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 14.24P
Calculate the allowable superimposed uniformly distributed load that may be placed on a structural steel wide flange
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QUESTION 3
If the allowable bending stresses for a beam in one application is 6 kip/in2 in tension. The cross-section of the beam is W8 x 40.
If the beam is 10 foot long and simply supported and has a concentrated load applied at x = 3 ft as shown below.
• Generate the shear force and bending moment diagram in terms of P;
• Based on the allowable maximum bending moment you just obtained above, calculate/ input the mazimm allowable value of the load P:
please, pay attention to units, and calculate your answer to 1 decimal place..
3 ft
7 ft
kip.
Draw the bending moment and shear diagrams for bar CD of the structure below.
Solve the problem below. Provide a clean solution. Label each points from A to E then draw the load, shear and moment diagram for each given beam. Indicate each important end points.
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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- load of 30kN/m. The second and fourth spans remain unloaded. Calculate the bending moments at B and C and draw the S.F. and B.M. diagrams.arrow_forwardA WT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAg - 2 m, Lac- 7 m, Lco- 4 m, PA- 14 kN, Wac- 8 kN/m. Consider the entire 13-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam.arrow_forwardA roller 30 lb/ft Show Transcribed Text B hinge Calculate the maximum in-plane shear and maximum bending stress for a rough cut 2 by 4 cross section.arrow_forward
- Considering only pure bending, determine the minimum section modulus for the component and loads shown. Assume ?? of 36,000 psi and a factor of safety of 1.67. (Hint: the part does not have to exceed the allowable stress) Do not forget to draw and calculate the diagram of shear force and bending moment The distances in the beam are in feet. The value of the load P1 and P4 is 2 kips. The value of the loads P2 and P3 is 6 kipsarrow_forwardchange of loading position and at points of zero shear. Use the Area Method. (You may use additional sheets if necessary) PROBLEM 5: For the beam loaded below, draw the shear and moment diagrams specifying values at all 20 kN 40 kN 10 kN/m 1 m 2 m 2m 2 m R1 TEarrow_forwardAWT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 3 m, LBC= 6 m, LCD= 4 m, PA = 10 kN, WBC = 7 kN/m. Consider the entire 13-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. A PA LAB B WBC LBC T WT305 x 41 LCD ↑ 88.9 mm. 211.1 mm D Xarrow_forward
- AWT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 3 m, LBc = 7 m, LCD = 2 m, PA = 17 kN, WBC = 10 kN/m. Consider the entire 12-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. PA LAB Answers: (a) σT = (b) oc = i i B WBC LBC LCD Ť WT305 x 41 88.9 mm 211.1 mm MPa. MPa. Darrow_forwardChapter 4: Practice problems f 1 kN, 2 kN and 3 kN at 1, 2 and 4 m 1. A cantilever beam of length 4 m carries point loads from the fixed end. Construct the shear force and bending moment diagrams for the cantilever. 1m A 1 kN 2m 8 4m 1m 4 kN C + 2. A simply supported beam of length 8 m carries point loads of 4 kN and 6 kN at a distance of 2 m and 4 m from the left end. Construct the shear force and bending moment diagram for the beam. 2m 2 kN 8 m C + 6 kN 2m D 3 kN D 4. Draw the shear force and bending moment diagram for a simply supported beam of length 9 m and carrying a uniformly distributed load of 10 kN/m for a distance of 6 m from the left end. Also calculate the maximum B.M. on the section. 3. A cantilever of length 2.0 m carries a uniformly distributed load of 2 kN/m length over the whole length and a point load of 3 kN at the free end. Draw the S.F. and B.M. diagrams for the cantilever beam. References: [1] A text book of Mechanics of materials by Dr.R.K.Bansal, Laxmi…arrow_forwardAWT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 3 m, LBc = 7 m, LcD = 1 m, PA = 9 kN, WBC = 11 kN/m. Consider the entire 11-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. A PA LAB B WBC LBC C Z + WT305 x 41 LCD 88.9 mm 211.1 mm Xarrow_forward
- AWT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 2 m, LBC= 5 m, LcD = 1 m, PA = 12 kN, WBC = 12 kN/m. Consider the entire 8-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. A PA LAB Answers: (a) OT = (b) oc = B i 62.19 i 25.81 WBC LBC 1 WT305 x 41 C LCD 88.9 mm 211.1 mm MPa. MPa. D xarrow_forward7. A 33 m beam has two supports. It overhangs each support by 5 m. The beam carries a point load of 600 kN at the extreme right end and another point load of 900 kN at 8 m from the left end. It also has a distributed load of 159 kN/m over its entire length. Calculate the support reactions. left support = 3275.7 kN; right support = 3471.3 kN (Ans.)arrow_forwardSelect the correct Shear and Bending Moment Diagrams for the loading and supports shown. Note: critical points are not labeled. The given loads are P = 2 kips, w₁ = 0.5 kips/ft and IMI = 12 kip ft. P P 6 ft | P 100 6 ft 6 ft Marrow_forward
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