is loaded by an uniform distributed load, wkN/m, over the span of the beam, L, as shown in Figure Q4. (a) Determine the end reactions at point A and B in terms of w and L. (4 marks) (b) At an arbitrary point, x, express the internal mom (c) Show that the deflection curve of the beam under the loading situation is ent, M(x), in x, w, and L. (5 marks) 24EI...
Problem 7.5 of your textbook (Haldar & Mahadevan): A simply supported beam of span L 360 inches is loaded by a uniformly distributed load w kip/in. and a concentrated kip applied at the midspan....
Problem 7.5 of your textbook (Haldar & Mahadevan): A simply supported beam of span L 360 inches is loaded by a uniformly distributed load w kip/in. and a concentrated kip applied at the midspan. The maximum deflection of the beam at the midspan can be calculated as: mar- 384 EI 48 E A beam with El 63.51 x 106 kip-in.2 Is selected to carry the load. Both w and P are statistically independent RVs with mean values estimated to be...
Problem 1 A cantilever beam of length L is clamped at its left end (x = 0) and is free at its rig...
Problem 1 A cantilever beam of length L is clamped at its left end (x = 0) and is free at its right end (x = L). Along with the fourth-order differential equation EIy(4) = w(x), it satisfies the given boundary conditions y(0) = y′(0) = 0,y′′(L) = y′′′(L) = 0. a) If the load w(x) = w0 a constant, is distributed uniformly, determine the deflection y(x). b) Graph the deflection curve when w0 = 24EI and L = 1....
Problem 2 Consider a simply supported symmetric I beam ABCD carrying a uniformly distributed load w and a concentrated...
Problem 2 Consider a simply supported symmetric I beam ABCD carrying a uniformly distributed load w and a concentrated load F as shown in Figure 2. Young's modulus of the beam is 200 GPa. F 8 kN 8cm 3cm 3cm 7 m 5 m 3 m 2cm W= 6 kN/m 6cm A D B 2cm 7TITT TITIT Figure 2 1) Replace the support C with the reaction force Rc, and using static equilibrium find the reactions at point A and...
Question 3 A beam is embedded on its left side ( 0) and simply supported on its right ( L). Suppose the load on it is w(x) w Compute the function of its deflection. (Note: embedded implies y(0) = 0 = y'(0). Simply supported at x = L implies y(L) = 0 = y"(L)).
Question 3 A beam is embedded on its left side ( 0) and simply supported on its right ( L). Suppose the load on it is...
Question 3 A beam is embedded on its left side (x 0) and simply supported on its right (- L). Suppose the load on it is w(z) = uo. Compute the function of its deflection. (Note: embedded implies y(0) = 0 = y(0). Simply supported at = L implies y(L) = 0 = y"(L)).
3. A cantilever beam of length L is embedded at its right end, and a horizontal compressive force of P pounds is applied at the free left end of the beam. When the origin is taken as its free end, the deflection of the beam can be shown to satisfy the differential equation Ely" = -Py – w(x)} Find the deflection of the cantilever beam if w(x) = Wox, 0 < x < L, and y(0) = 0, y'(L) =...
1. The beam below is supported by rollers on the left side and is fixed on the right side. There is a linear distributed load along the length of the beam shown in figure (a) and the deflection of the beam is given and shown in figure (b). The figures are not drawn to scale. (x = L. y = 0) (x = 0, y = 0) (a) Length, L = 600 (cm) Youngs Modulus, E = 50,000 (KM) Area...
Solve equation (4) in Section 5.2 E = w(x) (4) subject to the appropriate boundary conditions. The beam is of length L, and wo is a constant. (a) The beam is embedded at its left end and simply supported at its right end, and w(x) = wg. 0<x<L. y(x) = (b) Use a graphing utility to graph the deflection curve when wo = 48E1 and L = 1. y + 0.2 0.4 0.6 0.8 1.0 0.2 0.4 0.6 0.8 1...
Problem 2 Consider a simply supported symmetric I beam ABCD carrying a uniformly distributed load w and a concentrated load F as shown in Figure 2. Young's modulus of the beam is 200 GPa F- 8 kNN 8cm 3cm 3cm w- 6 kN/m 6cm 2cm Figure 2 1) Replace the support C with the reaction force Rc, and using static equilibrium find the reactions at point A and B in terms of Ro 2) Using the boundary conditions, calculate the...
QUESTION 4 (25 marks) A simply supported beam is loaded by an uniform distributed load, wkN/m, over the span of the beam, L, as shown in Figure Q4. (a) Determine the end reactions at point A and B in terms of w and L. (4 marks) (b) At an arbitrary point, x, express the internal mom (c) Show that the deflection curve of the beam under the loading situation is ent, M(x), in x, w, and L. (5 marks) 24EI...
Problem 7.5 of your textbook (Haldar & Mahadevan): A simply supported beam of span L 360 inches is loaded by a uniformly distributed load w kip/in. and a concentrated kip applied at the midspan. The maximum deflection of the beam at the midspan can be calculated as: mar- 384 EI 48 E A beam with El 63.51 x 106 kip-in.2 Is selected to carry the load. Both w and P are statistically independent RVs with mean values estimated to be...
Problem 2 Consider a simply supported symmetric I beam ABCD carrying a uniformly distributed load w and a concentrated load F as shown in Figure 2. Young's modulus of the beam is 200 GPa. F 8 kN 8cm 3cm 3cm 7 m 5 m 3 m 2cm W= 6 kN/m 6cm A D B 2cm 7TITT TITIT Figure 2 1) Replace the support C with the reaction force Rc, and using static equilibrium find the reactions at point A and...
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