Question 2A propped cantlever beam in Figure Q2 is loaded by a triangularly distrnbuted load ofmaximum intensity qo kN/m at BUse the fourth-order differental equation of the deflection curve to find expressions forreactions at A and B,21Determine the equation of the deflection curve.22ALFigure Q2

(2.1)For equilibrium conditions, determine the directions of reactions at points A (RA) and B (RB)…

Answered: Question 2 A propped cantlever beam in…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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For the loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever beam, (b) the deflection at the free end, and (c) the slope at the free end. Assume that El is constant for the beam. Let wo = 10 kN/m, L = 6.0 m, E=190 GPa, and I = 130x 106 mm4. Wo Answer: (b) VA = mm (c) 8A = rad
BP3: A simply supported beam its entire span. Determine the deflection of the beam at L/3 using Catigliano's method. constant El and length L is supporting a distributed load omega w over
A cantilever beam has a length L and is loaded by a triangularly distributed load of maximum intensity q 0 at B. Use the fourth-order differential equation of the deflection curve to solve for reactions at A and B and also the equation of the deflection curve.
う shear Frce 0くx八 5 kM 二 Ci) 5-10 = -5 kN 65x510 X s lo Sミ 5-lo ニ -5kN S = -5KN Bending moment M. = 5x) ニ 5x-10(n-4) ニー5x+40 6
For the beam shown in Figure 3. A. Find the reaction at support B (Rg) B. Find the reaction at support D (Rp)
Problem 2: The cantilever beam shown below consists of two structural steel channels, size 3 in x 5 lb./ft. It carries a 150 lb. force at end A and a distributed force of 5 lb./in. over the length OA. (a) Find the deflection of the beam at А. (b) If the deflection is to be reduced by at least 20%, what will be the size of the steel channels? 60 in 150 lbf Problem 4-15 5 lbf/in A
QUESTION 5 A beam ABCDEF is 11m long and is supported at point B and E which 2 m and 9m respectively from A, the left-hand end. The beam supported a load of 12kN at A; a load of 18KN at C, which is 5m from A, another load of W kN at D, which is 6m from A , and a load of 10kN at F, the right-hand end. In addition the beam carries two uniformly distributed load of 3kN/m from A to B, as well as from E to F. 5.1 Calculate the magnitude of the reaction at B and E; 5.2 The magnitude of W, if it given a point of contra flexure 3m from A 5.3 Draw the shear force and bending moment diagrams showing all relevant values. 5.4 Calculate the position of the other point of contra flexure
A simply supported beam is subjected to loadings as shown in Figure 1. A 1 m X 500 N + 2 m 300 N/m 2 m (a) Find the support reactions at A and B. B (b) Using Macaulay's method, determine the moment equation in terms of x, M(x) (c) Integrate the moment equation to obtain the slope and deflection equations and solve for the constant terms.
The figure shows an aluminum beam OB with rectangular cross section, pinned to the ground at one end and supported by a round steel rod with hooks formed on the ends. A load is applied as shown. Use superposition to determine the vertical deflection at point A. 2 in 6 in. where F-104 lbf -in dia. F -in thick 12 in -A 12 in B The vertical deflection at point A is .0706 × 10-3 in.
A beam under a uniformly-distributed transverse load is fixed at the end x=0 and roller-supported at the other end x= L. What are the Boundary Conditions needed to completely determine the reactions and thus the deflection curve y(x).
At what distance, "a" should the bearing supports at A and B be placed so that the displacement at the center of the shaft is equal to the deflection at its ends? The bearings exert only vertical reactions on the shaft. Use conjugate beam method. (EI is constant)
Problem 1: (Please solve parts A and B of problem) A) A uniformly distributed load is subjected on the clamped-clamped beam and it is supported by a spring in the middle of the beam. Using Castigliano’s theorem, find the deflection in the spring. (Please use only Castigliano’s theorem to solve this part) B) Remove the spring in part A and use the Rayleigh-Ritz method to solve for the deflection at the middle of the beam. Assume that v(x) = C (1- Cos((2Pi*x)/L)) (Please use only Rayleigh-Ritz method for this part)

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