Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
6th Edition
ISBN: 9780134441184
Author: Robert L. Mott, Edward M. Vavrek, Jyhwen Wang
Publisher: PEARSON
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Chapter 3, Problem 47P
For Problems 39 through 50, draw the free-body diagram of only the horizontal beam portion of the given figures. Then draw the complete shear and bending moment diagrams. Where used, the symbol X indicates a simple support capable of exerting a reaction force in any direction but having no moment resistance. For beams having unbalanced axial loads, you may specify which support offers the reaction.
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In Figure 4a, a beam is supported at A and C with a uniformly distributed load of 20 kN/m between A and B. Draw and label the shear force diagram (SFD) and bending moment diagram (BMD) for the beam shown in Figure Q3a. Label the values for shear force and bending moment at points A, B, C & at the beam mid-point M; the maximum bending moment and its distance from A; and clearly indicate the type of bending between AB and between BC. (show all work)
In Figure Q3a, a beam is supported at A and C with a uniformly distributed load of20 kN/m between A and B. Draw and label the shear force diagram (SFD) andbending moment diagram (BMD) for the beam shown in Figure Q3a. Label thevalues for shear force and bending moment at points A, B, C & at the beam midpoint M; the maximum bending moment and its distance from A; and clearlyindicate the type of bending between AB and between BC
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force.
a.
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C.
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b.
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Figure 1
Chapter 3 Solutions
Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
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- Homework -3- Q1: A simply supported beam as shown in figure (1-A) below, having an I-cross section, has an over all width 200 mm and all depth 300 mm with flanges and web of thickness 20 mm shown in figure (1-B). (a) Draw the shear force and bending moment diagrams of the beam; (b) Determine the maximum compression and tension bending stress which can setup in the beam. 25 20 kN 20 kN 10 kN 150 60 kN/m (All dimensions in mm) 30 kN/m 100 1.5 m Im Im Im 50 50 50 50 50 Figure (1-A) Figure (1-B) Q2: A simply supported beam AB has a length of 3 m and carries distributed load which varies in linear manner from (1w) N/m at A support to (2w) N/m at the B support and concentrated load (1.5w) N at 2 m from A support, and the beam has hollow circular cross section of diameter ratio dindout =1/3. Draw S.F. and B.M. diagrams for the beam and determine the value of (w) if the maximum bending stress 110 N/mm?, and the average shear stress at 1 m from point A equal to 15 N/mm?.arrow_forwardDraw shear force and bending moment diagram for the following beamarrow_forwardClasswork Problem 2 Draw the Shear Force Diagram (SFD) and Bending Moment Diagram (BMD) for a loaded simply supported beam shown below 1KN 5kN 2kN 4KN 1m 1m 2m 1m 1m 14arrow_forward
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- Given the shear force diagram for a beam in the Figure for Question 1. Assuming there are no concentrated moments applied to the beam: a)Draw the load diagram corresponding to the given shear force diagrm. Identify the magnitude of all forces acting on the beamon the load diagram. b)Draw the bending moment diagram corresponding to the given shear force diagram. Indicate the values of moment on the moment diagram at points A, B, C, D, and E as indicated on the shear diagram.arrow_forwardGiven the shear force diagram for a beam in the Figure for Question 1. Assuming there are no concentrated moments applied to the beam:a)Draw the load diagram corresponding to the given shear force diagrm. Identify the magnitude of all forces acting on the beamon the load diagram.b)Draw the bending moment diagram corresponding to the given shear force diagram. Indicate the values of moment on the moment diagram at points A, B, C, D, and E as indicated on the shear diagram.arrow_forwardPart 1 Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=11 ft, b=6 ft and w = 11 kips/ft. Calculate the reaction forces A, and Cy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) Answers: Ay= kips, Cy= kips. Touthook dio b Carrow_forward
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