Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 7.3, Problem 7.42P
The T-beam is constructed as shown. If each nail can support a shear force of 950 lb, determine the maximum shear force V that the beam can support and the corresponding maximum nail spacing s to the nearest
Prob. 7–42
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The 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 kip
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.
Chapter 7 Solutions
Mechanics of Materials
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 - Prob. 7.4P
Ch. 7.2 - Prob. 7.5PCh. 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 - *7-12. The beam has a rectangular cross section...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 - 7-15. The strut is subjected to a vertical shear...Ch. 7.2 - Prob. 7.16PCh. 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 - Prob. 7.20PCh. 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 - Prob. 7.24PCh. 7.2 - 7-25. Determine the maximum shear stress in the...Ch. 7.2 - 7-26. The beam has a square cross section and is...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 - Prob. 7.32PCh. 7.3 - Prob. 7.33PCh. 7.3 - Prob. 7.34PCh. 7.3 - Prob. 7.35PCh. 7.3 - Prob. 7.36PCh. 7.3 - Prob. 7.37PCh. 7.3 - Prob. 7.38PCh. 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 - Prob. 7.43PCh. 7.3 - Prob. 7.44PCh. 7.3 - Prob. 7.45PCh. 7.3 - 7–46. The beam is subjected to a shear of V = 800...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 - Prob. 7.56PCh. 7.5 - Prob. 7.57PCh. 7.5 - Prob. 7.58PCh. 7.5 - Prob. 7.59PCh. 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 - 7–62. Determine the shear-stress variation over...Ch. 7.5 - 7–63. Determine the location e of the shear...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 - *7–68. A thin plate of thickness t is bent to form...Ch. 7.5 - A thin plate of thickness t is bent to form the...Ch. 7.5 - 7–70. Determine the location e of the shear...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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 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 m B 100 mm 25 mm- 25 mm 200 mm 25 mmarrow_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 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_forward
- 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?arrow_forwardThe 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 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.arrow_forward
- 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.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_forwardIf the wide-flange beam is subjected to a shear of V = 20 kN, determine the maximum shear stress in the beam.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_forwardThe beam is constructed from two boards. If each nail can support a shear force of 200 lb, determine the maximum spacing of the nails, s, s , and s , to the nearest 18 in. for regions AB, BC, and CD, respectivelyarrow_forwardDetermine the required diameter of the pins at A and B if the allowable shear stress for the material is tallow = 100 MPa. Both pins are subjected to double shear.arrow_forward
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