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 15P
To determine
Sketch the shear stress intensity distribution over the beam cross-section area.
Find the resultant shear force acting in the segment AB.
Show the value of the moment of inertia about the neutral axis is
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Sketch 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.
*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
*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. 7-12
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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- The 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 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_forward7-25. Determine the maximum shear stress in the T-beam at section C. Show the result on a volume element at this point. 10 kN/m A |C 3 m -1.5 m--1.5 m-| 150 mm 150 mm |30 mm E - 30 mm Probs. 7-24/25arrow_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_forward12-26. Determine the maximum shear stress acting in the fiberglass beam at the section where the internal shear force is maximum. 3 kNim 25 kNim -2 m- 100 mm 18 mm 150 mm 12 mm 100 mm 18 mmarrow_forward7-21. Determine the internal normal force, shear force, and moment at points E and F of the compound beam. Point E is located just to the left of 800 N force. A 800 N 1200 N B 5 400 N/m 1.1 -1.5 m-1 m2 m-1 m-1.5 m- Prob. 7-21 F -1.5 m-arrow_forward
- 7-17. 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_forwardDetermine the resultant internal normal force, shear force, and bending moment at point C in the beam.arrow_forwardTwo 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_forward
- Determine the location e of the shear center, point O, for the thin-walled member. The member segments have the same thickness t.arrow_forwardIf 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_forward12-22. 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 = 0.1747 m from the bottom and Ina = 02182(10) m. 20p mm 30 mm 250 mm 30arrow_forward
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