MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Chapter 7.3, Problem 47P
The beam is made from four boards nailed together as shown. If the nails can each support a shear force of 100 lb., determine their required spacing s′ and s if the beam is subjected to a shear of V = 700 lb.
Prob. 7–47
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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.
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The T-beam is subjected to a shear of V = 150 kN. Determine the amount of this force that is supported by the web B.
Chapter 7 Solutions
MECHANICS OF MATERIALS
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 - 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 - 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 shear stress at point B on the web...Ch. 7.2 - Determine the maximum shear stress acting at...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 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 three boards. If it...Ch. 7.3 - The beam is constructed from three boards....Ch. 7.3 - Prob. 38PCh. 7.3 - A beam is constructed from three boards bolted...Ch. 7.3 - The T-beam is constructed as shown. If each nail...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 - 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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- *7-4. If the T-beam is subjected to a vertical shear of V12 kip, determine the maximum shear stress in the beam. Also, compute the shear-stress jump at the flange- web junction AB. Sketch the variation of the shear-stress intensity over the entire cross section. Section Properties: 4 in. 4 in. 3 in. 4 in. B 6 in. V-12 kiparrow_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_forward20 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 m B 100 mm 25 mm- 25 mm 200 mm 25 mmarrow_forward
- The beam supports a vertical shear of V = 7 kip. Determine the resultant force in segment AB of the beam.arrow_forwardwhy is the area of the nails multiplied by 2?arrow_forwardIf the wide-flange beam is subjected to a shear of V = 30 kN, determine the shear force resisted by the web of the beam. Set w = 200 mm.arrow_forward
- If the beam is subjected to a shear of V=30kN determine the web's shear stress at A and B. Indicate the shear-stress components on a volume element located at these points. Set w = 125 mm. Show that the neutral axis is located at y = 0.1747 m 0.1747 m from the bottom and INA = 0.2182(10-³) m4. 30 mm 250 mm 30 mm 200 mm W -25 mm V Barrow_forwardIf the wide-flange beam is subjected to a shear of V = 20 kN, determine the shear stress on the web at A. Indicate the shear-stress components on a volume element located at this point.arrow_forwardThe beam is subjected to a shear of V = 850 N Determine the average shear stress developed in the nails along the sides A and B if the nails are spaced s = 100 mm apart. Each nail has a diameter of 2 mm.arrow_forward
- 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 maximum spacing s of the bolts to the nearest 1 8 in. if each bolt has a shear strength of 6 kip.arrow_forwardThe built-up beam is formed by welding together the thin plates of thickness 5 mm. Determine the location of the shear center Oarrow_forwardThe beam has a square cross section and is made of wood having an allowable shear stress of Tallow= 1.4 ksi. If it is subjected to a shear of V= 1.5 kip, determine the smallest dimension a of its sides. Sketch the shear stress distribution acting across the beam's cross section. Hint: Construct the stress distribution in 2D similar to in-class examples, rather than isometrically similar to the textbook examples for clarity. V = 1.5 kiparrow_forward
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