EBK STATICS AND MECHANICS OF MATERIALS
5th Edition
ISBN: 8220102955295
Author: HIBBELER
Publisher: PEARSON
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Chapter 12, Problem 4RP
To determine
Find the maximum vertical shear V the beam can support.
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Determine the internal normal force, shear force, and moment at points D and E in the
compound beam. Point E is located just to the left of the 10kN concentrated load. Assume the
support at A is fixed and the connection at B is a pin.
2 kN/m
D
E
-1.5 m 1.5 m 1.5 m----1.5m-
---
10 KN
--
The cantilever beam is loaded with uniformly distributed loads of w1 = 32 in kn/m and w2= 13 in kn/m and a concentrated load of P= 70 in
kn. Determine the Maximum Shear developed in the beam in kn and make sure your sign is correct.
HINGE
P kn
W1 kn/m
W2 kn/m
A
3m.
2m.-
4m.
--2m---
R1
Draw the shear and moment diagrams for the loaded beam. After you have the diagrams, answer the questions as a check on your
work.
7 kN
7 kN/m
11&N-m
A
3 m+5 m-
10 m
-4 m
Questions:
When x = 2.3 m,
V =
i
15.05
kN
M =
i -21.4
kN-m
When x = 4.4 m,
V =
i 22.4
kN
M =
i -54.276
kN-m
When x = 11.0 m, V=
i
392
kN
M =
i
-28241.05
kN-m
When x = 19.6 m, V=
i
kN
M =
i
kN-m
The maximum (absolute value) shear force in the beam is:
|Vmaxl =
i 392
kN
The maximum (absolute value) bending moment in the beam is:
|Mmaxl -
i
28241.05
kN-m
Chapter 12 Solutions
EBK STATICS AND MECHANICS OF MATERIALS
Ch. 12.2 - In each case, calculate the value of Q and t that...Ch. 12.2 - If the beam is subjected to a shear force of V =...Ch. 12.2 - Prob. 2FPCh. 12.2 - Determine the absolute maximum shear stress in the...Ch. 12.2 - If the beam is subjected to a shear force of V =...Ch. 12.2 - If the beam is made from four plates and subjected...Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - If the beam is subjected to a shear of V = 30kN,...
Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - The wood beam has an allowable shear stress of...Ch. 12.2 - The shaft is supported by a thrust bearing at A...Ch. 12.2 - The shaft is supported by a thrust bearing at A...Ch. 12.2 - Determine the largest shear force V that the...Ch. 12.2 - If the applied shear force V = 18 kip, determine...Ch. 12.2 - The overhang beam is subjected to the uniform...Ch. 12.2 - The beam is made from a polymer and is subjected...Ch. 12.2 - Determine the maximum shear stress in the strut if...Ch. 12.2 - Determine the maximum shear force V that the strut...Ch. 12.2 - Prob. 15PCh. 12.2 - Plot the shear-stress distribution over the cross...Ch. 12.2 - Prob. 17PCh. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - Determine the length of the cantilevered beam so...Ch. 12.2 - If the beam is made from wood having an allowable...Ch. 12.2 - Determine the largest intensity w of the...Ch. 12.2 - If w = 800 lb/ft, determine the absolute maximum...Ch. 12.2 - Determine the shear stress at point B on the web...Ch. 12.2 - Determine the maximum shear stress acting at...Ch. 12.2 - Railroad tics must be designed to resist large...Ch. 12.2 - Prob. 27PCh. 12.2 - Prob. 28PCh. 12.2 - Determine the maximum shear stress in the T-beam...Ch. 12.2 - Determine the maximum shear stress in the T-beam...Ch. 12.2 - Prob. 31PCh. 12.3 - The two identical boards are bolted together to...Ch. 12.3 - Two identical 20-mm-thick plates are bolted to the...Ch. 12.3 - Prob. 8FPCh. 12.3 - Prob. 9FPCh. 12.3 - The beam is constructed from two boards fastened...Ch. 12.3 - The beam is constructed from two boards fastened...Ch. 12.3 - The beam is constructed from three boards. If it...Ch. 12.3 - The beam is constructed from three boards....Ch. 12.3 - Prob. 36PCh. 12.3 - The double T-beam is fabricated by welding the...Ch. 12.3 - The beam is constructed from three boards....Ch. 12.3 - A beam is constructed from three boards bolted...Ch. 12.3 - The simply supported beam is built up from three...Ch. 12.3 - Prob. 41PCh. 12.3 - Prob. 42PCh. 12.3 - Prob. 43PCh. 12.3 - The box beam is constructed from four boards that...Ch. 12.3 - The member consists of two plastic channel strips...Ch. 12.3 - The member consists of two plastic channel strips...Ch. 12.3 - Prob. 47PCh. 12.3 - Prob. 48PCh. 12 - The beam is fabricated from four boards nailed...Ch. 12 - Prob. 2RPCh. 12 - Prob. 3RPCh. 12 - Prob. 4RPCh. 12 - Prob. 5RPCh. 12 - Prob. 6RPCh. 12 - Prob. 7RPCh. 12 - The member consists of two triangular plastic...Ch. 12 - If the pipe is subjected to a shear of V = 15 kip,...
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- 11-6. The spreader beam AB is used to slowly lift the 13.5 kN pipe that is centrally located on the straps at C and D. If the beam is a W310×67, determine if it can safely support the load. The allowable bending stress is o allow = 154 MPa and the allowable shear stress is Tallow= 84 MPa. 13.5 kN 1.5 m |A 0.3 m| B - 1.8 m ––1.8 m - 10.9 m 0.9 marrow_forwardDetermine the internal normal force, shear force, and bending moment at point C in the beam. 300 lb/ft |C B -3 ft- -3 ft- -3 ft-arrow_forward*11-8. The simply supported beam is made of timber that has an allowable bending stress of ơallow = 8.4 MPa and an allowable shear stress of Tallow = 0.7 MPa. Determine its smallest dimensions to the nearest multiples of 5 mm if it is rectangular and has height-to-width ratio of 1.5. 200 kN/m A В -0.9 m- -0.9 m- 1,5 b B.arrow_forward
- Determine where the maximum displacement of the following beam is happening and what its value is. Finally, what would be the displacement in the middle of the beam? Sketch first the shear force diagram and the bending moment diagram. I. MB -A В-arrow_forwardDetermine the internal normal force and shear force, and the bending moment in the beam at points C and D. Assume the support at B is a roller. Point C is located just to the right of the 8-kip load.arrow_forwardDraw the shear and moment diagrams for the loaded beam. After you have the diagrams, answer the questions as a check on your work. 7 KN 7 KN/m 116N-m A 3 m-5 m- 10 m 4m. Questions: When x = 2.3 m, V = 42 kN M = -321.73 kN-m When x = 4.4 m, V = 35 kN M = -243,33 kN-m When x = 11.0 m, V= i 28.7 kN M- i -14.58 kN-m When x = 19.6 m, V= kN M = 116 kN-m The maximum (absolute value) shear force in the beam is: |Vmaxl = 42 kN The maximum (absolute value) bending moment in the beam is: |Mmaxl - 418.33 kN-m The distance b to the right of A where the bending moment equals zero for the first time is: b = i 19.6arrow_forward
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