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 equation of the elastic curve (deflection) for a simply supported beam under uniform load is...
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...
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.
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
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...
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
7-8. An overhanging beam is supported shown functions equation of the elastic curve and deflection Using determine and loaded discontinuity the the as at point C d w AA al2 a al2- 7-8. An overhanging beam is supported shown functions equation of the elastic curve and deflection Using determine and loaded discontinuity the the as at point C d w AA al2 a al2-
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. Wo| B AL 1
a rectangular crossection beam that is simply supported on both end with a point load in the middle has a height value of h, if the height of the beam increased from h to 2h how much will the deflection under the center load change
Q3) A simply supported beam is subjected to a uniform service dead load of 2.3 kips/ft (excluding the weight of the beam), a uniform service live load of 3.0 kips/ft. The beam is 30 feet long, and deflection not to exceed L/360. The beam has continuous lateral support, and A992 steel is used. Is a W27 x 84 adequate?