1. The beam below is supported by rollers on the left side and is fixed on...
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...
Question 3 A beam is embedded on its left side (x 0) and simply supported on its right (- L). Suppose the load on it is w(z) = uo. Compute the function of its deflection. (Note: embedded implies y(0) = 0 = y(0). Simply supported at = L implies y(L) = 0 = y"(L)).
Problem 1 A cantilever beam of length L is clamped at its left end (x = 0) and is free at its right end (x = L). Along with the fourth-order differential equation EIy(4) = w(x), it satisfies the given boundary conditions y(0) = y′(0) = 0,y′′(L) = y′′′(L) = 0. a) If the load w(x) = w0 a constant, is distributed uniformly, determine the deflection y(x). b) Graph the deflection curve when w0 = 24EI and L = 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...
Question 3 A beam is embedded on its left side ( 0) and simply supported on its right ( L). Suppose the load on it is w(x) w Compute the function of its deflection. (Note: embedded implies y(0) = 0 = y'(0). Simply supported at x = L implies y(L) = 0 = y"(L)). Question 3 A beam is embedded on its left side ( 0) and simply supported on its right ( L). Suppose the load on it is...
PLEASE PRINT YOUR ANSWER! Question 3 A beam is embedded on its left side (x0) and simply supported on its right (L). Suppose the load on it is w(x) - wo- Compute the function of its deflection. (Note: embedded implies y(0) = 0 y'(0). Simply supported at x = L implies y(L)-0-y"(L)). Question 3 A beam is embedded on its left side (x0) and simply supported on its right (L). Suppose the load on it is w(x) - wo- Compute...
Beam ABC as shown in figure 2 is supported as fixed at A, a cable tie at B and a spring at C carries a uniformly distributed load of 72 kN/m on member AB and a concentrated load of 54 kN on member BC. Using the flexibility method and neglect the axial effects in the bcam, (a) perform the global flexibility matrix of the beam structure, (b) calculate the rotation at B and displacement at C, (c) draw the deflection,...
Steel Design 3. Given a. W27X84 A992 Steel beam is simply supported over a 25' FT beam length. b. The compression flange of the beam is fully braced along the beam length. c. A uniformly distributed service dead load of 2.5 KLF. d. A uniformly distributed service live load of 3.5 KLF. e. A live load deflection limit of L/360. A dead live load deflection limit of L/240. f. Neglect the self-weight of the beam in all calculations. Determine: The...
A continuous beam ABC shown in Figure 2 is fixed at A. Supports at B and C are rollers. A uniform distributed load 40kN/m is applied force acts downward on the span of BC as shown in Figure 2. The EI of the beam is over the span of AB and a 60kN constant (a) Determine the internal moments at A and B using the slope-deflection method [10 marks] (b) Draw the bending values of bending (c) Sketch the deformed...
can you help me to do BEAM DEFLECTION lab report with data and follow all steps answe all sections below too? Thank you this is beam lab report. data below with formula the formula we need to calculation for section B fill up information for section A calculation percentage error for section C and write discussion and conclusion for section D. Beam Length [in] h=Beam cross section height [in] b=Beam cross section width [in] L =Distance between supports [in] a=Load...