Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Textbook Question
Chapter 11.2, Problem 12P
If each beam is to be designed to carry 90 lb/ft over a simply supported span of 25 ft, determine the dimension a of its square cross section to the nearest
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Determine the minimum
depth, h, of the beam to the nearest
4 kip/ft
1/8" that will safely support the
loading shown. The allowable
bending stress is oallow
= 21 ksi
and the allowable shear stress is
12 ft
6 ft
= 10 ksi. The beam has a
Tallow
uniform thickness of 3".
2. If the allowable bending stress for the pictured
overhanging beam is 6 MPa, determine the minimum
dimension d of the beam's cross-sectional area to the
nearest mm.
8 kN/m
4 m
B
2 m-
12 kN
25 mm
75 mm
125 mm
75 mm
25 mm
The 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.
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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- A wide flange beam as shown below is subjected to a shear force V. Using the dimensions of the cross section, determine the following quantities: a. τmax in the webb. τmin in the webc. τmax/ τaverage of the webarrow_forwardThe strut has a square cross section a by a and is subjected to the bending moment M applied at an angle as shown. Determine the maximum bending stress in terms of a, M, and u. What angle u will give the largest bendingstress in the strut? Specify the orientation of the neutral axis for this case.arrow_forwardthe 1m beam shown is subjected to 6 kN. if the beams has a rectangular cross section as shown where b = 0.2 m h = 0.5 m the maximum bending stress on the beam at section a-a when d = 0.3 m is kPa aarrow_forward
- Determine the bending stress at point A of the beam, and the orientation of the neutral axis. Using the method in Appendix A, the principal moments of inertia of the crosssection are Iz = 8.828 in4 and Iy = 2.295 in4, where z and y' are the principal axes. Solve the problem using Eq.arrow_forwardThe double-web girder is constructed from two plywood sheets that are secured to wood members at its top and bottom. The allowable bending stress for the wood is σallow = 8 ksi and the allowable shear stress is τallow = 3 ksi. The fasteners are spaced s = 6 in. and each fastener can support 400 lb in single shear. Determine the maximum load P that can be applied to the beam.arrow_forwardThe beam is to be used to support the machine, which exerts the forces of 6 kip and 8 kip. If the maximum bending stress is not to exceed sallow = 22 ksi, determine the required width b of the flanges.arrow_forward
- Determine 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_forwardThe bar has a thickness of 1 in. and the allowable bending stress is sallow= 30 ksi. Determine the maximum moment M that can be applied.arrow_forwardThe bar has a thickness of 0.5 in. and is subjected to a moment of 600 lb # ft. Determine the maximum bending stress in the bar.arrow_forward
- The shaft is subjected to the vertical and horizontal loadings of two pulleys D and E as shown. It is supported on two journal bearings at A and B which offer no resistance to axial loading. Furthermore, the coupling to the motor at C can be assumed not to offer any support to the shaft. Determine the required diameter d of the shaft if the allowable bending stress is sallow = 180 MPa.arrow_forwardDetermine the maximum tensile and compressive bending stress in the beam if it is subjected to a moment of M = 4 kip # ft.arrow_forwardThe bar is subjected to a moment of M = 60 Nm. Determine the smallest radius r of the fillets so that an allowable bending stress of σallow = 240 MPa is not exceeded.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