The intensity of the distributed load on the simply supported beam varies linearly from zero to w0. (a) Derive the equation of the elastic curve. (b) Find the location of the maximum deflection. Use any method.
The intensity of the distributed load on the simply supported beam varies linearly from zero to...
4. For the simply supported beam with uniformly distributed load wo, derive the equation for th elastic curve. Find the maximum deflection and its location. Wo
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
Q2. A simply supported beam AB (Figure 2) supports a uniformly distributed load of q = 18kN/m and a concentrated load of P = 23kN at the centre. Consider length of the beam, L = 3m, Young's modulus, E = 200GPa and moment of inertial, I = 30 x 10 mm-. Assume the deflection of the beam can be expressed by elastic curve equations of the form: y(x) = Ax4 + Bx3 + Cx2 + Dx + E. 1) Sketch...
(2) A simply supported beam of flexural rigidity El carries a constant uniformly distributed load of intensity p per unit length as shown Figure 2 below. Assume the deflection shape to be a polynomial in x, and is given by v (x) = a., + as+ a2 x, where ao, a.呙are constants to be determined. (a) State the boundary conditions for the deflection equation. Using the boundary conditions stated in (a) and the Rayleigh-Ritz method, determine (b) the constants a,...
4) A simply supported beam carries the distributed load shown. Determine the deflection curve by integration starting from the load equation. What are the angular deflections at A and B? jimborcan A B II
4) A simply supported beam carries the distributed load shown. Determine the deflection curve by integration starting from the load equation. What are the angular deflections at A and B? 90 А B
Figure P5.13a shows a uniform beam subject to a linearly increasing distributed load. The equation for the resulting elastic curve is (see Fig. P5.135) Use bisection to determine the point of maximum deflection (that is, the value of x where dy/dx = 0). Then substitute this value into Eq. (P5.13) to determine the value of the maximum deflection. Use the following parameter values in your com- putation: L = 600 cm, E = 50,000 kN/cm², I = 30,000 cm, and w0...
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)...
Use bisection method to determine the point of maximum deflection of the beam subject to a linearly increasing distributed load shown in the figure below (the value of x where dy/dx= 0). Then substitute this value into the equation to determine the value of the maximum deflection. Use the following parameter values in your computation: L = 600 cm, E=50,000 kN/cm2, I=30,000 cm4, and w0 =1.75 kN/cm.
The deflection of a uniform beam subject to a linearly increasing distributed load can be computed by using the following equation: y = ( 120EIL Given that L 600 cm, I 30,000 cm, wo-2500 N/cm, and E 50,000 KN/cm2 2. Develop a Matlab code that would implement the Golden-Section search method to find the maximum deflection until the error falls below 1% with initial guesses of Xi = 0 and Xu-L. Display all of the following: xl, xu, d, x1...