MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Chapter 11.2, Problem 4FP
of the beam's cross section to safely support the load. The wood has an allowable normal stress of σallow = 2 ksi and an allowable shear stress of τallow = 200 psi.
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Determine the shear stress (in Mpa) in the 23.5-mm-diameter pin at A that support the beam if P = 28.36 kN, a = 2.25 m, and b = 6.56 m.
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Chapter 11 Solutions
MECHANICS OF MATERIALS
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 the minimum width of the beam to the...Ch. 11.2 - if P=10 kip.Ch. 11.2 - The beam has an allowable normal stress of allow...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 - 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 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 - The tapered beam supports a uniform distributed...Ch. 11.2 - Determine the variation in the depth d of a...Ch. 11.2 - Prob. 41PCh. 11.2 - The pulleys fixed to the shaft are loaded as...Ch. 11.2 - Prob. 43PCh. 11.2 - Prob. 44PCh. 11 - The cantilevered beam has a circular cross...Ch. 11 - Select the lightest-weight wide-flange overhanging...Ch. 11 - Prob. 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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- The simply supported joist is used in the construction of a floor for a building. In order to keep the floor low with respect to the sill beams C and D, the ends of the joists are notched as shown. If the allowable shear stress is tallow = 350 psi and the allowable bending stress is sallow = 1500 psi, determine the height h that will cause the beam to reach both allowable stresses at the same time. Also, what load P causes this to happen? Neglect the stressconcentration at the notch.arrow_forwardDetermine the minimum dimension b to the nearest mm of the beam’s cross section to safely support the load. The wood has an allowable normal stress of sallow = 12 MPa and an allowable shear stress of tallow = 1.5 MPa.arrow_forwardIn a 2.5 cantilevered I-beam, 2500 kg weight is applied at 0.75 meter from the free end. If the allowable stress in beam is 120 Mpa, determine the section modulus and The base and height of the beam if the base is 75% of its height mm.arrow_forward
- Determine the average shear stress developed in the nails within region AB of the beam. The nails are located on each side of the beam and are space 100 mm apart. Each nail has a diameter of 4 mm. Take P = 2kN. = Hint: Think carefully about the number of nails transferring shear stress from board-to-board. 2 kN/m A B -1.5 m 1.5 m 100 mm + 20 mm 40 mm 200 mm 20 mm 200 mmarrow_forwardDetermine the moment M that must be applied to the beam in order to create amaximum stress of 90 MPa. Also sketch the stress distribution acting over the cross section.arrow_forwardThe compound wooden beam is connected together by a bolt at B. Assuming that the connections at A, B, C, and D exert only vertical forces on the beam, determine the required diameter of the bolt at B and the required outer diameter of its washers if the allowable tensile stress for the bolt is 1st2allow = 150 MPa and the allowable bearing stress for the wood is 1sb2allow = 28 MPa. Assume that the hole in the washers has the same diameter as the bolt.arrow_forward
- The allowable shear stress is Tallow 805 psi. The supports at A and B are smooth. -3 ft 6 ft - 3 ft. 2 in. 6 in. I in. 2 in. I in. Part A Determine the largest intensity w of the distributed load that the member can support. Express your answer to three significant figures. vec Wmax = kip/ftarrow_forwardA laminated spring Im long is built in 100 mm x 10 mm plates. If the spring is to carry a load of 10 kN at its centre, determine the number of plates required for the spring. Take allowable bending stress as 150 MPa.arrow_forwardA typical method of temporarily securing a steel beam onto a column is by using a seat angle with bolts through the column flange. Two 12-mm-diameter bolts are used to fasten the 10-mm thick seat angle to the column. The bolts must carry the beam load of 22 kN in single shear. Determine the average shear stress developed in each bolt and the average bearing stress developed between a bolt and the seat angle.arrow_forward
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Mechanics of Materials Lecture: Beam Design; Author: UWMC Engineering;https://www.youtube.com/watch?v=-wVs5pvQPm4;License: Standard Youtube License