Statics and Mechanics of Materials, Student Value Edition (5th Edition)
5th Edition
ISBN: 9780134382890
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 15.2, Problem 12P
The 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
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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".
A 20 ft long simply supported beam has 15-inch outside diameter with 1-inch-thick circular section. The beam carries 10 lb/ft uniformly distributed load from the right support to its middle span. Another 15 lb concentrated load applied downward in the left-end support. Determine the maximum bending stress (k-lb/ft2) of the simply supported beam.
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 15 Solutions
Statics and Mechanics of Materials, Student Value Edition (5th Edition)
Ch. 15.2 - Determine the minimum dimension a to the nearest...Ch. 15.2 - Prob. 2FPCh. 15.2 - Prob. 3FPCh. 15.2 - Determine the minimum dimension h to the nearest...Ch. 15.2 - Prob. 5FPCh. 15.2 - Select the lightest W410-shaped section that can...Ch. 15.2 - The beam is made of timber that has an allowable...Ch. 15.2 - Determine the minimum width of the beam to the...Ch. 15.2 - Determine the minimum width of the beam to the...Ch. 15.2 - The brick wall exerts a uniform distributed load...
Ch. 15.2 - Select the lightest-weight wide-flange beam from...Ch. 15.2 - Prob. 6PCh. 15.2 - Select the lightest-weight wide-flange beam with...Ch. 15.2 - Select the lightest-weight wide-flange beam from...Ch. 15.2 - Select the lightest W360 wide-flange beam from...Ch. 15.2 - Investigate if the W250 58 beam can safely...Ch. 15.2 - The beam is constructed from two boards. If each...Ch. 15.2 - The joists of a floor in a warehouse are to be...Ch. 15.2 - The timber beam has a width of 6 in. Determine its...Ch. 15.2 - The beam is constructed from four boards. If each...Ch. 15.2 - The beam is constructed from two boards. If each...Ch. 15.2 - If the cable is subjected to a maximum force of P...Ch. 15.2 - If the W360 45 wide-flange beam has an allowable...Ch. 15.2 - If P = 800 lb, determine the minimum dimension a...Ch. 15.2 - If a = 3 in. and the wood has an allowable normal...Ch. 15.2 - The beam is constructed from three plastic strips....Ch. 15.2 - If the allowable bending stress is allow = 6 MPa,...Ch. 15.2 - The beam is made of Douglas fir having an...Ch. 15.2 - Select the lightest-weight wide-flange beam from...Ch. 15.2 - Draw the shear and moment diagrams for the shaft,...Ch. 15.2 - Draw the shear and moment diagrams for the shaft,...
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- 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 mmarrow_forwardA log that is 2 ft in diameter is to be cut into a rectangular section for use as a simply supported beam. If the allowable bending stress is sallow = 8 ksi, determine the largest load P that can be supported if the width of the beam is b = 8 in.arrow_forwardA log that is 2 ft in diameter is to be cut into a rectangular section for use as a simply supported beam. If the allowable bending stress is sallow = 8 ksi, determine the required width b and height h of the beam that will support the largest load possible. What is this load?arrow_forward
- A timber beam of rectangular section carries a load of 2 kN at mid-span. The beam is simply supported over a span of 3.6 m. If the depth of section is to be twice the breadth, and the bending stress is not to exceed 9 N/mm2 , determine the cross-sectional dimensions.arrow_forwardThe cross section of a beam loaded with V=20.1 kN is shown. Determine the shear stress at point A given that a=0.3 m, b=0.5 m, and c=0.1 m, and the moment of inertia about its horizontal neutral axis equals 0.007533 m4. 0.2 m 0.2 m 0.2 m O 133.407 kPa O 80.044 kPa O 26.681 kPa O 160.088 kPa 0 13.341 kPa O 33.352 kPa O 6.670 KPa O 66.704 kPaarrow_forwardA beam fabricated from western white pine has been reinforced by bonding steel strips on its top and bottom 1.5 ksi in the surfaces as shown. If the design is limited to wood = 1.5 ksi in the wood and a steel wood and steel = 35.6 ksi in the steel, determine the maximum bending moment if the beam bends about its vertical axis of symmetry. L3 Given: • L₁= 10 in • L₂ L₂ = 0.9 in • L3= 5.3 in Mmar SEHERAPECES SANTREMANEN La prender PERANAN PE P number (rtol-0.01, atol=1e-05) STEEL E WOOD N.A. L₁ kip. in L₂ L₂ Phuarrow_forward
- The beam has a rectangular cross-section as shown in Fig.5. (1) Draw the shear-force and bending-moment diagrams for this beam. (2) Determine the largest load P that can be supported on its overhanging ends so that the bending stress does not exceed σmax = 10 MPa.arrow_forwardThe box beam is made by nailing four 2-in. by 8-in. plankstogether as shown. Given that w0 = 300 lb/ft, find the largestallowable force P if the bending stress is limited to 1400 psi.arrow_forwardThe 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 joist are notched as shown. If the allowable shear stress is tallow = 350 psi and the allowable bending stress is s allow = 1700 psi, determine the smallest height h so that the beam will support a load of P = 600 lb. Also, will the entire joist safely support the load? Neglect the stress concentration at the notch.arrow_forward
- The 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 overhang beam is constructed using two 2-in. by 4-in. pieces of wood braced as shown. If the allowable bending stress is sallow = 600 psi, determine the largest load P that can be applied. Also, determine the maximum spacing of nails, s, along the beam section AC if each nail can resist a shear force of 800 lb. Assume the beam is pin connected at A, B, and D. Neglect the axial force developed in the beam along DA.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
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