Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 2.8, Problem 21FP
Express the force as a Cartesian
Prob. F2-21
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CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED.
12: A steel cantilever beam 16 ft 8 in in length is subjected to a concentrated load of 320 lb acting at the freeend of the bar. A commercially available rolled steel section, designated as W12x32, is used for the beam. Assume that the total depth of the beam is 12 in, and the neutral axis of the section is in the middle. Determine the maximum tensile and compressive stresses. (Properties of commercially available rolled steel section provided in the table. Z = section modulus). ANS: σT = σC = 1,572.482 lb/in2
CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED.
14: Two ½-in x 8-in cover plates are welded to two channels 10 in high to formthe cross section of the beam shown in Fig. 8-59. Loads are in a vertical plane and bendingtakes place about a horizontal axis. The moment of inertia of each channel about ahorizontal axis through the centroid is 78.5 in4. If the maximum allowable elastic bendingstress is 18,000 lb/in2, determine the maximum bending moment that may be developedin the beam.ANS: 1,236,000 lb-in.
CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED.
11: A beam of circular cross section is 7 in in diameter. It is simply supported at each end and loaded by twoconcentrated loads of 20,000 lb each, applied 12 in from the ends of the beam. Determine the maximum bending stressin the beam. ANS: σ = 7,127.172 lb/in2
Chapter 2 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 2.3 - In each case, construct the parallelogram law to...Ch. 2.3 - In each case, show how to resolve the force F into...Ch. 2.3 - Determine the magnitude of the resultant force...Ch. 2.3 - Two forces act on the hook. Determine the...Ch. 2.3 - Determine the magnitude of the resultant force and...Ch. 2.3 - Resolve the 30-lb force into components along the...Ch. 2.3 - The force F = 450 lb acts on the frame. Resolve...Ch. 2.3 - If force F is to have a component along the u axis...Ch. 2.3 - If = 60 and F = 450 N, determine the magnitude of...Ch. 2.3 - If the magnitude of the resultant force is to be...
Ch. 2.3 - Determine the magnitude of the resultant force FR...Ch. 2.3 - The vertical force F acts downward at A on the...Ch. 2.3 - Solve with F = 350 lb. Prob. 2-4/5Ch. 2.3 - Determine the magnitude of the resultant force FR...Ch. 2.3 - Resolve the force F1 into components acting along...Ch. 2.3 - Resolve the force F2 into components acting along...Ch. 2.3 - If the resultant force acting on the support is to...Ch. 2.3 - Determine the magnitude of the resultant force and...Ch. 2.3 - The plate is subjected to the two forces at A and...Ch. 2.3 - Determine the angle for connecting member A to...Ch. 2.3 - The force acting on the gear tooth is F = 20lb....Ch. 2.3 - The component of force F acting along line aa is...Ch. 2.3 - Force F acts on the frame such that its component...Ch. 2.3 - Force F acts on the frame such that its component...Ch. 2.3 - Determine the magnitude and direction of the...Ch. 2.3 - Determine the magnitude and direction of the...Ch. 2.3 - Determine the design angle (0 90) for strut AB...Ch. 2.3 - Determine the design angle (0 90) between...Ch. 2.3 - Determine the magnitude and direction of the...Ch. 2.3 - Prob. 22PCh. 2.3 - Prob. 23PCh. 2.3 - Prob. 24PCh. 2.3 - If F1 = 30 lb and F2 = 40 lb, determine the angles...Ch. 2.3 - Determine the magnitude and direction of FA SO...Ch. 2.3 - Determine the magnitude and direction, measured...Ch. 2.3 - Determine the magnitude of force F so that the...Ch. 2.3 - If the resultant force of the two tugboats is 3...Ch. 2.3 - If FB = 3 kN and = 45, determine the magnitude of...Ch. 2.3 - If the resultant force of the two tugboats is...Ch. 2.4 - Resolve each force acting on the post into its x...Ch. 2.4 - Determine the magnitude and direction of the...Ch. 2.4 - Prob. 9FPCh. 2.4 - If the resultant force acting on the bracket is to...Ch. 2.4 - If the magnitude of the resultant force acting on...Ch. 2.4 - Determine the magnitude of the resultant force and...Ch. 2.4 - Determine the magnitude of the resultant force and...Ch. 2.4 - Prob. 33PCh. 2.4 - Prob. 34PCh. 2.4 - Determine the magnitude of the resultant force and...Ch. 2.4 - Resolve each force acting on the gusset plate into...Ch. 2.4 - Determine the magnitude of the resultant force...Ch. 2.4 - Prob. 38PCh. 2.4 - Prob. 39PCh. 2.4 - Determine the magnitude of the resultant force and...Ch. 2.4 - Determine the magnitude of the resultant force and...Ch. 2.4 - Express F1, F2, and F3 as Cartesian vectors.Ch. 2.4 - Prob. 43PCh. 2.4 - Prob. 44PCh. 2.4 - Prob. 45PCh. 2.4 - Determine the magnitude and orientation of FB so...Ch. 2.4 - Determine the magnitude and orientation. measured...Ch. 2.4 - Prob. 48PCh. 2.4 - Prob. 49PCh. 2.4 - Express F1, F2, and F3 as Cartesian vectors.Ch. 2.4 - Prob. 51PCh. 2.4 - Prob. 52PCh. 2.4 - Prob. 53PCh. 2.4 - Prob. 54PCh. 2.4 - Prob. 55PCh. 2.4 - Prob. 56PCh. 2.4 - If the resultant force acting on the bracket is...Ch. 2.4 - Prob. 58PCh. 2.4 - If F = 5 kN and = 30, determine the magnitude of...Ch. 2.6 - Sketch the following forces on the x, y, z...Ch. 2.6 - In each case, establish F as a Cartesian vector,...Ch. 2.6 - Show how to resolve each force into its x, y, z...Ch. 2.6 - Determine the coordinate direction angles of the...Ch. 2.6 - Prob. 14FPCh. 2.6 - Prob. 15FPCh. 2.6 - Prob. 16FPCh. 2.6 - Prob. 17FPCh. 2.6 - Prob. 18FPCh. 2.6 - The force F has a magnitude of 80 lb and acts...Ch. 2.6 - Prob. 61PCh. 2.6 - Prob. 62PCh. 2.6 - Prob. 63PCh. 2.6 - Prob. 64PCh. 2.6 - The screw eye is subjected to the two forces...Ch. 2.6 - Prob. 66PCh. 2.6 - Determine the magnitude and coordinate direction...Ch. 2.6 - Determine the magnitude and coordinate direction...Ch. 2.6 - Determine the magnitude and coordinate direction...Ch. 2.6 - Determine the magnitude and coordinate direction...Ch. 2.6 - Specify the magnitude and coordinate direction...Ch. 2.6 - Prob. 72PCh. 2.6 - Prob. 73PCh. 2.6 - Prob. 74PCh. 2.6 - Prob. 75PCh. 2.6 - Prob. 76PCh. 2.6 - Prob. 77PCh. 2.6 - Prob. 78PCh. 2.6 - Determine the coordinate direction angles of the...Ch. 2.6 - The bracket is subjected to the two forces shown....Ch. 2.6 - Prob. 81PCh. 2.6 - Prob. 82PCh. 2.6 - If the direction of the resultant force acting on...Ch. 2.6 - Prob. 84PCh. 2.6 - The pole is subjected to the force F which has...Ch. 2.8 - In each case, establish a position vector from...Ch. 2.8 - In each case, express F as a Cartesian vector....Ch. 2.8 - Express the position vector rAB in Cartesian...Ch. 2.8 - Prob. 20FPCh. 2.8 - Express the force as a Cartesian vector. Prob....Ch. 2.8 - Prob. 22FPCh. 2.8 - Prob. 23FPCh. 2.8 - Prob. 24FPCh. 2.8 - Determine the length of the connecting rod AB by...Ch. 2.8 - Express force F as a Cartesian vector; then...Ch. 2.8 - Prob. 88PCh. 2.8 - Prob. 89PCh. 2.8 - Prob. 90PCh. 2.8 - Prob. 91PCh. 2.8 - Prob. 92PCh. 2.8 - If FB = 560 N and FC = 700 N, determine the...Ch. 2.8 - If FB = 700 N, and FC = 560 N, determine the...Ch. 2.8 - The plate is suspended using the three cables...Ch. 2.8 - The three supporting cables exert the forces shown...Ch. 2.8 - Determine the magnitude and coordinate direction...Ch. 2.8 - Prob. 98PCh. 2.8 - Prob. 99PCh. 2.8 - Prob. 100PCh. 2.8 - The two mooring cables exert forces on the stern...Ch. 2.8 - Prob. 102PCh. 2.8 - Determine the magnitude and coordinate direction...Ch. 2.8 - If the force in each cable tied to the bin is 70...Ch. 2.8 - If the resultant of the four forces is FR = {360k}...Ch. 2.9 - P2.8. in each case set up the dot product to find...Ch. 2.9 - Prob. 9PPCh. 2.9 - Prob. 25FPCh. 2.9 - Determine the angle between the force and the...Ch. 2.9 - Prob. 27FPCh. 2.9 - Prob. 28FPCh. 2.9 - Find the magnitude of the projected component of...Ch. 2.9 - Prob. 30FPCh. 2.9 - Determine the magnitudes of the components of the...Ch. 2.9 - Prob. 106PCh. 2.9 - Prob. 107PCh. 2.9 - Prob. 108PCh. 2.9 - Prob. 109PCh. 2.9 - Prob. 110PCh. 2.9 - Prob. 111PCh. 2.9 - Prob. 112PCh. 2.9 - Determine the magnitudes of the components of F =...Ch. 2.9 - Prob. 114PCh. 2.9 - Prob. 115PCh. 2.9 - Prob. 116PCh. 2.9 - Determine the magnitudes of the projected...Ch. 2.9 - Determine the angle between cables AB and AC....Ch. 2.9 - Prob. 119PCh. 2.9 - Prob. 120PCh. 2.9 - Determine the angle between the two cables...Ch. 2.9 - Determine the angle between the cables AB and AC....Ch. 2.9 - Determine the magnitude of the projected component...Ch. 2.9 - Determine the magnitude of the projected component...Ch. 2.9 - Determine the magnitude of the projection of force...Ch. 2.9 - Prob. 126PCh. 2.9 - Prob. 127PCh. 2.9 - Prob. 128PCh. 2.9 - Determine the magnitude of the projected component...Ch. 2.9 - Prob. 130PCh. 2.9 - Prob. 131PCh. 2.9 - Determine the magnitude of the projected component...Ch. 2.9 - Prob. 133PCh. 2.9 - Prob. 134PCh. 2.9 - Prob. 135PCh. 2.9 - Prob. 136PCh. 2.9 - Prob. 137PCh. 2.9 - Prob. 138PCh. 2.9 - Prob. 139PCh. 2.9 - Determine the magnitude of the resultant force FR...Ch. 2.9 - Resolve F into components along the u and v axes...Ch. 2.9 - Prob. 3RPCh. 2.9 - The cable at the end of the crane boom exerts a...Ch. 2.9 - Prob. 5RPCh. 2.9 - Prob. 6RPCh. 2.9 - Prob. 7RPCh. 2.9 - Prob. 8RP
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