MECHANICS OF MATERIAL IN SI UNITS
10th Edition
ISBN: 9781292178202
Author: HIBBELER
Publisher: PEARSON
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Textbook Question
Chapter 7.2, Problem 7.20P
Determine the length of the cantilevered beam so that the maximum bending stress in the beam is equivalent to the maximum shear stress.
Prob. 7–20
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The member has a circular cross section. If the allowable bending stress is sallow = 100 MPa, determine the maximum moment M that can be applied to the member
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as shown. If the moment acting on the cross section is
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Chapter 7 Solutions
MECHANICS OF MATERIAL IN SI UNITS
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 - If the beam is subjected to a shear of V = 30 kN,...
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 - Sketch the intensity of the shear-stress...Ch. 7.2 - Plot the shear-stress distribution over the cross...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 largest intensity w of the...Ch. 7.2 - If w=800 lb/ft, determine the absolute maximum...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 - Railroad ties must be designed to resist large...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 composite beam is constructed from wood and...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 two boards fastened...Ch. 7.3 - The beam is constructed from two boards fastened...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 - The double T-beam is fabricated by welding the...Ch. 7.3 - The double T-beam is fabricated by welding the...Ch. 7.3 - The beam is constructed from three boards....Ch. 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 - The box beam is constructed from four boards that...Ch. 7.3 - The box beam is constructed from four boards that...Ch. 7.3 - The member consists of two plastic channel strips...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. 7.5 - The box girder is subjected to a shear of V=15 kN....Ch. 7.5 - Determine the location e of the shear center,...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 - Determine the location e of the shear center,...Ch. 7.5 - A thin plate of thickness t is bent to form the...Ch. 7.5 - Determine the location e of the shear center,...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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- Determine the length of the cantilevered beam so that the maximum bending stress in the beam is equivalent to the maximum shear stress.arrow_forwardThe cantilevered beam has a circular cross section. If it supports a force P at its end, determine its radius y as a function of x so that it is subjected to a constant maximum bending stress sallow throughout its length.arrow_forwardIf the beam is subjected to a bending moment of M = 48 kN m , determine the maximum bending stress in the beam. %3D 200 mm 20 mm 300 mm M 20 mm 20 mmarrow_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_forwardthe beam has the rectangular cross section shown. if w=3kN/m, determine the maximum bending stress in the beam.arrow_forwardThe tapered beam supports a uniform distributed load w. If it is made from a plate and has a constant width b, determine the absolute maximum bending stress in the beam.arrow_forward
- I1-47. The beam is made from three boards nailed together as shown. If the moment acting on the crass section is M= 600 N- m, determine the maximum bending stress in the beam. Sketch a three-dimensional view af the stress distribution and cover the cross section. 25 mm 150 mm -20 mm 200 mim M- 600 Nm 20arrow_forwardDetermine where the maximum displacement of the following beam is happening and what its value is. Finally, what would be the displacement in the middle of the beam? Sketch first the shear force diagram and the bending moment diagram. I. MB -A В-arrow_forwardDetermine the absolute maximum bending stress in the beam, assuming that the support at B exerts a uniformly distributed reaction on the beam. The cross section is rectangular with a base of 3 in. and height of 6 in.arrow_forward
- If d = 470 mm, determine the absolute maximum bending stress in the beam.arrow_forwardSketch the intensity of the shear-stress distribution acting over the beam’s cross-sectional area, and determine the resultant shear force acting on the segment AB. The shear force acting at the section is V = 35 kip. Show that INA = 872.49 in4.arrow_forwardIf the beam has a square cross section of 9 in. on each side, determine theabsolute maximum bending stress in the beam.arrow_forward
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