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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Textbook Question
Chapter 21, Problem 21.6P
Draw complete shear and moment diagrams for the fixed beams shown.
Select the lightest structural steel
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Fixed
end
Y
4.25 KN.m
0.3m
5KN
100 KN
100 KN
0.4 m
3.0 KN.m
5 KN
200 KN
200KN
0.1 m
x
Calculate the reactions at the fixed support and draw the axial load, torque, shear force and
bending moment diagrams for the beam. Include equations and calculations. The stainless steel
beam has a circular cross section and diameter of 7 centemeters.
Figure 2 shows an 18 m length of an overhang beam with a pinned support at B and
roller support at D. The beam carries a concentrated load of 3.5 kN at C and clockwise
moment of 4.0 kNm at A.
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).
C.
Calculate the bending moment, M. Draw the Bending Moment Diagram (BMD).
3500 N
4000 N · m
В
D
A
2 m
14 m
2 m
Figure 2
Solve in neatly and cleanly the detail solution
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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- Determine the reactions and draw the shear and bending moment diagrams for the beams shown in Figs. using the method of consistent deformations. Select the reaction at the roller support to be the redundantarrow_forwardFigure 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_forward12 ok nces Required information For the simply supported beam shown, let a=6 ft, b=4 ft, and P= 800 lb. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Determine the shear and moment as functions of position. Enter positive or negative numbers for the internal forces based on the standard sign convention for internal forces. The shear and moment are as follows: V= Ib and M=([ lb and M=( V= b)x for 0 sxs 6 ft Ib)(10 ft-x) for 6 ft sxs 10 ftarrow_forward
- Draw the shear diagram for the beam. Follow the sign convention. Draw the moment diagram for the beam. Follow the sign convention.arrow_forwardN 0.3m 4.25 KN 5 KN 0.4m 100 KN 100 KN 3.0 kN m 0.1m 2 kN 200 KN 2001 This is a stainless steel beam with a circular cross section and a diameter of 7 centemeters. Calculate the reations at the fixed support and draw the bending moment, axial load, torque, shear force diagrams each with equaitions work shown.arrow_forwardThe beam is supported by a roller at B and a pin at C and is subjected to the distributed load shown with intensity w = 140 N/m. The maximum positive and negative internal bending moments are critical factors in the design of the beam material and geometry. On your written homework draw a full free body diagram of the beam including all reaction forces. Directly under the free body diagram, draw a shear and bending moment diagram. Using your diagranms, determine the largest positive and negative internal bending moments that occur in the beam and the points along the length where each occurs. Take r = 0 to be at point A at the left edge of the beam. В -b- Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 2.60 m 3.77 m The maximum negative internal bending moment is N-m and occurs at a = m to the right of A. The maximum positive internal bending moment is N-m and occurs at x = m to the right of A.arrow_forward
- Needs Complete typed solution with 100 % accuracy.arrow_forwardA WT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAg - 2 m, Lac- 7 m, Lco- 4 m, PA- 14 kN, Wac- 8 kN/m. Consider the entire 13-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam.arrow_forwardanswer item 4 only.arrow_forward
- Draw the SFD and BMD for the beams loaded as shown in Calculate the position and magnitude of maximum bending moment and locate points of contra-flexures if any.arrow_forwardSelect the lightest-weight wide-flange beam from Appendix B that will safely support the loading. The allowable bending stress is sallow = 22 ksi and the allowable shear stress is tallow = 12 ksi.arrow_forward. The reaction at fixed end Rcy The reaction at the fixed end Mc The shear force at B The bending moment at B Draw the shear force and bending moment diagrams for the beamarrow_forward
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