Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 12.2, Problem 31P
To determine
Find the value of the smallest dimension a.
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If the wide-flange beam is subjected to a shear of V = 30 kN, determine the maximum shear stress in the beam. Set w = 200 mm
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
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.
Chapter 12 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 12.2 - In each case, calculate the value of Q and t that...Ch. 12.2 - If the beam is subjected to a shear force of V =...Ch. 12.2 - Prob. 2FPCh. 12.2 - Determine the absolute maximum shear stress in the...Ch. 12.2 - If the beam is subjected to a shear force of V =...Ch. 12.2 - If the beam is made from four plates and subjected...Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - If the beam is subjected to a shear of V = 30kN,...
Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - The wood beam has an allowable shear stress of...Ch. 12.2 - The shaft is supported by a thrust bearing at A...Ch. 12.2 - The shaft is supported by a thrust bearing at A...Ch. 12.2 - Determine the largest shear force V that the...Ch. 12.2 - If the applied shear force V = 18 kip, determine...Ch. 12.2 - The overhang beam is subjected to the uniform...Ch. 12.2 - The beam is made from a polymer and is subjected...Ch. 12.2 - Determine the maximum shear stress in the strut if...Ch. 12.2 - Determine the maximum shear force V that the strut...Ch. 12.2 - Prob. 15PCh. 12.2 - Plot the shear-stress distribution over the cross...Ch. 12.2 - Prob. 17PCh. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - Determine the length of the cantilevered beam so...Ch. 12.2 - If the beam is made from wood having an allowable...Ch. 12.2 - Determine the largest intensity w of the...Ch. 12.2 - If w = 800 lb/ft, determine the absolute maximum...Ch. 12.2 - Determine the shear stress at point B on the web...Ch. 12.2 - Determine the maximum shear stress acting at...Ch. 12.2 - Railroad tics must be designed to resist large...Ch. 12.2 - Prob. 27PCh. 12.2 - Prob. 28PCh. 12.2 - Determine the maximum shear stress in the T-beam...Ch. 12.2 - Determine the maximum shear stress in the T-beam...Ch. 12.2 - Prob. 31PCh. 12.3 - The two identical boards are bolted together to...Ch. 12.3 - Two identical 20-mm-thick plates are bolted to the...Ch. 12.3 - Prob. 8FPCh. 12.3 - Prob. 9FPCh. 12.3 - The beam is constructed from two boards fastened...Ch. 12.3 - The beam is constructed from two boards fastened...Ch. 12.3 - The beam is constructed from three boards. If it...Ch. 12.3 - The beam is constructed from three boards....Ch. 12.3 - Prob. 36PCh. 12.3 - The double T-beam is fabricated by welding the...Ch. 12.3 - The beam is constructed from three boards....Ch. 12.3 - A beam is constructed from three boards bolted...Ch. 12.3 - The simply supported beam is built up from three...Ch. 12.3 - Prob. 41PCh. 12.3 - Prob. 42PCh. 12.3 - Prob. 43PCh. 12.3 - The box beam is constructed from four boards that...Ch. 12.3 - The member consists of two plastic channel strips...Ch. 12.3 - The member consists of two plastic channel strips...Ch. 12.3 - Prob. 47PCh. 12.3 - Prob. 48PCh. 12 - The beam is fabricated from four boards nailed...Ch. 12 - Prob. 2RPCh. 12 - Prob. 3RPCh. 12 - Prob. 4RPCh. 12 - Prob. 5RPCh. 12 - Prob. 6RPCh. 12 - Prob. 7RPCh. 12 - The member consists of two triangular plastic...Ch. 12 - If the pipe is subjected to a shear of V = 15 kip,...
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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
- If the wide-flange beam is subjected to a shear of V = 20 kN, determine the maximum shear stress in the beam.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_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 box beam is constructed from four boards that are fastened together using nails spaced along the beam every 2 in. If each nail can resist a shear force of 50 lb, determine the largest force P that can be applied to the beam without causing failure of the nails.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_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
- 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.arrow_forwardIf the T-beam is subjected to a vertical shear of V=90kN , determine the maximum shear stress in the beam. Also, compute the shear-stress jump at the flange- web junction AB. 100 mm 100 mm A 100 mm B 75 mm 150 mmarrow_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_forward
- Determine 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_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_forwardA beam is constructed from three boards bolted together as shown. Determine the shear force in each bolt if the bolts are spaced s = 250 mm apart and the shear is V = 35 kN.arrow_forward
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