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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 =...
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...
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: 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 (x0) and simply supported on its right (L). Suppose the load on it is w(x) - wo- Compute...
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) =...
The equation of the elastic curve (deflection) for a simply supported beam under uniform load is...
The equation of the elastic curve (deflection) for a simply supported beam under uniform load is given by y= 1.7 * 10^-5 x^2 (160 - x^2 + x^3), in which, x is the distance from the left support of the beam to any point on the beam, and y is the deflection, both in meters. Find the rate of change of the deflection of the elastic curve at x m = 2
The simply supported beam of length L is subjected to uniformly distributed load of w and...
The simply supported beam of length L is subjected to uniformly distributed load of w and a vertical point load P at its middle, as shown in Figure Q3. Both young's modulus and second moment of area of this structure are given as E and I. Please provide your answers in terms of letters w, P,L,1, E. Self-weight of the beam is neglected. P W L/2 L/2 Figure Q3 (a) Determine the reactions, bending moment equation along the beam and...
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...
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 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...
2. The governing differential equation that relates the deflection y of a beam to the load w ia w...
2. The governing differential equation that relates the deflection y of a beam to the load w ia where both y and w are are functions of r. In the above equation, E is the modulus of elasticity and I is the moment of inertia of the beam. For the beam and loading shown in the figure, first de m, E = 200 GPa, 1 = 100 × 106 mm4 and uo 100 kN/m and determine the maximum deflection. Note...
3. Determine the shape of the deflection curve of a uniform horizontal beam of length L and weight per unit length...
3. Determine the shape of the deflection curve of a uniform horizontal beam of length L and weight per unit length w that is fixed (horizontally) at the right end a1 and simply supported at the left end z = 0.
3. Determine the shape of the deflection curve of a uniform horizontal beam of length L and weight per unit length w that is fixed (horizontally) at the right end a1 and simply supported at the left end z...
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: 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 (x0) and simply supported on its right (L). Suppose the load on it is w(x) - wo- Compute...
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) =...
The simply supported beam of length L is subjected to uniformly distributed load of w and a vertical point load P at its middle, as shown in Figure Q3. Both young's modulus and second moment of area of this structure are given as E and I. Please provide your answers in terms of letters w, P,L,1, E. Self-weight of the beam is neglected. P W L/2 L/2 Figure Q3 (a) Determine the reactions, bending moment equation along the beam and...
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...
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...
2. The governing differential equation that relates the deflection y of a beam to the load w ia where both y and w are are functions of r. In the above equation, E is the modulus of elasticity and I is the moment of inertia of the beam. For the beam and loading shown in the figure, first de m, E = 200 GPa, 1 = 100 × 106 mm4 and uo 100 kN/m and determine the maximum deflection. Note...
3. Determine the shape of the deflection curve of a uniform horizontal beam of length L and weight per unit length w that is fixed (horizontally) at the right end a1 and simply supported at the left end z = 0.
3. Determine the shape of the deflection curve of a uniform horizontal beam of length L and weight per unit length w that is fixed (horizontally) at the right end a1 and simply supported at the left end z...
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