A Rayleigh’s method approximation for the first flexural natural frequency of a beam that is simply supported at both ends was using the guessed shape lx^2-x^3. How many of the boundary conditions are satisfied with this guess?

Use singularity functions to obtain shear force, bending moment, and deflections of the beams for the following 2 cases

and y vs. y (phase plot) 4. Consider the deflection v of the beam to the right. The beam is supported at each end and sags due to its own weight (a distributed load q = 50 kN/m). The equation describing the deflection is d'u qx (x- L) dx 2EI where L=5.0 m, I = 0.0052 m* and E = 1.0x1010 Pa. Use the method of your choosing (shooting or finite differences) to solve for: 1) the slope at each end of the beam; 2) the maximum deflection; and 3) the location of maximum deflection.

The bending moment diagram and cross-section for a beam are shown below. Use the elastic flexural formula ox = -Mzy/l, to determine the required strength of the beam to resist the compressive stresses. Circle the correct answer for the compressive strength in ksi: 2.3, 2.5, 27.5, 30, 37.7 Show your work below. Bending Moment Diagram Beam Cross-Section 4" +50 2' (K-Fe) 2" 2" - 40 2"

Don't copy from other answers they are wrong , please solve correctly

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Draw Shear Force and Bending Moment Diagram Graphically for the following Beam

using MATLAB

For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the location of the maximum deflection, and (c) the maximum beam deflection. Assume that EI is constant for the beam. Let w = 12 kN/m, L = 6.0 m, E = 215 GPa, and I = 105 x 106 mm4.

A simply supported I-beam is loaded with a distributed load, as shown. The deflection, y, of the center line of the beam as a function of the position, x, is given by the equation: Wo L where L=4 m is the length, E=5 GPa is the elastic modulus, I=60 x 10^(-6) m^4 is the moment of inertia, and wo=20 kN/m. Find the position x where the deflection of the beam is maximum in meters. Express your answer in meters with six decimal digits after decimal point. Wox 360LEI ... y = -(7L4 – 10L²×² + 3x*)