MATLAB CODE
clc
clear all
%Given
L=500;
E=35000;
I=35000;
wo=2.75;
x=0:20:500;
Y=(wo./(120*E*I*L)).*(2*L.^2.*x.^3-x.*L^4-x.^5); %Given deflection
eq.
S=(wo./(120*E*I*L)).*(6*L^2.*x.^2-L^2-5*x.^4); %Slope equation hand
calculation
M=(wo./(120*E*I*L)).*(12*L^2.*x-20*x.^3); %Moment equation hand
calculation
SF=(wo./(120*E*I*L)).*(12*L^2-60*x.^2); %Shear equation force hand
calculation
subplot(2,2,1)
plot(x,Y)
axis([0 500 min(Y) max(Y)])
title('Deflection')
subplot(2,2,2)
plot(x,S)
axis([0 500 min(S) max(S)])
title('Slope')
subplot(2,2,3)
plot(x,M)
axis([0 500 min(M) max(M)])
title('Moment')
subplot(2,2,4)
plot(x,SF)
axis([0 500 min(SF) max(SF)])
title('Shear Force')
OUTPUT GRAPH
Need help!! 1. (25 Points) In the figure below, figure (a) shows a uniform beam subject...
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...
Case 1: Uniform beam under distributed load.In the shown Figure, a uniform beam subject to a linearly increasing distributed load. The deflection \(y(\mathrm{~m})\) can be expressed by \(y=\frac{w_{o}}{120 E I L}\left(-x^{5}+2 L^{2} x^{3}-L^{4} x\right)\)Where \(E\) is the modulus of elasticity and \(I\) is the moment of inertia \(\left(\mathrm{m}^{4}\right), L\) length of beam.Use the following parameters \(L=600 \mathrm{~cm}\), \(E=50,000 \mathrm{kN} / \mathrm{cm}^{2}, I=30.000 \mathrm{~cm}^{4}, w_{\mathrm{o}}=2.5\)\(\mathrm{kN} / \mathrm{cm}\), to find the requirements1) Develop MATLAB code to determine the point of maximum deflection...
For the loading shown in the below figure, knowing that wo 2 kN/m, the length of the beam is L 2 m, and the bending rigidity EI-204 kN-m2, a) Find the deflection equation for the beam by integration. Clearly specify the conditions to determine the constants of integration b) Find the vertical force needed at point A to prevent vertical displacement at point A (v(0)-0) c) Find the moment needed at point A to have zero slope at point A...
TODEH Figure P2.26 shuws a unilorm beam sbjest to a linearly increusing distributed kd. As depicted in Flg. P2 deflection y (m) can be computed with (+21-1) y 120EIL (a) (b) FIGURE P2.2s where E the modalus of elasticity and / the moment of inertia ( plces of the following quantities versas distance along the heans Employ this equation and calculus to penerate MATLAD displacement Qs slope 10) d mone(M) -Eld yid shear [V Eld yid, and looding wr)IEld idy...
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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...
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.
4. (25 pt.) The beam subjected to a uniform distributed load as shown in Figure 4(a) has a triangular cross-section as shown in Figure 4(b). 1) (6 pt.) Determine mathematical descriptions of the shear force function V(x) and the moment function M(x). 2) (6 pt.) Draw the shear and moment diagrams for the beam. 3) (5 pt.) What is the maximum internal moment Mmar in the beam? Where on the beam does it occur? 4) (8 pt.) Determine the absolute...
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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...