MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Chapter 7.3, Problem 35P
The beam is constructed from three boards. Determine the maximum shear V that it can support if the allowable shear stress for the wood is τallow = 400 psi. What is the maximum allowable spacing s of the nails if each nail can resist a shear force of 400 lb?
Probs. 7–34/35
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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.
*7-4. 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 kip
The beam is constructed from three boards. Determine the maximum loads P that it can support if the allowable shear stress for the wood is tallow = 400 psi. What is the maximum allowable spacing s of the nails used to holdthe top and bottom flanges to the web if each nail can resist a shear force of 400 lb?
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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- 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_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_forwardOnly Question 7-18arrow_forward
- why is the area of the nails multiplied by 2?arrow_forwardThe 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_forwardThe double T-beam is fabricated by welding the three plates together as shown. Determine the shear stress in the weld necessary to support a shear force of V = 80 kN.arrow_forward
- The H-beam is subjected to a shear of V = 80 kN. Sketch the shear-stress distribution acting along with one of its side segments. Indicate all peak values.arrow_forwardThe 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_forwardDetermine the shear stress at points A and B if the beam is subjected to a shear force of V = 600 kN. Represent the state of stress on a volume element of these points.arrow_forward
- The double-web girder is constructed from two plywood sheets that are secured to wood members at its top and bottom. The allowable bending stress for the wood is σallow = 8 ksi and the allowable shear stress is τallow = 3 ksi. The fasteners are spaced s = 6 in. and each fastener can support 400 lb in single shear. Determine the maximum load P that can be applied to the beam.arrow_forwardPlease help mearrow_forwardF12-7. 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_forward
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