A cantilever is subjected to a uniformly distributed load as shown in the figure below 9...
1.A cantilever AD is subjected to a pure moment wa at B and uniformly distributed load of intensity w along AB and BC and as shown in Figure 1. The beam has constant EI. Ignore the weight of the beanm (a)Determine the reaction forces at the fixed end D. (6 marks) (b) Express the elastic curve of the beam in terms of EI, w, a and x. (14 marks) (c)Determine the allowable intensity w if the deflection at A is...
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...
2. A flexible L-shape shown figure below, subjected to a uniformly distributed load of q = 60 kN/m2 to the underlying ground. Determine the increase in vertical stress, at a depth of z = 4 m under points A, B, and C. Q2. A flexible L-shape shown figure below, subjected to a uniformly distributed load of q - 60 kN/m2 to the underlying ground. Determine the increase in vertical stress, depth of z 4 m under points A, B, and...
I need help with this problem. A cantilever beam is subjected to a linearly distributed load, with W, = 10 kN/m and to an inclined point load F equal to 20 kN, as shown in the figure. The length of the beam is L=10 m. Make a cut at distance x from the free end of the cantilever, as shown in the figure, and use the method of sections to derive expressions for the internal resultant loadings at the cross-section...
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...
The Beam shown will be subjected to a concentrated live load of 100kN, a uniformly distributed live load of 50kN/m and a uniformly distributed dead load of 20kN/m. 45.) determine the maximum reaction at B 46.) determine the maximum positive shear at C 47.) determine the maximum negative moment at B The beam shown will be subjected to a concentrated live load of 100 KN, a uniformly distributed live load of 50 kN/m and a uniformly distributed dead load of...
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...
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...
QUESTION3 As shown in Figure Q3, a cantilever beam ABCD is used to support uniform load 4 KN/m along span BC and momvent at point A. U'sing Macaulay's method, L express the deflection of the beam stiffness in terms of E 6 marks) ii. determine the deflection at point C, and (2 marks) ili. calculate the slope at end A (2 marks) 3 kNm Figure QWRajah S3 QUESTION3 As shown in Figure Q3, a cantilever beam ABCD is used to...
(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...