A cantilever beam AB is subjected to a triangle loading with concentrated moment (see figure). The...
Acantilever beam AB is subjected to a triangle loading with concentrated moment (see figure). The moment curvature equation is shown (from the left). (El=constant) 1. Determine the deflection at point A. 2. Determine the rotation at point A. 3 kN/m 15 kN-m B 6 m d2v EI dx- 5x3 3 --x2 - 15 6 2
A simply supported beam AB is subjected to a triangle loading (see figure). The moment curvature equation is shown (from the left). The (El=constant) 1. Determine the deflection at middle beam. 2. Determine the rotation at middle beam. 2 kN/m A B 4 m d2v x3 ΕΙ = dx? 12 -x2+1
A simply supported beam AB is subjected to a triangle loading (see figure). The moment curvature equation is shown (from the left). The (El=constant) 1. Determine the deflection at middle beam. 2. Determine the rotation at middle beam. 2 kN/m A B 4 m 8 d2v EI dx2 x3 12 *+z*
A simply supported beam AB is subjected to a triangle loading (see figure). The moment curvature equation is shown (from the left). The (El-constant) 1. Determine the deflection at middle beam. 2. Determine the rotation at middle beam. 2 kN/m A B 4.m x3 EI dx2 = - 2 COM MacBook Air 20 COD F4 FS F6 ►II # $ دیا 4 % 5 6 & 7 8 9
A simply supported beam AB is subjected to a triangle loading (see figure). The moment curvature equation is shown (from the left). The (El-constant) 1. Determine the deflection at middle beam. 2. Determine the rotation at middle beam. 2 kN/m B 4 m 8 EI 12 MacBook Air DOO 008 A tA % A - 5 & 7 6 I 0 * 8 9 R T
8. The cantilever beam in Figure Q8 subjects to concentrated loading. The cross section geometry gives the second moment of area / 100 x 10 m. The longitudinal geometry of the beam: a 2 m, b 1 m. The material of the beam: Young's modulus E 200 GPa. The loading: concentrated force P 10 KN. (a) Determine the reactions to the beam at the fixed end. (b) Determine the rotation angle at point x-a (c) (Determine the deflection at the...
Q5. The cantilever beam, AC, is subjected to the load case shown in Figure 5. For the loading shown, do the following: [10 Marks] a) Calculate the magnitude and direction of the reactions at A b) Using the Macaulay function, determine the displacement in y of the point B of the beam (x 2.4 m from the support at A) [10 Marks] c) Determine the slope at B. [5 Marks] The beam has a Young's modulus of E-200 GPa and...
(a) A cantilever beam shown in Figure 6 is subjected to a concentrated load P. Deflection of the beam at each point can be defined by the following equations: 6EI Pa 6EI F3x-a) for axx<l The following MATLAB code calculates and plots the deflection diagram for a beam with 1-4 m, d1 = 3 m, b = 1 m,E>210 x 10, Pa, 1 = 285 x 10-6 m4 and P = 20 kN. Find at least FOUR errors in the...
Problem 6: The cantilever beam shown below has a constant El-10.000 kN·m2 and is subjected to a moment couple at B. Use the double integration method to compute the vertical deflection of the beam at free end A 100 kN-m 2 m
Strength of Materials IV 9.2-5 The defiuction curve for a cantilever beam AB (see fgure) is given b 120LEI Describe the load acting on the beam. 2 .3-6 Calculate the maximum deflection dma of a uniformly loaded simple beam if the span length L 5 2.0 m, the intensity of the uniform load g 5 2.0 kN/m, and the maximum bending stress s 5 60 MPa. rn X The cross section of the beam is square, and the material is...