Solut 1. Bending and Shear in Simple BeamsConstruct the shear and moment diagrams using the equilibriummethod. Indicate the magnitude of Vmax and Mmax"W=120#/FT.Goo14'

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Answered: 1. Bending and Shear in Simple Beams…

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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THE OVERHANGING BEAM IN THE FIGURE CARRIES A TRIANGULAR LOADING, THE INTENSITY OF WHICH VARIES FROM 0 TO 10 KN/M, AN UNKNOWN CONCENTRATED LOADING P, AND AN UNKNOWN UNIFORMLY DISTRIBUTED LOADING W. KNOWING THAT IT HAS BEEN EXPERIMENTALLY DETERMINED THAT THE BENDING MOMENT IS +128/9 KN-M AT C AND +172/9 KN-M AT D. (A) DETERMINE THE VALUES OF P (IN KN) AND W (IN KN/M), (B) DRAW THE SHEAR AND BENDING-MOMENT DIAGRAMS. (C) DETERMINE THE LOCATION OF ZERO SHEAR FROM POINT A AND THE MAGNITUDE OF MAXIMUM MOMENT. NEGLECT THE WEIGHT OF THE BEAM. HINT: THE LOCATION OF ZERO SHEAR IS ALSO WHERE M-MAX OCCURS. \ 10 kN/m W A E B 2 m C D 2 m 2 m 2 m
THE OVERHANGING BEAM IN THE FIGURE CARRIES A TRIANGULAR LOADING, THE INTENSITY OF WHICH VARIES FROM O TO 10 KN/M, AN UNKNOWN CONCENTRATED LOADING P, AND AN UNKNOWN UNIFORMLY DISTRIBUTED LOADING W. KNOWING THAT IT HAS BEEN EXPERIMENTALLY DETERMINED THAT THE BENDING MOMENT IS +128/9 KN-M AT C AND +172/9 KN-M AT D. (A) DETERMINE THE VALUES OF P (IN KN) ANDW (IN KN/M), (B) DRAW THE SHEAR AND BENDING-MOMENT DIAGRAMS. (c) DETERMINE THE LOCATION OF ZERO SHEAR FROM POINT A AND THE MAGNITUDE OF MAXIMUM MOMENT. NEGLECT THE WEIGHT OF THE BEAM. HINT: THE LOCATION OF ZERO SHEAR IS ALSO WHERE M-MAX OCCURS. P 10 kN/m W C E A 2 m 2 m 2 m 2 m
J: Using the conjugate beam method to determine rotation at B & deflection at C 40 kN/m 8 m 20 KN 150 KN m
DRAW THE SHEAR AND MOMENT DIAGRAMS OF THE FOLLOWING BEAMS AFTER ANALYZING THEM USING THREE MOMENT EQUATION. DETERMINE Deflection under point C at the free end of the beam. 15 kN/m A C -7 m- -7 m- El = constant %3D
2. For the overhanging beam shown, determine the maximum value of Elő between the supports using moment-area method. El is constant | 3600 N/m 1200 N/m B C 4 m 2 m
Find: i. Reactions ii. Shear force diagram Bending moment diagram iv. Deflected shape iii. V. Points of contraflexure. UDL = 3kN/m 3m A 30KN 2m 5m UDL= 6kN/m 2m B 10KN 2m
SET 1: Using the first method in finding deflection wherein you will draw the real shear and moment diagram.1. What is the reaction RA of the real beam in kN?2. What is the moment at midspan of the real beam in kN.m?3. What is the reaction R1 of the conjugate beam in kN.m2?
2. For the beam loaded as shown, (a) draw completely the shear and moment diagrams conventionally (b) locate the point of maximum deflection and (c) compute the deflection at 2.10 m from the extreme left. The modulus of elasticity is 200,000 MPa while the centroidal moment of inertia is 709 (106) mm¹. 73 KN/m 0.9 m 1.2 m 9 KN 30.02 KN m 1.8 m 9 KN 17.50 KN/m 1.2 m 7.3 KN/m 0.9 m
2. For the overhanging beam shown, determine the maximum value of Elð between the supports using moment-area method. El is constant | 3600 N/m 1200 N/m 4m 2 m
A positive moment diagram of the real beam when loaded to a corresponding conjugate beam is directed downward. True False
‏Using slope deflection method, find the reaction moments at support'of the continuous beam Fig4. E is const.
Determine the value of the maximum deflection and rotation at bothsupport for the beam loading shown if the uniformly distributed load ωis 58 N/m. Assume EI to be constant all throughout thespan.

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1. Bending and Shear in Simple Beams Construct the shear and moment diagrams using the equilibrium method. Indicate the magnitude of Vmax and Mmax" W=120#/FT. Goo 14'