Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840728
Author: Limbrunner
Publisher: PEARSON
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Chapter 14, Problem 14.19P
Calculate the maximum load P that the beam shown can carry based on plastic moment
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A rectangular bar having width twice the depth is used as a beam. The beam is made of mild steel material having elastic modulus of 2.1 x 105 N/mm? and it
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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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- A cantilever beam of cross-section 90 mm. width 120 mm deep carries a UDL of 12 KN/m. over the entire length and a concentrated load of 15 KN at the right end. Find the bending stress in the beam, when the length of beam is 10 m.arrow_forwardA beam of size 150 mm wide, 250 mm deep carries a uniformly distributed load of w kN/m over entire span of 4 m. A concentrated load 1 kN is acting at a distance of 1.2 m from the left support. If the bending stress at a section 1.8 m from the left support is not to exceed3.25 N/mm2 find the load w.arrow_forwardCalculate the maximum def lection δmaxof a uniformly loaded simple beam if the spanlength L = 2.0 m, the intensity of the uniform loadq =2.0 kN/m, and the maximum bending stressσ = 60 MPa.The cross section of the beam is square, and thematerial is aluminum having modulus of elasticityE = 70 GPa.arrow_forward
- Draw diagrams of shear force and bending moment for beam and loading shown. Calculate the maximum tensile and compressive stresses in the beam. X=407 N/m Y=2.21 m Z=51,4 mmarrow_forwardA overhang beam hanged at B(6m) has two loads of 8 & 4 kn at 6 and 9 m. Calulate its moment using castigliano's theorem. Also calculate Strain Energy.arrow_forwardA beam subjected to a bending test has internal vertical shear force V=2000N. The cross-sectional area is shown in the figure. What is the maximal shear stress? (Hint: the area moment (Q) is given by bh2/8, and the area moment of inertia of the cross-sectional area is equal to bh3/12, b is the width, h is the height).arrow_forward
- A beam 8 m span is freely supported at its ends and a udl of 40 KN/m is spread over the whole span of the heam. In addition a concentrated load of 150 KN is applied at a distance of 3 m from the left support. The section of the beam is 200 mm wide and 400 mm deep. Find the maximum bending stress induced in the beam section.arrow_forwardA cantilever beam has a length L =12 ft anda rectangular cross section (b = 16 in., h = 24 in.). Alinearly varying distributed load with peak intensityq0 acts on the beam.(a) Find peak intensity q0 if the deflection at joint Bis known to be 0.18 in. Assume that modulusE = 30,000 ksi.(b) Find the location and magnitude of the maximumrotation of the beam.arrow_forwardA beam 8 m span is freely supported at its ends and a udl of 40 KN/m is spread over the whole span of the beam. In addition a concentrated load of 150 KN is applied at a distance of 3 m from the left support. The section of the beam is 200 mm wide and 400 mm deep. Find the maximum bending stress induced in the beam section.arrow_forward
- A simply supported beam of span 3.0 m has a cross-section 120 mm x 180mm. If the permissible stress in the material of the beam is 10N / mm ^ 2 determine (i)maximum udl it can carry (ii) maximum concentrated load at a point I m from support it can carry. Neglect moment due to self weight.?arrow_forwardFind the deflection midspan of the simple beam shown in the accompanying illustration. Use Castigliano’s Theorem, E = 200,000 MPa and I = 2.25 x 10⁸ mm⁴arrow_forwardFor the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. Label the diagrams properly and provide values at all key points.arrow_forward
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