b. A horizontal cantilever of effective length 3a, carries two concentrated loads W at adistance a from the fixed end and W' at a distance a from the free end. Obtain aformula for the maximum deflection due to this loading using Mohr's method. If thecantilever is 250 mm by 150mm steel I beam, 3 m long having a second moment of areaI as 8500 cm4, determine W and W'to give a maximum deflection of 6 mm when themaximum stress due to bending is 90 Mpa. Take Young's modulus of material E as 185Gpa.

Answered: Image /qna-images/answer/c123aae5-21e0-4f0c-a57d-16f8bf5335da.jpg

Answered: b. A horizontal cantilever of effective…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the slope at A, (c) the slope at B, and (d) the deflection at midspan. Assume that El is constant for the beam. Let Mo = 50KN-m, L= 4.5 m, E= 180 GPa, and I = 115x 106 mm4. Mo B Answer: (b) 0A = i rad (c) Og = i rad (d) vmid = i mm
beam, simply supported at its ends, carries a load which increases uniformly from 15kN/m at the left-hand end to 100 kN/m at the right-hand end. If the beam is 5m long, find the equation for the rate of loading and, using this, to determine the deflection of the beam at mid-span if E= 200GN/m² and I=600*10 m².
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Quiz: A straight beam ABCD is rigidly built-in at A and D and carries point loads of § kN at B and C. AB = BC =CD = 1 8m If the second moment of area of the section is 7 x 10‘m* and Young’s modulus is 210GN/m’, calculate: () The end moments; (b) The central deflection of the beam.
For the beam loaded as shown, use the method of superposition to determine the deflection of the beam at end A. Assume the following values: El = 2.8 x 104 kN-m² (constant for entire beam) L = 15 m w = 56 kN/m Answer: VA= i B W mm L C
Calculate the beam deflection at point C. E = 206.8 GPa, I„ = 1.873 x 10-6 mª. Use either the double integration method or the moment area method. Show your work. 200 N 500 N 50.8 mm -------z 76.2 mm A 1 m 1 m 2 m
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever beam AB, (b) the deflection at the free end, and (c) the slope at the free end. Assume that EI is constant for the beam. Let w0 = 6 kN/m, L = 5.5 m, E = 195 GPa, and I = 140 x 106 mm4.
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the maximum deflection, and (c) the slope at A. Assume that El is constant for the beam. Let w = 12 kN/m, L = 3.5 m, E= 210 GPa, and I = 110 x 10° mmt. L. Answer: (b) vmax i mm (c) OA = i rad eTextbook and Media
For the beam and loading shown, use discontinuity functions to compute: (a) the slope B of the beam at B, and (b) the deflection VA of the beam at A. = Assume a constant value of EI = 54000 kN-m² for the beam; WA WB = 50 kN/M, LAB = 3.3 m, LBC = 1.9 m. "I WA Answers: (a) OB (b) VA = = LAB *1 *2 rad. mm. WB B LBC с 15 kN/m, X
Typically, an aircraft wing is supported by a single structural spar attached to the main fuselage at the wing root as shown. This arrangement can be idealized as a cantilever beam with a loading distribution characterizing wing pressure. In general, holes are introduced to the structural members to reduce the overall weight of the wing (observe the rib sections shown in B). For the idealized beam arrangement (shown in the C), assume that the cross section of the spar is uniform and has a rectangular cross section (2" x 16"). The material is 2016-T6 Aluminum. If four 7" diameter holes are introduced to the beam (as shown in C, below), what is the maximum increase in normal stress? Ignore the effect of transverse shear. (A) (C) Wing Root (Assumed Fixed) 80 lb/in 1.8' 1.8' (B) 1.8' 9' Wing Root + 1.8' W Wing Tip Fuel Tank Wing Tip (Assumed Free)
determine the equation for the elastic curve of a beam that is subjected to an applied oment and distributed load and to use this equation to determine the deflection of the eam at given locations along the beam's length. Part A - Moment reaction at point A e cantilever beam shown below has an applied moment of M = 28.0 kip - in at point B ad a distributed load of wo = 6.0 kip/in centered at point C. The beam is fixed to a wall at int A, has a modulus of elasticity of E = 28000 ksi , and a moment of inertia of I = 55.0 4 Assume El is constant. The measurements corresponding b = 10.5 in , c = 11.0 in , and d = 5.5 in (Figure 1) The first step in analyzing this problem is to detemine the reactions on the beam at the wall (point A). Assuming a counterclockwise value to be positive, what is the moment reaction a Express your answer to three significant figures and include appropriate units. the figure are a = 11.5 • View Available Hint(s) ? M = Value Units Submit Part B - Elastic curve for…

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