Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 11.2, Problem 11.7P
The allowable bending stress is σallow = 24 ksi and the allowable shear stress of τallow = 14 ksi.
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Determine the maximum absolute values of the shear and bending moment.
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A T- section is the cross section of a loaded beam as shown.Given: U1= 20 kN/m; M1 = 100 kN-m; P1 = 120 kN
a.) Draw the shear diagram using graphical solutionb.) Determine maximum shearing stress.b.) Determine the shearing stress at the junction of the T-section.
Chapter 11 Solutions
Mechanics of Materials (10th Edition)
Ch. 11.2 - Determine the minimum dimension a to the nearest...Ch. 11.2 - of the rod to safely support the load. The rod is...Ch. 11.2 - The wood has an allowable normal stress of allow =...Ch. 11.2 - of the beam's cross section to safely support the...Ch. 11.2 - Determine the minimum dimension b to the nearest...Ch. 11.2 - The beam is made of steel having an allowable...Ch. 11.2 - Determine its dimensions if it is to be...Ch. 11.2 - Determine the minimum width of the beam to the...Ch. 11.2 - if P=10 kip.Ch. 11.2 - If the allowable bending stress is allow = 22 ksi...
Ch. 11.2 - The allowable bending stress is allow = 24 ksi and...Ch. 11.2 - The allowable bending stress is allow = 22 ksi and...Ch. 11.2 - The allowable bending stress is allow = 24 ksi and...Ch. 11.2 - Select the lightest-weight wide-flange beam from...Ch. 11.2 - The beam has an allowable normal stress of allow =...Ch. 11.2 - The beam has an allowable normal stress of allow...Ch. 11.2 - If each nail can support a shear force of 200 lb....Ch. 11.2 - If each beam is to be designed to carry 90 lb/ft...Ch. 11.2 - Determine its height h so that it simultaneously...Ch. 11.2 - The beam is constructed from four boards. If each...Ch. 11.2 - Prob. 11.15PCh. 11.2 - The beam has an allowable normal stress of allow....Ch. 11.2 - Determine the maximum cable force P that can...Ch. 11.2 - to safely support the load. The wood has an...Ch. 11.2 - and the wood has an allowable normal stress of...Ch. 11.2 - If the glue can support a shear stress of allow, =...Ch. 11.2 - If the allowable bending stress is allow = 6 MPa,...Ch. 11.2 - Determine the width b if the height h=2b.Ch. 11.2 - The allowable bending stress is allow = 24 ksi and...Ch. 11.2 - if allow = 30 ksi and allow = 15 ksi. The journal...Ch. 11.2 - if allow = 30 ksi and allow = 15 ksi. The journal...Ch. 11.2 - Select the lightest-weight wide-flange beam from...Ch. 11.2 - The allowable bending stress is allow = 30 ksi and...Ch. 11.2 - The allowable bending stress is allow = 30 ksi and...Ch. 11.2 - If the maximum bending stress is not to exceed...Ch. 11.2 - Determine the maximum load that can safely be...Ch. 11.4 - Determine the variation in the width was a...Ch. 11.4 - The tapered beam supports a uniform distributed...Ch. 11.4 - The tapered beam supports the concentrated force P...Ch. 11.4 - The beam is made from a plate that has a constant...Ch. 11.4 - Determine the variation in the depth d of a...Ch. 11.4 - Determine the variation of the radius r of the...Ch. 11.4 - Prob. 11.37PCh. 11.4 - Determine the variation in the width b as a...Ch. 11.4 - The tubular shaft has an inner diameter of 15 mm....Ch. 11.4 - Prob. 11.40PCh. 11.4 - Prob. 11.41PCh. 11.4 - The pulleys fixed to the shaft are loaded as...Ch. 11.4 - Prob. 11.43PCh. 11.4 - Prob. 11.44PCh. 11.4 - Prob. 11.45PCh. 11 - The cantilevered beam has a circular cross...Ch. 11 - Select the lightest-weight wide-flange overhanging...Ch. 11 - Prob. 11.3RPCh. 11 - Determine the shaft's diameter to the nearest...Ch. 11 - Select the lightest-weight wide-flange beam from...Ch. 11 - The simply supported joist is used in the...Ch. 11 - The simply supported joist is used in the...Ch. 11 - by 4-in. pieces of wood braced as shown. If the...
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- If the beam has a rectangular cross-section, then the shear-stress distribution will be parabolic. True or False?arrow_forwardhe maximum bending stress of a hollow shaft is equivalent to 80 N/mm2, while the maximum shear stress is equal to 70 N/mm2. The shaft rotates and loads are applied suddenly, with minor shocks. Determine the outer and inner diameter (in mm) of a hollow shaft that is required to carry a bending moment of 2100 N-m and a torque of 4100 N- m if the thickness of the hollow shaft is equal to 0.15 of the outer diameter of the shaft. Apply ASME Code for this problearrow_forwardThe stepped bar has a thickness of 10 mm. Determine the maximum moment that can be applied to its ends if the allowable bending stress is sallow = 150 MPa.arrow_forward
- The internal loadings at a critical section along the steel drive shaft of a ship are calculated to be a torque of 2300 lb # ft, a bending moment of 1500 lb # ft, and an axial thrust of 2500 lb. If the yield points for tension and shear are sY = 100 ksi and tY = 50 ksi, respectively, determine the required diameter ofthe shaft using the maximum shear stress theory.arrow_forwardThe beam is made of Douglas fir having an allowable bending stress of sallow = 1.1 ksi and an allowable shear stress of tallow = 0.70 ksi. Determine the width b if the height h = 2b.arrow_forwardShow that the shearing stress developed at the neutral axis of a beam with circular cross-section is fv = 4V/ 3πr2. Assume that the shearing stress is uniformly distributed across the neutral axis.arrow_forward
- (d) How far is the maximum compressive bending stress located from support A? (Consider x=0 at support A) (e) Calculate the maximum shear stress. (Express the stress in Pa or MPa) and determine the location of maximum shear stress with respect to neutral axis. (f) How far is the maximum shear stress located located from support A? (Consider x=0 at support A)arrow_forwardDetermine maximum shear stressarrow_forwardDetermine the minimum width of the beam to the nearest 1/4 in. that will safely support the loading of P = 8 kip. The allowable bending stress is sallow = 24 ksi and the allowable shear stress is tallow = 15 ksi.arrow_forward
- The maximum bending stress of a hollow shaft is equivalent to 80N/mm2, while the maximum shear stress is equal to 70 N/mm2.The shaft rotates and loads are applied suddenly, with minor shocks. Determine the outer and inner diameter (in mm) of a hollow shaft that is required to carry a bending moment of 2100 N-m and a torque of 4100 N-m if the thickness of the hollow shaftis equal to 0.15of the outer diameter of the shaft. Apply ASME Code for this problem.arrow_forwardDetermine the absolute maximum bending stress in the tubular shaft if di = 160 mm and do = 200 mmarrow_forwardA cold drawn steel rod of circular cross-section is subjected to a variable bending moment of 565 Nm to 1130 N-m as the axial load varies from 4500 N to 13 500 N. The maximum bending momentoccurs at the same instant that the axial load is maximum. Determine the required diameter of the rodfor a factor of safety 2. Neglect any stress concentration and column effect. Assume the followingvalues:Ultimate strength = 550 MPaYield strength = 470 MPaSize factor = 0.85Surface finish factor = 0.89Correction factors = 1.0 for bending= 0.7 for axial loadarrow_forward
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