2. Determine the deflection of the following using Area- Moment Method. Use the conventionalmoment diagram below. Do not use moment-diagram by parts.a)Ans.ốc = Pa ( 3Lx - 3x-a?)B.Anc I6EIx-U2Ctangent at CP(a)P(a)M- diag.Aac = 1/El(Area of M-diag from A to C about A)= deviation of A with respect to a tangent drawn at C6c = AẠCb)Ans.ốc = PL348EIL/2L/2B.AAC IO ốcCx-L/2PL/4M- diag.

A beam is a load-carrying component of the building which is used to resist seismic conditions and…

Answered: 2. Determine the deflection of the…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Problems: 1- Find the deflection curve for the beam shown, then find the reactions at the supports. (Neglect self weight) W В A L El constant WLx 4 wL'x + 48EI wL? wx* y = 24EI 3wL V В 5wL and M 8. Ans.: V A 16EI 8. B 8.
Deflection of Beams Use Castiglianos Theorem Given: X - 274 у-74 а-8 b - 4 C- 9 Problem #1 #1 Determine the vertical displacement of joint A. Each bar is made of steel and has a cross-sectional area of 600 mm². Take E = 200 GPa. B. 1.5 m- -1.5 m P = X a = A
8- Determine maximum deflection. y L 45 √2P → X
A simple beam AB supports five equally spaced loads P (see figure). (Solve the problem by the method of superposition. The beam has constant flexural rigidity EI.) P p p B L L L L L 6 6 6 6 6 6 (a) Determine the deflection &, at the midpoint of the beam. (Enter the magnitude. Use the following as necessary: P, L, E, and I.) 8₁ = (b) If the same total load (5P) is distributed as a uniform load on the beam, what is the deflection 2 at the midpoint? (Enter the magnitude. Use the following as necessary: P, L, E, and I.) 8₂ = (c) Calculate the ratio of ₁ to 82.
Problem 2 The bar is supported by a roller constraint at B, which allows vertical displacement but resists axial load and moment. If the bar is subjected to the loading shown, determine the slope at A and the deflections at C and B. EI is constant. Use the method of direct integration. A L 3 P 1/2 C 2L 3 B
From the figure BOG-1 shown below. EI is constant. Use Area Moment Method.a.) Find the value of P for which the deflection under P will be zero.b.) Find the value of P so that the moment of area of the M-diagrambetween A & B will be zero.
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Q/2/ Cantilever beam shown in Figure fixed supported at point A. Determine the deflection at point C. El constant.
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336 CHAPTER 8 DEFLECTIONS "8-24 Determine the displacement at C and the slope at It El is constant. Use the morrent-area theorems 8-25. Solve Prob 8-24 using the conjugate-beam method. 4KN 4 m 15 m 1.5 m Probs. 8-24/8-25 Prob. 8-26 I'm 8-26. Determine the displacement at C and the slope at B. El is constant. Use the moment-area theorems. 8-27. Determine the displacement at C and the slope at B El is constant. Use the conjugate-beam method. 244 Prob. 8-27 4KN TB 8-28 Determine the force F at the end of the be that the displacement at C is zero. El 15 COREL moment-area theorems Prob. 8-28 8-29. Determine the force P at the end of the bea that the displacement at C is zero. El is constant conjugale-heam method. Prob. 8-29 8-30. Detar slope at B and the displaceme El is constantemoment-area theorems C Prob. 8-30 8-31. Determine the slope at 3 and the displace El is constant. Use the conjugate-beam method Prob. 8-31 18-32 at A. E 8-33, slope a 8-34. constam 8-35. consta

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2. Determine the deflection of the following using Area- Moment Method. Use the conventional moment diagram below. Do not use moment-diagram by parts. a)