EBK STATICS AND MECHANICS OF MATERIALS
5th Edition
ISBN: 8220102955295
Author: 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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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
s of the nails to support the load, if each
nail can resist a shear force of 1.5 kN.
1 m
m
B
100 mm
25 mm-
25 mm
200 mm
25 mm
All the pins are in double shear, and they each have a diameter of 14 mm.
The average shear stress in each pin CANNOT exceed 70 MPa.
What is the max magnitude of P that the beam can support
A 200-lb man starts at end A of the wooden plank and walks toward end B. If the plank will fail when the maximum bending stress is 6000 psi, find the farthest distance x that the man can walk safely.
Chapter 12 Solutions
EBK STATICS AND MECHANICS OF MATERIALS
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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- 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 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 structure shown consists of a single member ABCDE with a pin support at A and a roller support at E. Points B and D are at the midpoints of their respective segments. Determine the internal shear force acting on I which are located immediately to the left of C. Take N = 1 kN, O = 3 kN, and P = 4 kN.arrow_forward
- 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_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 box beam is constructed from four boards that are fastened together using nails spaced along the beam every 2 in. If each nail can resist a shear force of 50 lb, determine the largest force P that can be applied to the beam without causing failure of the nails.arrow_forward
- Determine 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_forwardIf the allowable normal stress is 120MPa and the allowable shear stress is 60MPa, what is the resultant force at the support 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
- The timber beam is to be loaded as shown. If the ends support only vertical forces, determine the greatest magnitude of P that can be applied. Use allowable normal stress of 20 MPa and allowable shear stress of 200 kPa.arrow_forwardbeam is supported by a roller and a hinge at its extremities. The 2 kN/m is loaded entirely on its 4 m length while 5 kN concentrated load is positioned 2 m from the left end of this beam. If the beam is 80 mm wide, determine the minimum height of the beam if the flexural stress is not to exceed 10 MPa.arrow_forward1. Rod AB carries 500 kg cylinder at B, and it is supported by a hinge at A. Determine the minimum diameter of the bolt at A if the shear strength of the bolt is 40 MPa. Express the diameter in whole number.arrow_forward
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