Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 14, Problem 14.47SP
Four wood boards
Problem 14.47 (a) the maximum bending stress (boards not glued together)
(b) the maximum bending stress if the boards are glued together
(c) the maximum shear stress in the middle glued joint
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A cantilever beam is subjected to a concentrated load of 2000N. The cross sectional dimensions of the double-tee beam are shown. Determine (a) the shear stress at point H, which is 17 mm below the centroid of the double-tee shape, (b) the shear stress at point K, which is 5 mm above the centroid of the double tee shape, and (c) the maximum horisontal shear stress in the double tee shape.
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Chapter 14 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 14 - Calculate the section modulus for: (a) a 6 -in-by-...Ch. 14 - Calculate the section modulus (with respect to the...Ch. 14 - Prob. 14.3PCh. 14 - Rework Problem 14.3 changing the orientation of...Ch. 14 - Assume that the timber member (a) of Problem 14.2...Ch. 14 - The structural steel built-up member (b) of...Ch. 14 - A round steel rod, 25 mm in diameter, is subjected...Ch. 14 - A square steel bar, 38 mm on each side, is used as...Ch. 14 - Calculate the moment strength for a W36302...Ch. 14 - Calculate the allowable bending moment for a solid...
Ch. 14 - The beams of cross sections shown are subjected to...Ch. 14 - A solid rectangular simply supported timber beam 6...Ch. 14 - A W1430 supports the loads shown. Calculate the...Ch. 14 - If the allowable shear stress is 100 MPa,...Ch. 14 - A steel pin 112 in diameter is subjected to a...Ch. 14 - A timber power-line pole is 10 in. in diameter at...Ch. 14 - Calculate the value of S and Z and the shape...Ch. 14 - For beams that have cross sections as shown for...Ch. 14 - Calculate the maximum load P that the beam shown...Ch. 14 - A 412 (S4S) hem-fir timber beam carries a...Ch. 14 - A simply supported W1636 A992 steel beam carries a...Ch. 14 - A W250115 steel wide-flange section supports a...Ch. 14 - Assume that the floor joist dimensions of Example...Ch. 14 - Calculate the allowable superimposed uniformly...Ch. 14 - A 3 -in.-by- 12 -in. (S4S) scaffold timber plank...Ch. 14 - For the following computer problems, any...Ch. 14 - For the following computer problems, any...Ch. 14 - For the following computer problems, any...Ch. 14 - Calculate the section modulus with respect to the...Ch. 14 - The timber box section (a) of Problem 14.29 is...Ch. 14 - A timber beam is subjected to a maximum bending...Ch. 14 - Rework Problem 14.31 assuming that the beam is...Ch. 14 - A 12 -in.-diameter steel rod projects 2 ft...Ch. 14 - Calculate the maximum bending stress in a W530101...Ch. 14 - A cantilever cast-iron beam is 6 ft long and has a...Ch. 14 - 14.36 Calculate the moment strength for a...Ch. 14 - A W813 steel wide-flange beam on a 20 -ft span is...Ch. 14 - A simply supported beam with a cruciform cross...Ch. 14 - A rectangular beam 100 mm in width and 250 mm in...Ch. 14 - The timber box section (a) of Problem 14.29 is...Ch. 14 - For the I-shaped timber beam shown, calculate the...Ch. 14 - 14.42 A steel wide-flange beam is oriented so that...Ch. 14 - A W1045steel wide-flange beam supports a uniformly...Ch. 14 - 14.44 A steel wide-flange section is subjected to...Ch. 14 - A W30108 steel wide-flange beam is simply...Ch. 14 - A W612 is strengthened with a 34 -in.-by- 34 -in....Ch. 14 - Four wood boards 1 in. by 6 in. in cross section...Ch. 14 - A lintel consists of two 8 -in.-by- 12 in. steel...Ch. 14 - A 50 -mm-by- 300 -mm scaffold timber plank, placed...Ch. 14 - A laminated wood beam is built up by gluing...Ch. 14 - A rectangular hollow shape carries loads as shown....Ch. 14 - For the beam shown, calculate the maximum tensile...Ch. 14 - 14.53 A box beam is built up of four -in.-by--in....Ch. 14 - 14.54 Find the value of the loads P that can be...Ch. 14 - 14.55 Solve Problem 14.54 assuming that the timber...Ch. 14 - Calculate the values of S and Z and the shape...Ch. 14 - 14.57 A is supported on simple supports on a -ft...
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- Considering a uniform beam of 1 m long simply supported at both ends, theBending moment is given by the following relation:arrow_forwardDraw the shear and bending-moment diagrams for a cantilever beam AB of span L supporting a uniformly distributed load warrow_forwardDraw the shear and bending-moment diagrams for a simply supported beam AB of span L subjected to a single concentrated load P at its midpoint Carrow_forward
- Draw the shear and bending-moment diagrams for the beam and loading shown below, and determine themaximum absolute value of the (a) shear, (b) bending moment.arrow_forwardFor the beam and its shear diagram shown below, the distance x is measured from the left end of the beam. The maximum moment occurs where x is ?arrow_forwardA timber dam is made of planking backed by vertical piles. The piles are built-in at the section A where they enter the ground and they are supported by horizontal struts whose center lines are 10 m above A. The piles are spaced 1 m apart between centers and the depth of water against the dam is 10 m. Assuming that the thrust in the strut is two-sevenths the total water pressure resisted by each pile, sketch the form of the bending moment and shearing force diagrams for a pile. Determine the magnitude of the bending moment at A and the position of the section which is free from bending moment. (Cambridge). i. 238 kN-m; 0.75 m from A. ii. 238 kN-m; 0.75 m from B.arrow_forward
- Draw the shear force and bending moment diagram for a cantilever beam subjected to uniformly distributed load.arrow_forwardDraw the shear force and bending moment diagrams for the beam shown belowarrow_forwardSelect the lightest-weight wide-flange beam with the shortest depth from Appendix B that will safely support the loading shown. The allowable bending stress is sallow = 24 ksi and the allowable shear stress of tallow = 14 ksi.arrow_forward
- A rectangular beam 80 mm x 40 mm is 3m long and simply supported at the ends. It carries a load of 1 kN at the mid-span. Determine the maximum bending stress induced in the beam.arrow_forwardSketch the shear and bending moment diagrams for the beams below, indicating values of shear force and bending moment at the key points. Use W = 100 N/m and L = 12 m.arrow_forwardSelect the lightest-weight wide-flange beam from Appendix B that will safely support the loading shown. The allowable bending stress sallow = 24 ksi and the allowable shear stress of tallow = 14 ksi.arrow_forward
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