Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 3.8, Problem 90P
To determine
The equivalent resultant force, direction of the resultant force, and the line of action measured from B.
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8 mm-
Top view
-200 mm-180 mm-
D
B
B
12 mm
Side view
B
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PROBLEM 1.56
In an alternative design for the structure of
Prob. 1.55, a pin of 10-mm-diameter is to be
used at A. Assuming that all other
specifications remain unchanged, determine
the allowable load P if an overall factor of
safety of 3.0 is desired.
PROBLEM 1.55 In the structure shown, an 8-
mm-diameter pin is used at A, and 12-mm-
diameter pins are used at B and D. Knowing
that the ultimate shearing stress is 100 MPa at
all connections and that the ultimate normal
stress is 250 MPa in each of the two links
joining B and D, determine the allowable load
P if an overall factor of safety of 3.0 is desired.
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SOLUTION
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PROBLEM 12.16
Block 4 has a mass of 40 kg, and block B has a mass of 8 kg. The
coefficients of friction between all surfaces of contact are μ, = 0.20
H = 0.15. Knowing that P = 50 N→, determine (a) the acceleration of
block B, (b) the tension in the cord.
Constraint of cable: 2x + (x-x1) = x + x = constant.
a+ag = 0,
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Assume that block A moves down and block B moves up.
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Chapter 3 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 3.4 - In each case, determine the moment of the force...Ch. 3.4 - In each case, set up the determinant to find the...Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the moment of the force about point O....Ch. 3.4 - Determine the resultant moment produced by the...Ch. 3.4 - Determine the resultant moment produced by the...
Ch. 3.4 - Prob. 9FPCh. 3.4 - Prob. 10FPCh. 3.4 - Determine the moment of force F about point O....Ch. 3.4 - If F1 = {100i 120j + 75k} lb and F2 = {200i +...Ch. 3.4 - Prob. 1PCh. 3.4 - Prove the triple scalar product identity A(B C) =...Ch. 3.4 - Given the three nonzero vectors A, B, and C, show...Ch. 3.4 - Determine the moment about point A of each of the...Ch. 3.4 - Determine the moment about point B of each of the...Ch. 3.4 - Prob. 6PCh. 3.4 - Determine the moment of each of the three forces...Ch. 3.4 - Determine the moment of each of the three forces...Ch. 3.4 - Prob. 9PCh. 3.4 - If FB= 30 lb and FC = 45 lb, determine the...Ch. 3.4 - The cable exerts a force of P = 6 kN at the end of...Ch. 3.4 - The cable exerts a force of P = 6 kN at the end of...Ch. 3.4 - Prob. 13PCh. 3.4 - The 20-N horizontal force acts on the handle of...Ch. 3.4 - Two men exert forces of F = 80 lb and P = 50 lb on...Ch. 3.4 - If the man at B exerts a force of P = 30 lb on the...Ch. 3.4 - Prob. 17PCh. 3.4 - Prob. 18PCh. 3.4 - Prob. 19PCh. 3.4 - The handle of the hammer is subjected to the force...Ch. 3.4 - Prob. 21PCh. 3.4 - Prob. 22PCh. 3.4 - The tower crane is used to hoist the 2-Mg load...Ch. 3.4 - The tower crane is used to hoist a 2-Mg load...Ch. 3.4 - Prob. 25PCh. 3.4 - If the 1500-lb boom AB, the 200-lb cage BCD, and...Ch. 3.4 - Prob. 27PCh. 3.4 - Determine the moment of the force F about point P....Ch. 3.4 - The force F = {400i 100j 700k} lb acts at the...Ch. 3.4 - Prob. 30PCh. 3.4 - Determine the moment of the force F about point P....Ch. 3.4 - Prob. 32PCh. 3.4 - A 20-N horizontal force is applied perpendicular...Ch. 3.4 - A 20-N horizontal force is applied perpendicular...Ch. 3.4 - The pipe assembly is subjected to the 80-N force....Ch. 3.4 - The pipe assembly is subjected to the 80-N force....Ch. 3.4 - A force of F = {6i 2j + lk) kN produces a moment...Ch. 3.4 - The force F = {6i + 8j + l0k} N creates a moment...Ch. 3.5 - In each case, determine the resultant moment of...Ch. 3.5 - In each case, set up the determinant needed to...Ch. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Determine the magnitude of the moment of the 200-N...Ch. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Prob. 17FPCh. 3.5 - Determine the moment of force F about the x, the...Ch. 3.5 - The lug nut on the wheel of the automobile is to...Ch. 3.5 - Prob. 40PCh. 3.5 - The A-frame is being hoisted into an upright...Ch. 3.5 - Prob. 42PCh. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Determine the moment of force F about an axis...Ch. 3.5 - Prob. 45PCh. 3.5 - The board is used to hold the end of the cross lug...Ch. 3.5 - The A-frame is being hoisted into an upright...Ch. 3.5 - Prob. 48PCh. 3.5 - Prob. 49PCh. 3.5 - Determine the magnitude of the moment of the force...Ch. 3.5 - Prob. 51PCh. 3.5 - Prob. 52PCh. 3.5 - Determine the moment of the force about the aa...Ch. 3.6 - Determine the resultant couple moment acting on...Ch. 3.6 - Determine the resultant couple moment acting on...Ch. 3.6 - Prob. 21FPCh. 3.6 - Prob. 22FPCh. 3.6 - Prob. 23FPCh. 3.6 - Prob. 24FPCh. 3.6 - A clockwise couple M = 5 N m is resisted by the...Ch. 3.6 - A twist of 4 N m is applied to the handle of the...Ch. 3.6 - If the resultant couple of the three couples...Ch. 3.6 - If F = 125 1b, determine the resultant couple...Ch. 3.6 - Determine the magnitude of F so that the resultant...Ch. 3.6 - Determine the magnitude and coordinate direction...Ch. 3.6 - Prob. 60PCh. 3.6 - Prob. 61PCh. 3.6 - Prob. 62PCh. 3.6 - Prob. 63PCh. 3.6 - Express the moment of the couple acting on the...Ch. 3.6 - If the couple moment acting on the pipe has a...Ch. 3.6 - Prob. 66PCh. 3.6 - Prob. 67PCh. 3.6 - Express the moment of the couple acting on the rod...Ch. 3.6 - Prob. 69PCh. 3.6 - Prob. 70PCh. 3.7 - In each case, determine the x and y components of...Ch. 3.7 - Prob. 25FPCh. 3.7 - Replace the loading by an equivalent resultant...Ch. 3.7 - Prob. 27FPCh. 3.7 - Replace the loading by an equivalent resultant...Ch. 3.7 - Prob. 29FPCh. 3.7 - Prob. 30FPCh. 3.7 - Prob. 71PCh. 3.7 - Prob. 72PCh. 3.7 - Prob. 73PCh. 3.7 - Replace the loading acting on the beam by an...Ch. 3.7 - Replace the loading acting on the beam by an...Ch. 3.7 - Prob. 76PCh. 3.7 - Replace the loading acting on the post by an...Ch. 3.7 - Replace the loading acting on the post by a...Ch. 3.7 - Prob. 79PCh. 3.7 - Prob. 80PCh. 3.7 - Prob. 81PCh. 3.7 - Prob. 82PCh. 3.7 - Prob. 83PCh. 3.7 - Replace the force of F = 80 N acting on the pipe...Ch. 3.7 - Prob. 85PCh. 3.7 - The belt passing over the pulley is subjected to...Ch. 3.8 - In each case, determine the x and y components of...Ch. 3.8 - Prob. 7PPCh. 3.8 - Replace the loading by an equivalent resultant...Ch. 3.8 - Prob. 32FPCh. 3.8 - Prob. 33FPCh. 3.8 - Replace the loading by an equivalent resultant...Ch. 3.8 - Replace the loading by an equivalent single...Ch. 3.8 - Prob. 36FPCh. 3.8 - Prob. 87PCh. 3.8 - Prob. 88PCh. 3.8 - Prob. 89PCh. 3.8 - Prob. 90PCh. 3.8 - Replace the loading by a single resultant force....Ch. 3.8 - Replace the loading by a single resultant force....Ch. 3.8 - Replace the loading by a single resultant force....Ch. 3.8 - Prob. 94PCh. 3.8 - Replace the loading on the frame by a single...Ch. 3.8 - Replace the loading acting on the post by a...Ch. 3.8 - Replace the loading acting on the post by a...Ch. 3.8 - Replace the parallel force system acting on the...Ch. 3.8 - Replace the loading acting on the frame by an...Ch. 3.8 - Replace the loading acting on the frame by an...Ch. 3.8 - If FA = 7 kN and FB = 5 kN, represent the force...Ch. 3.8 - Determine the magnitudes of FA and FB so that the...Ch. 3.8 - Prob. 103PCh. 3.8 - The building slab is subjected to four parallel...Ch. 3.8 - The building slab is subjected to four parallel...Ch. 3.8 - If FA = 40 kN and FB = 35 kN, determine the...Ch. 3.8 - If the resultant force is required to act at the...Ch. 3.9 - Determine the resultant force and specify where it...Ch. 3.9 - Prob. 38FPCh. 3.9 - Determine the resultant force and specify where it...Ch. 3.9 - Prob. 40FPCh. 3.9 - Prob. 41FPCh. 3.9 - Prob. 42FPCh. 3.9 - Replace the loading by an equivalent resultant...Ch. 3.9 - Replace the distributed loading with an equivalent...Ch. 3.9 - Replace the loading by an equivalent resultant...Ch. 3.9 - Currently eighty-five percent of all neck injuries...Ch. 3.9 - Prob. 112PCh. 3.9 - Replace the distributed loading by an equivalent...Ch. 3.9 - Replace the distributed loading by an equivalent...Ch. 3.9 - Prob. 115PCh. 3.9 - Determine the equivalent resultant force and...Ch. 3.9 - Determine the magnitude of the equivalent...Ch. 3 - The boom has a length of 30 ft, a weight of 800...Ch. 3 - Replace the force F having a magnitude of F = 50...Ch. 3 - The hood of the automobile is supported by the...Ch. 3 - Prob. 4RPCh. 3 - Prob. 5RPCh. 3 - Prob. 6RPCh. 3 - The building slab is subjected to four parallel...Ch. 3 - Replace the distributed loading by an equivalent...
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