Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 15.2, Problem 23P
Select the lightest-weight wide-flange beam from Appendix B that will safely support the loading. The allowable bending stress is σallow = 24 ksi and the allowable shear stress is τallow = 14 ksi.
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The 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 joists are notched as shown. If the allowable shear stress is tallow = 350 psi and the allowable bending stress is sallow = 1500 psi, determine the height h that will cause the beam to reach both allowable stresses at the same time. Also, what load P causes this to happen? Neglect the stressconcentration at the notch.
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.
The 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.
Chapter 15 Solutions
Statics and Mechanics of Materials (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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- The 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_forward1. For the simply supported beam with a T-shape cross-section as shown below, a- Draw the shear and moments diagram of the beam. b- Determine the maximum normal bending stress and specify its location. C- If the beam made from two boards determines the maximum shear stress in the glue necessary to hold the boards together along the seam where they are joined. d- Determine the shear stress at point B. 4 m 6.5 kN/m 6m- Glue 150 mm 30 mm 150 mm 30 mmarrow_forwardDraw the shear and moment diagram for the given loadings of beam below. Value of P = 125kN. If the maximum moment is 800 kN-m, what is the value of P?Determine the maximum flexural stress and its moment of inertia.arrow_forward
- Select the lightest-weight wide-flange beam from Appendix B that will safely support the loading. The allowable bending stress is sallow = 22 ksi and the allowable shear stress is tallow = 12 ksi.arrow_forwardDetermine the internal normal force and shear force, and the bending moment in the beam at points C and D. Assume the support at B is a roller. Point C is located just to the right of the 8-kip load. For your explanation section, complete a FBD of the other side of the beam from the version you did to solve the problem. 8 kip 40 kip · ft A to to D B- 8 ft 8 ft- -8 ftarrow_forwardDraw 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.arrow_forward
- Two designs for a beam are to be considered. Determine which one will support a moment of M = 140 kN . m with the least amount of bending stress. What is that stress?arrow_forwardDetermine 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".arrow_forwardDetermine the minimum width of the beam to the nearest 1/4 in. that will safely support the loading of P = 8 kip. The allowable bending stress is sallow = 24 ksi and the allowable shear stress is tallow = 15 ksi.arrow_forward
- Determine the bending stress in a 5-meter simple beam with a concentrated load of 1 kN at midspan. The beam has a rectangular section with b = 2 in and h = 4 in.arrow_forwardDetermine the maximum positive normal bending stress that occurs in member ABC of the engine crane given the following information: Engine weight = 1500 lb Member ABC height (vertical cross sectional dimension) = 7 in Member ABC width (horizontal cross sectional dimension) = 1 in Express your answer to the nearest whole psi value. In your work, draw the shear and moment diagram for member ABC. For the question above, determine the maximum shear stress in member ABC that occurs between points A and B. Express your answer using the nearest whole psi value.arrow_forwardThe cantilevered beam uses a W360x79 wide-flange section. The geometric properties of the section are given by the table. The beam is subjected to the concentrated load P and to the couple moment Mo clockwise such that the bending moment just to the right of point B is M = 25.6 kN.m. What is the percentage of the bending moment resisted by the stresses acting on the web? М L - L Harrow_forward
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Mechanics of Materials Lecture: Beam Design; Author: UWMC Engineering;https://www.youtube.com/watch?v=-wVs5pvQPm4;License: Standard Youtube License