The cantilever beam consists of a rectangular structural steel tube shape [E = 190 GPa; 1= 155 × 106 mm4]. For the loading shown, determine: (a) the beam deflection VA at point A. (b) the beam deflection vg at point B. Assume P = 84 kN, Q = 35 kN, MB= 209 kN-m, w = 65 kN/m, LAB= 2.1 m, LBC= 2.8 m.
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- A fixed-end beam AB of a length L is subjected to a uniform load of intensity q acting over the middle region of the beam (sec figure). Obtain a formula for the fixed-end moments MAand MBin terms of the load q, the length L, and the length h of the loaded part of the beam. Plot a graph of the fixed-end moment MAversus the length b of the loaded part of the beam. For convenience, plot the graph in the following nondimensional form: MAqL2/l2versusbL with the ratio b/L varying between its extreme values of 0 and 1. (c) For the special case in which ù = h = L/3, draw the shear-force and bending-moment diagrams for the beam, labeling all critical ordinates.Cantilever beam AB carries an upward uniform load of intensity q1from x = 0 to L/2 (see Fig. a) and a downward uniform load of intensity q from x = L/2 to L. Find q1in terms of q if the resulting moment at A is zero. Draw V and M diagrams for the case of both q and qtas applied loadings. Repeat part (a) for the case of an upward triangularly distributed load with peak intensity q0(see Fig. b). For part (b), find q0, instead of q1Beam ACB hangs from two springs, as shown in the figure. The springs have stiffnesses Jt(and k2^ and the beam has flexural rigidity EI. What is the downward displacement of point C, which is at the midpoint of the beam, when the moment MQis applied? Data for the structure are M0 = 7.5 kip-ft, L = 6 ft, EI = 520 kip-ft2, kx= 17 kip/ft, and As = 11 kip/ft. Repeat part (a), but remove Af0 and instead apply uniform load q over the entire beam.
- A fixed-end beam AB of a length L supports a uniform load of intensity q (see figure). Beginning with the second-order differential equation of the deflection curve (the bending-moment equation), obtain the reactions, shear forces, bending moments, slopes, and deflections of the beam. Construct the shear-force and bending-moment diagrams, Labeling all critical ordinales.The figure below shows two solid homogenous rectangular beam sections with (breadth x depth) dimensions in two different orientations as follows: Beam Section Orientation A (t mm x 2t mm); and Beam Section Orientation B (2t mm x tmm). Both beams sag when subjected to the same loading and support conditions resulting in compressive stresses above the centroid line (neutral axis). Which statement accurately describes the relative maximum compressive stress (ocompression) between these beam section orientations? O a. O b. Oc tmm 2 mm Beam Section Orientation A 2tmm 7 mm Beam Section Orientation B Maximum compressive stress (compression) in orientation B is greater than orientation A by a factor of 2. Maximum compressive stress (ocompression) in orientation A is greater than orientation B by a factor of 4. Maximum compressive stress (compression) in orientation B is greater than orientation A by a factor of 4. O d. Maximum compressive stress (ocompression) in orientation A is greater than…The figure below shows two solid homogenous rectangular beam sections with (breadth x depth) dimensions in two different orientations as follows: Beam Section Orientation A (t mm x 2t mm); and Beam Section Orientation B (2t mm xt mm). Both beams sag when subjected to the same loading and support conditions resulting in compressive stresses above the centroid line (neutral axis). Which statement accurately describes the relative maximum compressive stress (ocompression) between these beam section orientations? * Maximum compressive stress (acompression) in orientation A is greater than orientation B by a factor of 4. Maximum compressive stress (acompression) in orientation B is greater than orientation A by a factor of 4. * Maximum compressive stress (acompression) in orientation B is greater than orientation A by a factor of 2. 4 Maximum compressive stress (acompression) in orientation A is greater than orientation B by a factor of 2.
- The figure below shows two solid homogenous rectangular beam sections with (breadth x depth) dimensions in two different orientations as follows: Beam Section Orientation A (t mm x 2t mm); and Beam Section Orientation B (2t mm x t mm). Both beams sag when subjected to the same loading and support conditions resulting in compressive stresses above the centroid line (neutral axis). Which statement accurately describes the relative maximum compressive stress (ocompression) between these beam section orientations? t mm 2t mm 2t mm t mm Beam Section Orientation A Beam Section Orientation B O a. Maximum compressive stress (ocompression) in orientation A is greater than orientation B by a factor of 4. O b. Maximum compressive stress (ocompression) in orientation B is greater than orientation A by a factor of 2. O c. Maximum compressive stress (ocompression) in orientation B is greater than orientation A by a factor of 4. O d. Maximum compressive stress (ocompression) in orientation A is…Hi there sir/madam I need help on this question A beam with a solid homogeneous rectangular section is simply supported at A and B. A concentrated load F = 150 kilonewtons (kN) acts at point C where distance L1 (A to C) = 2.50 metres (m) and distance L2 (C to B) = 1.65 metres (m). The dimensions of the rectangular section of the beam are breadth, b = 35 mm and depth d = 125 mm. Calculate the maximum bending stress and give your answer in N/mm2 to two decimal placesThe cantilever beam consists of a rectangular structural steel tube shape [E = 29000 ksi; /= 376 in.4]. For the loading shown, determine: (a) the beam deflection vg at point B. (b) the beam deflection vc at point C. Assume P = 11.3 kips, w = 1.1 kips/ft, LAB = 5.4 ft, LBC= 3.8 ft. A Answers: (a) VB = (b) vc= i i W LAB B in. in. LBC C X
- 3. Two beams are supported as shown in the diagram below, each 150mm x 200mm x 6 meters. Beam CD is a cantilever beam carrying a uniformly distributed load of 6 KN/m freely supported on beam AB. Beam AB is freely supported on each ends. E = 13.8 GPa for both beam. Neglect the weight of the beam. a. Compute the reaction at D. b. Compute the deflection at D. c. Compute the bending stress of beam CD. 6 ka lm бт 6m 6mA uniform beam is fixed at end x=0 and simply supported at x = L. Find the shape of the center line of the beam, given the weight per unit Length is w. a. b. C. e. O y(x) = d. y(x) = a y(x) = y(x) = y(x) = W 24 El -[x4 - 4Lx³ +6L²x²] =[x4-2Lx³ + L²x²] -[x4-2Lx³ + L³x] -[2x4-5Lx³+3L²x²] [2x4-3L³x³ +3L²x²] W 24 El W 24 El W 24 El - W 24 EIThe cantilever beam consists of a rectangular structural steel tube shape [E = 27000 ksi; / = 450 in.4]. For the loading shown, determine: (a) the beam deflection vg at point B. (b) the beam deflection vc at point C. Assume P = 10.9 kips, w = 2.9 kips/ft, LAB= 7.6 ft, LBc = 4.6 ft. "I W ↓↓ B LAB in. A Answers: (a) vg= -0.6016 (b) vc= i -1.2143 in. LBC