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 7.32P
The beam is constructed from two boards fastened together at the top and bottom with three rows of nails spaced every 4 in. If each nail can support a 400-lb shear force, determine the maximum shear force V that can be applied to the beam.
Probs. 7–32/33
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*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. 7-12
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.
20 mm
20 mm
4. The simply supported beam on the right
is built up from three boards by nailing
them together as shown. If P = 12 kN,
determine the maximum allowable spacing
s of the nails to support the load, if each
nail can resist a shear force of 1.5 kN.
1 m
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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 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_forwardThe 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_forwardF7-9. The boards are bolted together to form the built-up beam. If the beam is subjected to a shear force of V = 15 kip, determine the allowable maximum spacing of the bolts to the nearest in. Each bolt has a shear strength of 6 kip. 1 in. 0.5 in. 0.5 in. 4 in. 3 in. 1 in, 1 in. 3 in. 4 in. F7-9arrow_forward
- why is the area of the nails multiplied by 2?arrow_forward7-26. 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. Tarrow_forwardThe T-beam is subjected to a shear of V = 150 kN. Determine the amount of this force that is supported by the web B.arrow_forward
- The beam supports a vertical shear of V = 7 kip. Determine the resultant force in segment AB of the beam.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_forward10-26. A beam is made up of four 50 X 100-mm full-sized Douglas Fir pieces that are glued to a 25 x 500-mm Douglas Fir plywood web, as shown in the figure. Determine the maximum allowable shear and the maximum allowable bending moment that this section can carry if the allowable bending stress is 10 MPa; the allowable shear stress in plywood is 600 KN /m, and the allowable shearing stress in the glued joints is 300 kN/m^2. AIl dimensions in the figure are in mm.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 location e of the shear center, point O, for the thin-walled member. The member segments have the same thickness t.arrow_forwardThe 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--- R1arrow_forward
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