Mechanics of Materials
11th Edition
ISBN: 9780137605514
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Textbook Question
Chapter 7.2, Problem 17P
If the beam is subjected to a shear of V=15 kN, 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 ȳ = 0.1747 m from the bottom and INA= 0.2182(10−3) m4.
Probs. 7–17/18/19
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If the beam is subjected to a shear of V = 15 kN, determine the web’s shear stress at A and B. Indicate the shear-stress components on a volume elementlocated at these points. Set w = 125 mm. Show that the neutral axis is located at y = 0.1747 m from the bottom and INA = 0.2182(10−3) m4.
If the beam is subjected to a shear of V = 30 kN, 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 = 200 mm. Show that the neutral axisis located at y = 0.2433 m from the bottom and I = 0.5382(10−3) m4.
The beam is constructed from two boards fastened together at the top and bottom with three rows of nails spaced every 8 in.
If an internal shear force of V = 800 lb is applied to the boards, determine the shear force resisted by each nail.
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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- If 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 shown is supported by a pin at C and by a short link AB. If w = 15 kN/m, determine the average shear stress in the pins at A and C. Each pin has a diameter of 20 mm. Assume L = 1.6 m and θ = 35°.arrow_forwardThe beam is subjected to a shear of V=39 kN V=39 kN. Set w=200 mm w=200 mm Part A Determine the web's shear stress at A. Part B Determine the web's shear stress at B.arrow_forward
- Determine 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_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_forwardIf the beam is made from four plates and subjected to a shear force of V = 20 kN, determine the shear stress at point A. Represent the state of stress on a volume element at this point.arrow_forward
- The shaft is supported by a thrust bearing at A and a journal bearing at B. If P = 20 kN, determine the absolute maximum shear stress in the shaft.arrow_forward7-17. If the beam is subjected to a shear of V = 15 kN, 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 from the bottom and INA 0.2182(103) m². 30 mm 250 mm 30 mm. 200 mm 25 mmarrow_forwardIf the wide-flange beam is subjected to a shear of V = 30 kN, determine the maximum shear stress in the beam. Set w = 300 mm.arrow_forward
- If the beam is subjected to a shear force of V = 20 kN, determine the maximum shear stress in the beam.arrow_forwardDetermine the maximum shear stress in the strut if it is subjected to a shear force of V = 20 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_forward
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