1. Determine the equations for displacement of the beam under the loading conditions shown as a function of x, L, E, I, and P. Specify the beam's maximum deflection. Assume x<L 1. Det...
y P = 35 lips С For the beam and loading shown, determine the deflection at point C. Use E = 29 10° psi. W14 X 30 a L = 15 ft [x = 1, y = 0] [x = 0, y = 0] [x = 0, y = y] dy dy dx dx Ya a 2 ft What is the deflection of the beam at point (in inches)?
Q1. deflection at point C For the beam and loading shown, determine (a) the reaction at point A, (b) the Use E-29*106 psi and I=156 in2 9 kips/ft A C w12 x 22 -6 ft 6 ft Q1. deflection at point C For the beam and loading shown, determine (a) the reaction at point A, (b) the Use E-29*106 psi and I=156 in2 9 kips/ft A C w12 x 22 -6 ft 6 ft
2. For the beam and loading shown, determine the slope and deflection at point B. Where: w = 2 kN/m, L = 2 m, E = 200 GPa, and I = 1.708 x 10 m. B 1/2- 1/2
For the beam and loading shown in the figure, integrate the load distribution to determine the equation of the elastic curve for the beam, and the maximum deflection for the beam. Assume that EI is constant for the beam. Assume EI=25000 kN⋅m2, L=2.4 m, and w0=61 kN/m. (a) Use your equation for the elastic curve to determine the deflection at x=1.5 m. Enter a negative value if the deflection is downward, or a positive value if it is upward. (b)...
For the loading shown in the below figure, knowing that wo 2 kN/m, the length of the beam is L 2 m, and the bending rigidity EI-204 kN-m2, a) Find the deflection equation for the beam by integration. Clearly specify the conditions to determine the constants of integration b) Find the vertical force needed at point A to prevent vertical displacement at point A (v(0)-0) c) Find the moment needed at point A to have zero slope at point A...
Problem statement Beam Deflection: Given the elastic deflection equation for a beam with the boundary and loading conditions shown below, determine the maximum downward deflection (i.e. where dy/dx = 0) of a beam under the linearly increasing load wo = 10 kN/m. Use the following parameter values: L = 10m, E = 5x108 kN/m², 1 = 3x10-4 m4. Use the initial bracket guesses of XL = 0 m and xu = 10 m. Wo. wol(x5 + 2L?x3 – L^x), (1)...
Problem 5: Determine the equations of the elastic curve, v(x), for the beam using the xi and x2 coordinates Specify the beam's maximum deflection. El is constant. x1 2 2a
Check my work For the cantilever beam and loading shown, determine the slope and deflection at end C. Use P = 9 kN and E= 200 GPa. (Round the final answers to two decimal places.) P Р B I A $100 X 11.5 -0.75 m 0.5 m The slope at end Cis The deflection at end Cis x 10m rad . -3 mm.
2. For the cantilever beam and loading 165 GPa. Shown, calculate the maximum deflection of the beam. Use E- cal 26 kN/m W250 x 28.4 s kN 2.2 m 0.5 m
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...