Statics and Mechanics of Materials, Student Value Edition (5th Edition)
5th Edition
ISBN: 9780134382890
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 15.2, Problem 9P
Select the lightest W360 wide-flange beam from Appendix B that can safely support the loading. The beam has an allowable normal stress of σallow = 150 MPa and an allowable shear stress of τallow = 80 MPa. Assume there is a pin at A and a roller support at B.
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A box is produced by joining the wooden and plywood rectangular elements with screws as shown in the section. The shear force that each screw used in the cross section joint can safely carry is V = 2 kN. If the beam element created in this way is loaded from the middle of the span with a load of P = 100 kN, find the screw gap a and the total number of screws to be used in the beam element. (Cross-section dimensions t = 15mm, b = 150mm, c = 30mm, h = 180mm; beam support span L = 5m)
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Chapter 15 Solutions
Statics and Mechanics of Materials, Student Value Edition (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 box beam is made by nailing four 2-in. by 8-in. plankstogether as shown. Given that w0 = 300 lb/ft, find the largestallowable force P if the bending stress is limited to 1400 psi.arrow_forwardA beam made of timber is required to span 5m and has dimensions of 75mm x 250mm. If the beam is simply supported and carries a point load of 40KN. Determine the safe allowable stress due to bending. Let: M max= WL/4 Mr= fz Z=bd2/6arrow_forwardThe overhanging beam ABC of span 5.4 m is constructed of a W360 X 216 rolled-aluminium shape. It carries uniformly distributed load, ω of 35 kN/m and point loads of P1 = 30 kN and P2 = 25 kN. b) Find the maximum shear force and maximum bending moment of the beam. After that, Evaluate factor of safety for the beam shown, if the ultimate normal stress for aluminium is 110 MPa.arrow_forward
- AW410 x 60 standard steel shape is used to support the loads shown on the beam in the figure. Assume P = 125 kN, w = 25 kN/m, a = 3.1 m, and b = 2.0m. Determine the magnitude and location of the maximum bending stress in the beam. A omax a B a Pin b MPa E W D a Earrow_forwardProblem 1: Slab design using the ACI moment coefficients Design the continuous slab shown using the ACI moment coefficients assuming the concrete weighs 24 kN/m3 and that a service live load of 15 kN/m is to be supported. The slabs are built integrally with the end supports, which are spandrel beams. fy= 420 MPa and f'c = 28 MPa. Draw a plan and section showing all reinforcements along the slab. E 7m - 6 m + 7m --arrow_forwardProblem 3 only, solve carefully, include the units in every step and draw the diagram. Thanks! In a 2.5 m cantilevered I-beam, 2500 kg weight is applied at 0.75 meter from the free end. If the allowable stress inbeam is 120 Mpa, determine theA. section modulus, in3 B. The base and height of the beam if the base is 75% of its height, mmarrow_forward
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- Find the maximum stress in the beam if it is fixed at the left end,free at the right end subjected to a uniform distributed load of200 lb/in.arrow_forwardThe beam is supported by a pin at point A and a roller at kN point B. A distributed load of W₁ = 8 - and an applied m force of F₁ = 12 kN are applied to the beam. The beam has an allowable bending stress of allow = 6 MPa. Neglect the weight and thickness of the beam. Take the origin for all functions to be at A., i.e. start at the left and go right. Must use positive sign convention for V and M. d3 1 d3 d1 W1 d1 B O h d2 F₁ Values for the figure are given in the following table. Note the figure may not be to scale. Dimensions for the whole beam Variable Value d₁ 4 m d₂ 2 marrow_forwardQ1/ A composite beam is made of wood and reinforced with steel strap located on its bottom side. It has the cross-sectional area shown in fig. if the beam is subjected to a bending moment of M=2kN.m, determine the normal stress at wood and steel. Take Ew=12Gpa and Est=200Gpa. 150mm Wood en 20mm Steel 150mmarrow_forward
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