4. For the simply supported beam with uniformly distributed load wo, derive the equation for th...
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
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...
In Appendix C, see the simply supported beam with
a uniformly distributed load. Be careful with units and the sign
convention. For this calculation, the overhung part of the beam
from C to D can be ignored, and the beam is
treated as a simply supported beam of length
2L1. Be careful with units and the sign
convention.
The simply supported beam consists of a W530 × 66 structural steel
wide-flange shape [ E = 200 GPa; I = 351...
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
(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,...
16.6a) A simply supported beam is to span 15 ft. It will support a uniformly distributed load of 2 kips/ft over the full span and a concentrated load of 60 kips at mid-span. What is the required plastic section modulus Zx? (Include self-weight) 16.6b) A simply supported beam is to span 15 ft. It will support a uniformly distributed load of 2 kips/ft over the full span and a concentrated load of 60 kips at mid-span. Deflection is not to...
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
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...
2. A 30 ft long simply supported beam supports a uniformly distributed load of 2 kips/ft over the entire span. The beam and cross section are shown below. Draw the shear and moment diagrams, find the neutral axis location, moment of inertia of the composite section, the maximum bending stress on the cross section. (40 points) 10" 2 k/ft 1-3" 30'-0"