Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 15.2, Problem 20P
The beam is constructed from three plastic strips. If the glue can support a shear stress of τallow = 8 kPa, determine the largest magnitude of the loads P that the beam can support.
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Can you include givens and a FBD in your solution? thank you
The double-web girder is construction from two
plywood sheets that are secured to wood members
at its top and bottom. If each fastener can support
600 lb in single shear, determine the required
spacing s of the fasteners needed to support the
loading P = 3000 lb. Assume A is pinned and B is a
roller.
Hint: Think carefully about the number of fasteners
transferring stress from one piece of the cross-
section to another.
2 in.
2 in.
10 in.
A
||-6 in.||
0.5 in.
0.5 in.
2 in.
T2 in.
0000000000000000
000
4 ft-
+4 ft
B
20 mm
20 mm
4. The simply supported beam on the right
is built up from three boards by nailing
them together as shown. If P = 12 kN,
determine the maximum allowable spacing
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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 compound wooden beam is connected together by a bolt at B. Assuming that the connections at A, B, C, and D exert only vertical forces on the beam, determine the required diameter of the bolt at B and the required outer diameter of its washers if the allowable tensile stress for the bolt is 1st2allow = 150 MPa and the allowable bearing stress for the wood is 1sb2allow = 28 MPa. Assume that the hole in the washers has the same diameter as the bolt.arrow_forwardDetermine the shear stress (in Mpa) in the 28.54-mm-diameter pin at B that support the beam if P = 35.79 kN, a = 2.76 m, and b = 5.95 m.arrow_forwardThe beam is constructed from three boards. Determine the maximum loads P that it can support if the allowable shear stress for the wood is tallow = 400 psi. What is the maximum allowable spacing s of the nails used to holdthe top and bottom flanges to the web if each nail can resist a shear force of 400 lb?arrow_forward
- Determine the weight of the counterweight W that should be used. Calculate the shear forces and bending moments and draw the diagrams.arrow_forwardDetermine the largest intensity w of the distributed load that the member can support if the allowable shear stress is tallow = 800 psi. The supports at A and B are smooth.arrow_forwardThe beam is made from two plastic pieces glued together at the seam A. If it is subjected to the loading shown, determine the vertical shear force resisted by the flange of the beam at the critical section (in pounds). The supports at C and D exert only vertical reactions on the beam.arrow_forward
- The pin is used to connect the three links together. Due to wear, the load is distributed over the top and bottom of the pin as shown on the free-body diagram. If the diameter of the pin is 0.40 in., determine the maximum bending stress on the cross-sectional area at the center section a–a. For the solution it is first necessary to determine the load intensities w1 and w2.arrow_forwardThe railcar docklight is supported by the 1 8-in.-diameter pin at A. If the lamp weighs 4 lb, and the extension arm AB has a weight of 0.5 lb>ft, determine the average shear stress in the pin needed to support the lamp. Hint: The shear force in the pin is caused by the couple moment required for equilibrium at A.arrow_forwardA timber company has designed a series of box beams with the geometry shown below. The beams are constructed by bonding the top and buttom boards to the edges of the vertical members at the four interfaces. Determine the maximum shear stress Tmax and the shear stress at the adhesive joints Tjoint. The vertical shear force is V = 8 kN. Given: • h₁ 100 mm h₂ = 20 mm b₁ 125 mm b₂ = 25 mm # h₂ b₂ b₁ h₁arrow_forward
- Determine the average shear stress developed in the nails within region AB of the beam. The nails are located on each side of the beam and are space 100 mm apart. Each nail has a diameter of 4 mm. Take P = 2kN. = Hint: Think carefully about the number of nails transferring shear stress from board-to-board. 2 kN/m A B -1.5 m 1.5 m 100 mm + 20 mm 40 mm 200 mm 20 mm 200 mmarrow_forwardThe coupling is used to connect the tWo shafts together. Assuming that the shear stress in the bolls is uniform, determine the number of bolts necessary to make the maximum shear stress in the shaft equal to the sher stress in the bolts Each bolt has a diameter d.arrow_forwardQ2/ The beam is supported by a pin at A and B. Determine the average shear stress developed in the pins at A, and B. All pins are in double shear as shown, and each has a diameter of 18 mm. 5 kN B 1.5 m 1.5 m 45 145 3 marrow_forward
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