Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 21, Problem 21.3P
Use the method of superposition to determine the reactions for the propped cantilever beams shown. Draw complete shear and moment diagrams.
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Q.4. Draw the load and bending moment diagrams that correspond to the given shear force diagram
(figure 4). Assume no couples are applied to the beam.
1. Simplified free body diagram of the beam ABCDE that includes the values of the reactions at the supports and all the effects of the loads to which the frame is subjected. (Consider the vertical component of the reaction at the point E is 52 kN upwards and the horizontal component is 24 kN to the left)
2. From the previous FBD draw the shear force and bending moment diagrams for the beam indicating the absolute maximum values (magnitude and location). You must draw below the free body diagram the V and M diagrams in line and on the same page.
4
Chapter 21 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 21 - Prob. 21.1PCh. 21 - Prob. 21.2PCh. 21 - Use the method of superposition to determine the...Ch. 21 - Draw complete shear and moment diagrams for the...Ch. 21 - Draw complete shear and moment diagrams for the...Ch. 21 - Draw complete shear and moment diagrams for the...Ch. 21 - Determine the reactions for the beam shown.Ch. 21 - Prob. 21.8PCh. 21 - 21.9 Select a southern pine timber beam () for the...Ch. 21 - For the continuous beams shown, find moments at...
Ch. 21 - For the continuous beams shown, find moments at...Ch. 21 - For the continuous beams shown, find moments at...Ch. 21 - Prob. 21.13SPCh. 21 - Prob. 21.14SPCh. 21 - Prob. 21.15SPCh. 21 - Prob. 21.16SPCh. 21 - Prob. 21.17SPCh. 21 - Prob. 21.18SPCh. 21 - Prob. 21.19SPCh. 21 - Prob. 21.20SPCh. 21 - For these problems, use any appropriate method of...Ch. 21 - For these problems, use any appropriate method of...Ch. 21 - Prob. 21.23SPCh. 21 - For these problems, use any appropriate method of...
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- Figure 1 below shows a 5 m length of beam with a pinned support at A and roller support at E. The beam carries three concentrated loads of 10 kN, 5 kN and 15 kN at B, C and D, respectively. а. Show the Free Body Diagram (FBD) of the beam then determine the reaction force. b. Calculate the shear force, V. Draw Shear Force Diagram (SFD). Calculate the bending moment, M. Draw the Bending Moment Diagram (BMD). 10 kN 5 kN 15 kN A E B C D 1m 1m 1 m 2 m Figure 1 C.arrow_forward2. For the 20 meter beam shown, there is a roller at "A" (Ay = 52 kN; it is acting upward), and a pin joint at "B" (By=-- 17 kN; it is acting downward). (a) Draw complete shear force and bending moment diagrams. (b) If x=0 is at the left end of the beam, write equations for the shear force and bending moment, and indicate the appropriate sections. (You may use the table on the next page.) 50 KN 15 KN A 90 kN-m 2 m3 m -5 m B *4 -7 m 120 kN-m € 3 marrow_forwardcan you help me on part 3, 4 and 5arrow_forward
- (a) derive equations for the shear force V and the bending momentM for any location in the beam. (Place the origin at point A.)(b) use the derived functions to plot the shear-force and bendingmomentdiagrams for the beam.(c) specify the values for key points on the diagrams.arrow_forwardPlease draw by deriving SF and BM equations for each sections.Draw a labelled diagram mentioning valus at key points. Thank youarrow_forwardThe three beams below are loaded the same and have the same support conditions. However, one has a moment release just to the left of C, the second has a shear release just to the right of C, and the third has an axial release just to the left of C. Which beam has the largest maximum moment? First, find support reactions, then plot axial force (N), shear (V) and moment (M) diagrams for all three beams. Label all critical N, V, and M values and also the distance to points where N, V, and/or Mis zero. PL at C P L L L 4 L A 2 B 2 14 4 D PL at B Ax Moment Ay release Cy Dy (a) PL at C P A L L L 4 L 2 B 2 3 4 D PL at B Shear Ay Ax Cy release Dv (b) PL at C A 22 P L L 4 L B 2 4 PL at B Ay Ax Axial force release (c) 15 Схarrow_forward
- SHOW THE FOLLOWING: 1. COMPUTATION OF REACTIONS 2. SHEAR AND MOMENT DIAGRAM 3. MAXIMUM BENDING MOMENT @ THE LOACTION OF THE MAXIMUM DEFLECTION 4. VALUE OF THE MAXIMUM DEFLECTION (A/B). A beam 7 m long is simply supported at its ends and loaded as follows: 120 kN at 1 m from one end A, 20kN at 4 m from A and 60 kN at 5 m from A. Calculate the position and magnitude of the maximum deflection. The second moment of area of the beam section is 400 x 10-m* and E for the beam material is 210 GN/m².arrow_forward(a) derive equations for the shear force V and the bending moment M for any location in the beam. Place the origin at point A.) (b) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Specify the values for key points on the diagrams. Wo A Larrow_forwardWhen loads and moments are applied to the cantilever beam as shown in the picture below, draw the shear and bending moment lines.arrow_forward
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Understanding Shear Force and Bending Moment Diagrams; Author: The Efficient Engineer;https://www.youtube.com/watch?v=C-FEVzI8oe8;License: Standard YouTube License, CC-BY
Bending Stress; Author: moodlemech;https://www.youtube.com/watch?v=9QIqewkE6xM;License: Standard Youtube License