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 14.41SP
For the I-shaped timber beam shown, calculate the maximum vertical shear force that will induce a maximum horizontal shear stress of
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Draw the shear-force and bending-moment diagram for the beam shown. Assume the upward reaction provided by the ground to be uniformly distributed. Let a = 5.0 ft, b = 3.4 ft, P = 25 kips, and w = 1.1 kips/ft. Label all significant points on each diagram. Determine the maximum value of (a) the internal shear force and (b) the internal bending moment.Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number.
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of q = 300 N/m. Calculate
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(b) the position of the neutral axis, and
(c) the maximum compressive and tension stress in the beam due to the bending.
2m
3 KN
3m
B
Bm
1 KN
100 mm
100 mm
20 mm
H
30 mm
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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- Determine the location of the shear center for the beams having the cross-sectional dimensions shown in the figures. All members are to be considered thin walled, and calculations should be based on the centerline dimensions. the expected solution is provided in the picture below.arrow_forwardDetermine the location of the shear center for the beams having the cross-sectional dimensions shown in the figures. All members are to be considered thin walled, and calculations should be based on the centerline dimensions.arrow_forwardbeam carries a concentrated load (10 KN) and a total uniformly distributed load of (5 KN/m) as shown in Fig .Determine the maximum tensile and compressive bending stresses developed in the beam if the T- section is inverted.arrow_forward
- For the beam shown, derive the expressions for V and M, and draw the shear force and bending moment diagrams. Calculate the shear force V and bending moment M at a cross section located 0.5 m from the fixed support. Neglect the weight of the beam. (Show complete calculation and step by step process. Show free body diagram)arrow_forwardFor the beam shown, the magnitude of the distributed load is wo = 11.8 kN/m and the beam length is L = 7.9 m. (a) derive equations for the shear force Vand the bending moment M for any location in the beam. Place the origin at point A. (b) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Use your diagrams to determine the maximum shear force and maximum bending moment. Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number. Wo A В L. Answer: Vmax = kN Mmax kN•marrow_forwardCalculate the normal stress, shear stress, and bending deformation of the beam. (Point A has a pinned support, while point C has a roller support)arrow_forward
- Determine the values of shear and moment at points where changes in loads occur using shear and moment diagram. Compute the moment of inertia of the beam cross-section about the neutral axis. Compute the maximum shear, tensile, and compressive flexural stresses. Write the moment equation of the beam. Draw the elastic curve. Concentrated Load = 350N, Triangular Load = 1700N/m Dimensions: Length = 1.0(2) = 2.0mm, Thickness = 40mm, Height = 200mm, Height - Thickness = 160mmarrow_forwardFor the beam shown on the picture select the corresponding shear force and bending moment diagrams from belowarrow_forwardFor the beam shown, the magnitude of the distributed load is Wo = 10.4 kN/m and the beam length is L = 4.8 m. (a) derive equations for the shear force Vand the bending moment M for any location in the beam. Place the origin at point A. (b) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Use your diagrams to determine the maximum shear force and maximum bending moment. Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number. Wo A L Answer: Vmax = kN Mmax = kN•m Save for Later Attempts: 0 of 1 used Submit Answerarrow_forward
- A beam of I section 200 mm wide and 300mm deep with flange and web thickness 20 mm is used as a simply supported beam over a span of 7 m.the beam carries a distributed load of 5 kn/m over the whole span and a concentrated load of 20 kn at mid span determine the maximum bending stress set up and sketch the stress distribution.arrow_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_forward41. The wide-flange I beam as shown is 20 ft. long. It is fixed at one end and free at the other. A twisting moment of 30,000 lb-in. is applied at the free end. If E=30×10° psi and G =12x10° psi, compute the maximum normal and shearing stresses due to bending and the maximum shearing stress due to twist. What is the angle of twist of the beam at the free end? 10.5" 1.368" 0.845" 10" prob 41arrow_forward
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Bending Stress; Author: moodlemech;https://www.youtube.com/watch?v=9QIqewkE6xM;License: Standard Youtube License