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 ( 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...
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...
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...
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) =...
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....
ME2045 Figure Q1 shows a schematic of a simple sprung beam. It is simply supported at each end, L long and has stiffness El and is subjected to an upward load of F, 1. the way from the left hand support. a) Evaluate a step function based equation for the beam as a function of z, the position along the beam. 17] b) By integrating this equation determine an expression for the deflection of the beam as a function of...
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
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...
4. For a simply supported beam AB with concentrated load at C, determine step-by-step (a) the graph for bending moment, (b) the elastic curve y(x) for 0<x< Land (b) the deflection at point C. The length of the beam L-a+b.
Solve equation (4) in Section 5.2 FIdywx) dxA (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) wo, 0 < x < L. усх) (b) Use a graphing utility to graph the deflection curve when wo 48EI and L = 1. = y y 0.2 0.4 0.6 0.8 1,0 0.2 0.4 0.6 0.8...