The cantilever beam AB shown in the figure is subjected to a uniform load actingthroughout one-half of its length and a concentrated load acting at the free end.Draw the shear-force and bending-moment diagrams for this beam2.0 kN/m2.5 kNAВ-2m2m

Consider the equilibrium condition ∑Horizontal forces=0HA=0∑Forces in vertical…

Answered: The cantilever beam AB shown in 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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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
The beam shown below has internal hinges at points B and D. Assume EI is constant. Using conjugate beam method show the magnitude and directions of the support reactions (??,??,??,??,??), the elastic curve, vertical displacement at B, rotation just to the left of B, and the rotation just to the right of B.
Problem 4 The beam AB is subjected to the uniformly distributed load shown and to two unknown forces P and Q. Knowing that the bending moment is +800 Nm at D and +1300 Nm at E, (a) determine P and Q, (b) draw the shear and bending-moment diagrams for the beam. A 20 kN/m C P Q 1. 1. D E 0.3 m 0.3 m 0.3 m 0.3 m B un M' (a) Internal forces (positive shear and positive bending moment)
SOLVE USING MOMENT AREA METHOD & CONJUGATE BEAM METHOD Problem II. The beam shown has a constant El and is supported as shown. Find the following: 300 kN 15 kN/m 1.5 kNm a. Reaction at A (kN) b. Reaction at B (kN) c. Slope at C in radians d. Displacement at the application of 300KN load 2m 10m
Question
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
Consider the loaded frame in Fig Q3. Use the Principle of Virtual Work to evaluate the following: a. The horizontal support reaction at point A. b. The bending moment at point D. Indicate clearly which way this moment is curving member BC at this point. |10 kN 1.5 m A В 15 kN D 3.0 m 2.0 m 12 kNm) 3.0 m
3- The cantilever beam AB shown in the figure is subjected to a triangular load and a concentrated bending moment at B equal to M= 100 Nm. Draw the shear-force and bending-moment diagrams for this beam. 3m 300 N/m -1.5m- M=(100Nm)
Consider the same beam (orientation a) in Q1. If b=20 cm and h = 10 cm, and if the beam material has a maximum allowable stress of 100 MPa, then what is the maximum bending moment the beam can be exposed to? b Case (a) OI. 333.33 N.m O II. 20000 N.m III. 33333.33 N.m O IV. 1000 N.m Neutral axis
1.) Determine shear and moment equations of the beam shown. Neglect horizontal reactions since there are no axial forces. Summarize the equations solved. Example: Section 1: V1: M1: Hinge 60 kN/m -30 kN/m 60 kN A 8 m BA 2 m 1 m C 3 m AD
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
1) The overhanging beam is loaded as shown in the figure. Draw the shear and bending moment diagrams and determine the maximum bending moment in the beam. A 1m B 20 kN/m 2m TH C 10 kN/m 2m D 1m 40 kN E

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The cantilever beam AB shown in the figure is subjected to a throughout one-half of its length and a concentrated load acting at the free end. Draw the shear-force and bending-moment diagrams for this beam actin 2.5 kN 2.0 kN/m A 2m- -2m