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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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
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
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
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.
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)
Pr
The beam is subjected to a point load and a distribution load as shown in Figure 3-1 below. (a) Find the reaction from supports B and E.(b) Draw a beam's Shear Force Diagram.(c) Draw the moment diagram of the beam.(d) If the cross-sectional area is shown in Figure 3-2, how many mm is the neural axis NA from the bottom? (e) Find the second moment of area, INA from the neural axis.(f) Find the maximum shear stress mmax from the beam.(g) Find the maximum tensile flexural stress mmax, T and maximum compressive flexural stress mmax, C on the beam, respectively.
Problem 5. 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 Castigliano's theorem to determine the vertical deflection at point B. F = 4400 N 50 ·—A --· 150- 6 dia.. 12 thick 300 -DO C 220 - 200 All dimensions in mm. F B
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