Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 12.3, Problem 41P
To determine
Find the maximum allowable spacing of the nails.
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The simply supported beam is built up from three boards by nailing them together as shown. If P = 12 kN, determine the maximum allowable spacing s of the nails to support that load, if each nail can resist a shear force of 1.5 kN.
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
Can you include givens and a FBD in your solution? thank you
Chapter 12 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 12.2 - In each case, calculate the value of Q and t that...Ch. 12.2 - If the beam is subjected to a shear force of V =...Ch. 12.2 - Prob. 2FPCh. 12.2 - Determine the absolute maximum shear stress in the...Ch. 12.2 - If the beam is subjected to a shear force of V =...Ch. 12.2 - If the beam is made from four plates and subjected...Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - If the beam is subjected to a shear of V = 30kN,...
Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - The wood beam has an allowable shear stress of...Ch. 12.2 - The shaft is supported by a thrust bearing at A...Ch. 12.2 - The shaft is supported by a thrust bearing at A...Ch. 12.2 - Determine the largest shear force V that the...Ch. 12.2 - If the applied shear force V = 18 kip, determine...Ch. 12.2 - The overhang beam is subjected to the uniform...Ch. 12.2 - The beam is made from a polymer and is subjected...Ch. 12.2 - Determine the maximum shear stress in the strut if...Ch. 12.2 - Determine the maximum shear force V that the strut...Ch. 12.2 - Prob. 15PCh. 12.2 - Plot the shear-stress distribution over the cross...Ch. 12.2 - Prob. 17PCh. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - If the wide-flange beam is subjected to a shear of...Ch. 12.2 - Determine the length of the cantilevered beam so...Ch. 12.2 - If the beam is made from wood having an allowable...Ch. 12.2 - Determine the largest intensity w of the...Ch. 12.2 - If w = 800 lb/ft, determine the absolute maximum...Ch. 12.2 - Determine the shear stress at point B on the web...Ch. 12.2 - Determine the maximum shear stress acting at...Ch. 12.2 - Railroad tics must be designed to resist large...Ch. 12.2 - Prob. 27PCh. 12.2 - Prob. 28PCh. 12.2 - Determine the maximum shear stress in the T-beam...Ch. 12.2 - Determine the maximum shear stress in the T-beam...Ch. 12.2 - Prob. 31PCh. 12.3 - The two identical boards are bolted together to...Ch. 12.3 - Two identical 20-mm-thick plates are bolted to the...Ch. 12.3 - Prob. 8FPCh. 12.3 - Prob. 9FPCh. 12.3 - The beam is constructed from two boards fastened...Ch. 12.3 - The beam is constructed from two boards fastened...Ch. 12.3 - The beam is constructed from three boards. If it...Ch. 12.3 - The beam is constructed from three boards....Ch. 12.3 - Prob. 36PCh. 12.3 - The double T-beam is fabricated by welding the...Ch. 12.3 - The beam is constructed from three boards....Ch. 12.3 - A beam is constructed from three boards bolted...Ch. 12.3 - The simply supported beam is built up from three...Ch. 12.3 - Prob. 41PCh. 12.3 - Prob. 42PCh. 12.3 - Prob. 43PCh. 12.3 - The box beam is constructed from four boards that...Ch. 12.3 - The member consists of two plastic channel strips...Ch. 12.3 - The member consists of two plastic channel strips...Ch. 12.3 - Prob. 47PCh. 12.3 - Prob. 48PCh. 12 - The beam is fabricated from four boards nailed...Ch. 12 - Prob. 2RPCh. 12 - Prob. 3RPCh. 12 - Prob. 4RPCh. 12 - Prob. 5RPCh. 12 - Prob. 6RPCh. 12 - Prob. 7RPCh. 12 - The member consists of two triangular plastic...Ch. 12 - If the pipe is subjected to a shear of V = 15 kip,...
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- 3arrow_forwardThe 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.arrow_forwardThe 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_forward
- The beam is constructed from three plastic strips. If the glue can support a shear stress of tallow = 8 kPa, determine the largest magnitude of the loads P that the beam can support.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_forwardThe 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.arrow_forward
- The rows of staples AB contained in the stapler is glued together so that the maximum shear stress the glue can withstand is 12 psi. Determine the maximum force F that must be placed on the plunger in order to shear off a staple from its row and allow it to exit undeformed through the groove at C. The outer dimensions are shown in the figure below. The thickness of the staple is 0.05 in. Assume all the other parts are rigid.arrow_forward5arrow_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 magnitude of the vertical force Cy for the simply supported beam, where w = 10 kips/ft, L₁ = 11 ft, and L₂ = 3 ft. A 28.0 kips 35.2 kips 43.2 kips 32.4 kips O 45.6 kips W L₁ B L2 Xarrow_forwardThe yoke-and-rod connection is subjected to a tensile force P. The end of the 40-mm diameter rod is embedded inside a wall at a length I of 100 mm using epoxy adhesive. If the allowable normal stress for the rods is 60 MPa, the allowable shear stress for the 25- mm diameter pin A is 50 MPa, and the allowable shear stress of the epoxy adhesive is 6 MPa, determine the largest force P that can be applied to the assembly. Note: Show your calculations for all types of stresses in detail. 40 mm 30 mm A 25 mm P.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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