Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 2.6, Problem 14FP
To determine
Determine the expression of force as a Cartesian
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Calculate the force in cable AB and the angle θ for the support system shown. Round your final answers to two decimal places.
1.53 In the steel structure shown, a 6-mm-diameter pin is used at C and
10-mm-diameter pins are used at B and D. The ultimate shearing
stress is 150 MPa at all connections, and the ultimate normal stress
is 400 MPa in link BD. Knowing that a factor of safety of 3.0 is
desired, determine the largest load P that can be applied at A. Note
that link BD is not reinforced around the pin holes.
Front view
D
D
6 mm
18 mm
B
A
B
Side view
160 mm
120 mm
A
B
Top view
CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED.
16: Determine (a) the maximum bending stress, (b)the maximum shearing stress, (c) compressive bending stress atthe roller support, and (d) the shearing stress 1 in below the topsurface of the beam at the location 1 ft to the right of the rollersupport in the simply supported beam shown in Fig. 8-70.ANS: (a) 21,945.313 lb/in2; (b) 1656.25 lb/in2; (c) 10,000 lb/in2; (d) 190.972 lb/in2
Chapter 2 Solutions
Statics and Mechanics of Materials (5th 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 - Determine the magnitude of the resultant force....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 - Resolve the force into components acting along...Ch. 2.3 - Prob. 6FPCh. 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 - Determine the magnitudes of the two components of...Ch. 2.3 - Solve Prob. 24 with F = 350 lb. 24. Determine the...Ch. 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 - If = 60, determine the magnitude of the resultant...Ch. 2.3 - Determine the angle for connecting member A to...Ch. 2.3 - The force acting on the gear tooth is F = 20 lb....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 - 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 of the resultant force...Ch. 2.3 - Prob. 20PCh. 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 into its x and y components....Ch. 2.4 - F28. Determine the magnitude and direction of the...Ch. 2.4 - Prob. 9FPCh. 2.4 - Prob. 10FPCh. 2.4 - Prob. 11FPCh. 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. 25PCh. 2.4 - Prob. 26PCh. 2.4 - Determine the magnitude of the resultant force and...Ch. 2.4 - Prob. 28PCh. 2.4 - Determine the magnitude of the resultant force...Ch. 2.4 - Prob. 30PCh. 2.4 - Prob. 31PCh. 2.4 - Prob. 32PCh. 2.4 - Determine the magnitude of the resultant force and...Ch. 2.4 - Prob. 34PCh. 2.4 - Prob. 35PCh. 2.4 - Determine the magnitude of the resultant force and...Ch. 2.4 - Determine the magnitude and direction of the...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 - Determine the resultant force acting on the hook....Ch. 2.6 - The force F has a magnitude of 80 lb. Determine...Ch. 2.6 - The bolt is subjected to the force F, which has...Ch. 2.6 - Determine the magnitude and coordinate direction...Ch. 2.6 - Prob. 41PCh. 2.6 - Prob. 42PCh. 2.6 - Express each force in Cartesian vector form and...Ch. 2.6 - Prob. 44PCh. 2.6 - Determine the magnitude and coordinate direction...Ch. 2.6 - Determine the magnitude and coordinate direction...Ch. 2.6 - Prob. 47PCh. 2.6 - Determine the magnitude and coordinate direction...Ch. 2.6 - Prob. 49PCh. 2.6 - Prob. 50PCh. 2.6 - Prob. 51PCh. 2.6 - Determine the magnitude and coordinate direction...Ch. 2.6 - Prob. 53PCh. 2.6 - Prob. 54PCh. 2.6 - Determine the magnitude and coordinate direction...Ch. 2.8 - In each case, establish a position vector from...Ch. 2.8 - In each case, express F as a Cartesian vector. (a)...Ch. 2.8 - Prob. 19FPCh. 2.8 - Determine the length of the rod and the position...Ch. 2.8 - Prob. 21FPCh. 2.8 - Express the force as a Cartesian vector. Prob....Ch. 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 - Express each force as a Cartesian vector, and then...Ch. 2.8 - If F = {350i 250j 450k} N and cable AB is 9 m...Ch. 2.8 - The 8-m-long cable is anchored to the ground at A....Ch. 2.8 - The 8-m-long cable is anchored to the ground at A....Ch. 2.8 - Express each of the forces in Cartesian vector...Ch. 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 - Prob. 66PCh. 2.8 - Determine the magnitude and coordinate direction...Ch. 2.8 - Prob. 68PCh. 2.8 - The load at A creates a force of 60 lb in wire AB....Ch. 2.8 - Determine the magnitude and coordinate direction...Ch. 2.9 - In each case, set up the dot product to find the...Ch. 2.9 - In each case, set up the dot product to find the...Ch. 2.9 - Determine the angle between the force and the...Ch. 2.9 - Determine the angle between the force and the...Ch. 2.9 - Determine the angle between the force and the...Ch. 2.9 - Determine the projected component of the force...Ch. 2.9 - Find the magnitude of the projected component of...Ch. 2.9 - Determine the components of the force acting...Ch. 2.9 - Prob. 31FPCh. 2.9 - Prob. 71PCh. 2.9 - Determine the magnitudes of the components of F =...Ch. 2.9 - Determine the angle between BA and BC. Probs. 273Ch. 2.9 - Determine the magnitude of the projected component...Ch. 2.9 - Prob. 75PCh. 2.9 - Determine the magnitude of the projection of the...Ch. 2.9 - Determine the angle between the pole and the wire...Ch. 2.9 - Determine the magnitude of the projection of the...Ch. 2.9 - Determine the magnitude of the projected component...Ch. 2.9 - Prob. 80PCh. 2.9 - Determine the angle between the two cables. Prob....Ch. 2.9 - Determine the projected component of the force...Ch. 2.9 - Determine the angles and between the flag pole...Ch. 2.9 - Determine the magnitudes of the components of F...Ch. 2.9 - Prob. 85PCh. 2.9 - Determine the angle between the pipe segments BA...Ch. 2.9 - If the force F = 100 N lies in the plane DBEC,...Ch. 2.9 - Determine the magnitudes of the components of the...Ch. 2.9 - Determine the magnitudes of the projected...Ch. 2.9 - Determine the magnitude of the projected component...Ch. 2.9 - Two cables exert forces on the pipe. Determine the...Ch. 2.9 - Determine the angle between the two forces. Prob....Ch. 2 - Determine the magnitude of the resultant force FR...Ch. 2 - Resolve the force into components along the u and...Ch. 2 - Determine the magnitude of the resultant force...Ch. 2 - The cable exerts a force of 250 lb on the crane...Ch. 2 - The cable attached to the tractor at B exerts a...Ch. 2 - Express F1 and F2 as Cartesian vectors. Prob. R26Ch. 2 - Determine the angle between the edges of the...Ch. 2 - Determine the projection of the force F along the...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 20: A 2022 Porsche 911 (992) GT3 is crossing a 20 ft bridge. The specification of the car is shown below.Determine the maximum shear (in lb) and moment (in lb-ft) on the bridge. ANS: Vmax = 2,680.850 lb ; Mmax = 11,233.13 lb-ftarrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. Answers: P1 = 208.625 KN/M P2 = 281.310 KN/M P = 15.491 KN/M FB = 463.402 MPA FV = 55.034 MPAarrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 18: Determine the maximum shear and moment that would be experienced by a 10 m beam if a three-wheelmoving load of 10 kN, 30 kN, and 5 kN respectively will pass it by. The distance between the 1st and 2nd load is 1 m and the distance between the 2nd and 3rd load is 3 m.ANS: Vmax = 40 kN ; Mmax = 100.014 kN-marrow_forward
- CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 5: A 12-m simply supported bridge is constructed with 100-mm concrete slab deck supported by precastconcrete stringers spaced 800 mm on center. Analyze the stringers when subjected to a moving load consisting of 3 evenly spaced axle loads at 3 m and equivalent to 20 kN, 30 kN and 40 kN respectively. The self-weight of the stringers is 8.5 kN/m and the concrete deck has a unit weight of 24 kN/m3 . Neglect all other superimposed loads. Calculate: (a) the maximum shear force in the stringers; (b) the maximum bending moment in the stringers. Answer: Vmax = 135.020 KN, Mmax = 477.388 KN-Marrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 19: A 22-wheeler truck is crossing over 25 m bridge. The dimensions between the axles of the truck are shownin the figure below. Axles 1 to 3 carry a 90 kN load each, axles 4 and 5 carry a 65 kN load each, and the axle directly below the cab of the truck has a load of 100 kN. Determine the maximum shear and moment on the bridge.ANS: Vmax = 374.92 kN ; Mmax = 1,702.229 kN-marrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 1. A H = 6 m cantilever retaining wall is subjected to a soil pressurelinearly varying from zero at the top to 90 kPa at the bottom. As an additionalsupport, it is anchored at depth y = 2 m. with maximum tension equal to 25kN. Assume that the stem provides fully retrained support. Draw the shearand moment diagram of the wall to calculate the following: (a) Maximumpositive bending moment per linear meter; (b) maximum negative bendingmoment per linear meter; (c) maximum shear force per linear meter. answer: +MMax = 440 kn-m, -Mmax = 0kn-M, Vmax = 245 KNarrow_forward
- CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 17: A simply supported beam with the section shown below has an allowableflexural shearing stress of 43 MPa. (a) Determine the maximum allowable shearing force onthe section. And (b) what is the minimum thickness of plate that should be welded at theflanges if the section is to withstand a total shearing force of 200 kN. The additional plate willhave its base dimension equal to the flange dimension.ANS: V = 179.333 kN ; t = 23.181 mmarrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. Answer: A = 0.207 L(M)arrow_forwardQu 4 The 12-kg slender rod is attached to a spring, which has an unstretched length of 2 m. If the rod is released from rest when 0 = 30°, determine its angular velocity at the instant 0 = 90°. 2 m B k = 40 N/m 2 marrow_forward
- CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 13: A cantilever beam is of length 1.5 m,loaded by a concentrated load P at its tip as shown inFig. 8-18(a), and is of circular cross section (R = 100 mm),having two symmetrically placed longitudinal holes asindicated. The material is titanium alloy, having anallowable working stress in bending of 600 MPa.Determine the maximum allowable value of the verticalforce P. ANS: P = 236,589.076 N = 236.589 kNarrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 15: Consider a beam having an I-type cross section as shown in Fig. 8-45. Ashearing force V of 150 kN acts over the section. Determine the maximum and minimumvalues of the shearing stress in the vertical web of the section.ANS: fv(max) = 44.048 MPa ; fv(min) = 33.202 MPaarrow_forwardCORRECT 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/in2arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Types Of loads - Engineering Mechanics | Abhishek Explained; Author: Prime Course;https://www.youtube.com/watch?v=4JVoL9wb5yM;License: Standard YouTube License, CC-BY