Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 7.3, Problem 7.44P
The box beam is constructed from four boards that are fastened together using nails spaced along the beam every 2 in. If a force P=2 kip is applied to the beam, determine the shear force resisted by each nail at A and B.
Probs. 7–43/44
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Students have asked these similar questions
Two identical 20-mm-thick plates are bolted to the top and bottom flange to form the built-up beam. If the beam is subjected to a shear force of V = 300 kN, determine the maximum spacing s of the bolts to the nearest mm if eachbolt has a shear strength of 30 kN.
7-26. The beam is made from three boards glued together
at the seams A and B. If it is subjected to the loading shown,
determine the maximum vertical shear force resisted by the
top flange of the beam. The supports at C and D exert only
vertical reactions on the beam.
5 kip
5 kip
5 kip
D
- 4 ft
3 ft
1.5 ft 1.5 ft
4 ft
6 in.
1.5 in.
8 in.
2 in.
B.
1.5 in. T
The answer is F = 4.56 kN but I am unsure of how to get there.
Chapter 7 Solutions
Mechanics of Materials (10th Edition)
Ch. 7.2 - In each case, calculate the value of Q and t that...Ch. 7.2 - If the beam is subjected to a shear force of V =...Ch. 7.2 - Determine the shear stress at points A and B if...Ch. 7.2 - Determine the absolute maximum shear stress in the...Ch. 7.2 - If the beam is subjected to a shear force of V =20...Ch. 7.2 - If the beam is made from four plates and subjected...Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - If the beam is subjected to a shear of V = 30 kN,...
Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - The wood beam has an allowable shear stress of...Ch. 7.2 - The shaft is supported by a thrust bearing at A...Ch. 7.2 - The shaft is supported by a thrust bearing at A...Ch. 7.2 - Determine the largest shear force V that the...Ch. 7.2 - If the applied shear force V = 18 kip, determine...Ch. 7.2 - The overhang beam is subjected to the uniform...Ch. 7.2 - The beam is made from a polymer and is subjected...Ch. 7.2 - Determine the maximum shear stress in the strut if...Ch. 7.2 - Determine the maximum shear force V that the strut...Ch. 7.2 - Sketch the intensity of the shear-stress...Ch. 7.2 - Plot the shear-stress distribution over the cross...Ch. 7.2 - If the beam is subjected to a shear of V=15 kN,...Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - Determine the length of the cantilevered beam so...Ch. 7.2 - If the beam is made from wood having an allowable...Ch. 7.2 - Determine the largest intensity w of the...Ch. 7.2 - If w=800 lb/ft, determine the absolute maximum...Ch. 7.2 - Determine the shear stress at point B on the web...Ch. 7.2 - Determine the maximum shear stress acting at...Ch. 7.2 - Railroad ties must be designed to resist large...Ch. 7.2 - The beam is slit longitudinally along both sides....Ch. 7.2 - The beam is to be cut longitudinally along both...Ch. 7.2 - The composite beam is constructed from wood and...Ch. 7.2 - The beam has a rectangular cross section and is...Ch. 7.2 - The beam in Fig.6-48f is subjected to a fully...Ch. 7.3 - The two identical boards are bolted together to...Ch. 7.3 - Two identical 20-mm-thick plates are bolted to the...Ch. 7.3 - The boards are bolted together to form the...Ch. 7.3 - The boards are bolted together to form the...Ch. 7.3 - The beam is constructed from two boards fastened...Ch. 7.3 - The beam is constructed from two boards fastened...Ch. 7.3 - The beam is constructed from three boards. If it...Ch. 7.3 - The beam is constructed from three boards....Ch. 7.3 - The double T-beam is fabricated by welding the...Ch. 7.3 - The double T-beam is fabricated by welding the...Ch. 7.3 - The beam is constructed from three boards....Ch. 7.3 - A beam is constructed from three boards bolted...Ch. 7.3 - The simply supported beam is built up from three...Ch. 7.3 - The simply supported beam is built up from three...Ch. 7.3 - The T-beam is constructed as shown. If each nail...Ch. 7.3 - The box beam is constructed from four boards that...Ch. 7.3 - The box beam is constructed from four boards that...Ch. 7.3 - The member consists of two plastic channel strips...Ch. 7.3 - The member consists of two plastic channel strips...Ch. 7.3 - The beam is made from four boards nailed together...Ch. 7.3 - The beam is made from three polystyrene strips...Ch. 7.5 - A shear force of V=300 kN is applied to the box...Ch. 7.5 - A shear force of V=450 kN is applied to the box...Ch. 7.5 - A shear force of V = 18 kN is applied to the box...Ch. 7.5 - A shear force of V = 18 kN is applied to the box...Ch. 7.5 - The aluminum strut is 10 mm thick and has the...Ch. 7.5 - The aluminum strut is 10 mm thick and has the...Ch. 7.5 - The beam is subjected to a shear force of V=50...Ch. 7.5 - The beam is subjected to a shear force of V=50...Ch. 7.5 - The H-beam is subjected to a shear of V=80 kN...Ch. 7.5 - The H-beam is subjected to a shear of V=80 kN...Ch. 7.5 - The built-up beam is formed by welding together...Ch. 7.5 - The assembly is subjected to a vertical shear of V...Ch. 7.5 - The box girder is subjected to a shear of V=15 kN....Ch. 7.5 - Determine the location e of the shear center,...Ch. 7.5 - Determine the location e of the shear center,...Ch. 7.5 - The beam supports a vertical shear of V=7 kip....Ch. 7.5 - The stiffened beam is constructed from plates...Ch. 7.5 - The pipe is subjected to a shear force of V=8 kip....Ch. 7.5 - Determine the location e of the shear center,...Ch. 7.5 - A thin plate of thickness t is bent to form the...Ch. 7.5 - Determine the location e of the shear center,...Ch. 7 - The beam is fabricated from four boards nailed...Ch. 7 - The T-beam is subjected to a shear of V = 150 kN....Ch. 7 - The member is subject to a shear force of V = 2...Ch. 7 - Determine the shear stress at points B and C on...Ch. 7 - Determine the maximum shear stress acting at...
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- The two identical boards are bolted together to form the beam. Determine the maximum spacing s of the bolts to the nearest mm if each bolt has a shear strength of 15 kN. The beam is subjected to a shear force of V = 50 kN.arrow_forward*7-12. The beam has a rectangular cross section and is made of wood having an allowable shear stress of Tallow = 200 psi. Determine the maximum shear force V that can be developed in the cross section of the beam. Also, plot the shear-stress variation over the cross section. 12 in. 8 in. Prob. 7-12arrow_forward4) The boat has a weight of 2300 lb and a center of gravity at G. If it rests on the trailer at the smooth contact A and can be considered pinned at B, determine the absolute maximum bending stress developed in the main strut of the trailer. Consider the strut to be a box beam having the dimensions shown and pinned at C. -3 ft 1 ft -5 ft -4 ft 3 in. 1.75 in. 1.5 in. 1.75 in.arrow_forward
- The box beam is constructed from four boards that are fastened together using nails spaced along the beam every 2 in. If a force P = 2 kip is applied to the beam, determine the shear force resisted by each nail at A and B.arrow_forward6-54. The beam is made from three boards nailed together as shown. If the moment acting on the cross section is M = 600 N - m, determine the maximum bending stress in the beam. Sketch a three-dimensional view of the stress distribution acting over the cross section. 25 mm 150 mm 20 mm 200 mm M - 600N-m 20 mmarrow_forwardThe beam supports a vertical shear of V = 7 kip. Determine the resultant force in segment AB of the beam.arrow_forward
- The double T-beam is fabricated by welding the three plates together as shown. If the weld can resist a shear stress tallow = 90 MPa, determine the maximum shear V that can be applied to the beam.arrow_forwardIf d = 450 mm, determine the absolute maximum bending stress in the overhanging beam.arrow_forwardThe cantilevered beam has a circular cross section. If it supports a force P at its end, determine its radius y as a function of x so that it is subjected to a constant maximum bending stress sallow throughout its length.arrow_forward
- F12-7. Two identical 20-mm-thick plates are bolted to the top and bottom flange to form the built-up beam. If the beam is subjected to a shear force of V = 300 kN, determine the maximum spacing s of the bolts to the nearest mm if cach bolt has a shear strength of 30 kN. -200 mm 20 mm 10 mm 300 mm ho mm "20 mmarrow_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_forwardDetermine the normal force, the shear force, and the bending moment of the bar with the loads below, at a distance of 5 ft to the right of point A. 5k/ft 150 k ft JB 5 ft+ 15 ft-arrow_forward
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