MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Textbook Question
Chapter 11.2, Problem 5FP
Determine the minimum dimension b to the nearest mm of the beam's cross section to safely support the load normal stress of σallow = 12 MPa and an allowable shear stress of τallow = 1.5 MPa.
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The beam has a square cross section and is made of
wood having an allowable shear stress of Tallow=
1.4 ksi. If it is subjected to a shear of V= 1.5 kip,
determine the smallest dimension a of its sides.
Sketch the shear stress distribution acting across
the beam's cross section.
Hint: Construct the stress distribution in 2D similar
to in-class examples, rather than isometrically
similar to the textbook examples for clarity.
V = 1.5 kip
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.
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 web
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 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_forwardA |100 lb B +2+ 4 ft - 180 lb с - 3 -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_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_forwardCalculate the maximum normal and shear stress values for the attached beam at x = 8.5 m. Determine the distribution of the shear stress in the cross-section in the y-axis direction at y=55 mm, y=109.99 mm and y=110.01 from top. The dimensions of the beam are a = 5.5 m, b = 3.0 m and c = 2.5 m, and the cross-sectional dimensions are d = 170 mm and h = 130 mm. The distributed load of the beam has the value q = 3kN / m and the force F = 10kN.arrow_forwardThe joists of a floor in a warehouse are to be selected using square timber beams made of oak. 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 14 in. The allowable bending stress is sallow = 4.5 ksiand the allowable shear stress is tallow = 125 psi.arrow_forward
- The beam is constructed from three boards. Determine the maximum loads P that it can support if the allowable shear stress for the wood is tallow = 400 psi. What is the maximum allowable spacing s of the nails used to holdthe top and bottom flanges to the web if each nail can resist a shear force of 400 lb?arrow_forwardDetermine the maximum tensile (fot) and compressive (foc) stresses (psi) developed in the overhanging beam. The cross-section is an inverted T with the given properties 1,500 lb 3,000 lb 1,000 lb 7 in N.A. 2 in 6 ft 6 ft = 84 in R1 R2 3.arrow_forwardDetermine the stress distribution of the beam in cross section A-B when its dimensions are a = 4.0 m, b = 0.5 m, c = 124 mm, and d = 100 mm. The magnitude of the force P is 35 kN. How much are in cross section A-B normal force shear force bending moment normal stress at the top of the beam normal stress at the lower surface of the beam maximum shear stress shear stress at y = 62 mm from the lower levelarrow_forward
- The timber beam has a width of 6 in. Determine its height h so that it simultaneously reaches its allowable bending stress sallow = 1.50 ksi and an allowable shear stress of tallow = 50 psi. Also, what is the maximum load P that the beam can then support?arrow_forwardThe T-beam is subjected to the loading shown. Determine the maximum transverse shear stress in the beam at the critical section. A 2 m 20 kN 2 m 8 kN/m 3 m B 100 mm 100 mm 20 mm 20 mmarrow_forwardIf the beam is made of material having an allowable tensile and compressive stress of (sallow)t = 125 MPa and (sallow)c = 150 MPa, respectively, determine the maximum moment M that can be applied to the beam.arrow_forward
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