Vector Mechanics for Engineers: Statics
12th Edition
ISBN: 9781259977268
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 7.4, Problem 7.114P
A cable of length L + Δ is suspended between two points that are at the same elevation and a distance L apart, (a) Assuming that Δ is small compared to L and that the cable is parabolic, determine the approximate sag in terms of L and Δ. (b) If L = 100 ft and Δ = 4 ft, determine the approximate sag. [Hint: Use only the first two terms of Eq. (7.10).]
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
a) As shown in the image given, a 69-kg crate is supported at equilibrium. The angles alpha=112 degrees. beta=145 degrees and the V =64.3 degrees. The coordinates of point D are (-2.2, 5.6, 3.2)m, and the spring constant k=1170N/m. Determine the stretch in the spring, in m which must be rounded to 3 places after the decimal point. Take g=9.81m/s^2.
b) As shown in the image given, a 63-kg crate is supported at equilibrium. The angles alpha=112 degrees. beta=145 degrees and the V =64.3 degrees. The coordinates of point D are (-2.4, 5.5, 3.7)m. Determine the tension force in cable AC, in N. Take g=9.81m/s^2.
c) As shown in the image given, a 64-kg crate is supported at equilibrium. The angles alpha=112 degrees. beta=145 degrees and the V =64.3 degrees. The coordinates of point D are (-2.2, 5.4, 3.2)m. Determine the tension force in cable AD, in N. Take g=9.81m/s^2.
) Three cables are secured to a ring at B. A turnbuckle on cable BC is tightened such that the tension in cable BC is 1.6 kN.
(Hint: You’ll need to define/insert your own x-y coordinate system).
Determine the tensions in cables BA and BD. (Hint: FBD/EQNS/SOLVE)
The simply supported beam below has two different distributed loads acting on it. In the first section, the distributed load has a constant value of w = 20 kN/m. In the second section, the distributed load
has a constant value of v= 6 kN/m.
If the loads were to be replaced by a single load H such that the two loadings are equivalent, then what would the distance d need to be in m?
W
A
2m
1m
V
B
d
H↓↓
B
Chapter 7 Solutions
Vector Mechanics for Engineers: Statics
Ch. 7.1 - 7.1 and 7.2 Determine the internal forces (axial...Ch. 7.1 - Prob. 7.2PCh. 7.1 - Determine the internal forces at point J when =...Ch. 7.1 - Fig. P7.3 and P7.4 7.4 Determine the internal...Ch. 7.1 - Determine the internal forces at point J when =...Ch. 7.1 - Fig. P7.5 and P7.6 7.6 Determine the internal...Ch. 7.1 - An archer aiming at a target is pulling with a...Ch. 7.1 - For the bow of Prob. 7.7, determine the magnitude...Ch. 7.1 - A semicircular rod is loaded as shown. Determine...Ch. 7.1 - A semicircular rod is loaded as shown. Determine...
Ch. 7.1 - A semicircular rod is loaded as shown. Determine...Ch. 7.1 - Fig. P7.11 and P7.12 7.12 A semicircular rod is...Ch. 7.1 - The axis of the curved member AB is a parabola...Ch. 7.1 - Knowing that the axis of the curved member AB is a...Ch. 7.1 - Knowing that the radius of each pulley is 120 mm...Ch. 7.1 - Fig. P7.15 and P7.16 7.16 Knowing that the radius...Ch. 7.1 - A 5-in.-diameter pipe is supported every 9 ft by a...Ch. 7.1 - For the frame of Prob. 7.17, determine the...Ch. 7.1 - Knowing that the radius of each pulley is 200 mm...Ch. 7.1 - Fig. P7.19 and P7.20 7.20 Knowing that the radius...Ch. 7.1 - and 7.22 A force P is applied to a bent rod that...Ch. 7.1 - and 7.22 A force P is applied to a bent rod that...Ch. 7.1 - A quarter-circular rod of weight W and uniform...Ch. 7.1 - For the rod of Prob. 7.23, determine the magnitude...Ch. 7.1 - A semicircular rod of weight W and uniform cross...Ch. 7.1 - A semicircular rod of weight W and uniform cross...Ch. 7.1 - 7.27 and 7.28 A half section of pipe rests on a...Ch. 7.1 - 7.27 and 7.28 A half section of pipe rests on a...Ch. 7.2 - 7.29 through 7.32 For the beam and loading shown,...Ch. 7.2 - 7.29 through 7.32 For the beam and loading shown,...Ch. 7.2 - 7.29 through 7.32 For the beam and loading shown,...Ch. 7.2 - 7.29 through 7.32 For the beam and loading shown,...Ch. 7.2 - 7.33 and 7.34 For the beam and loading shown, (a)...Ch. 7.2 - 7.33 and 7.34 For the beam and loading shown, (a)...Ch. 7.2 - 7.35 and 7.36 For the beam and loading shown, (a)...Ch. 7.2 - 7.35 and 7.36 For the beam and loading shown, (a)...Ch. 7.2 - 7.37 and 7.38 For the beam and loading shown, (a)...Ch. 7.2 - 7.37 and 7.38 For the beam and loading shown, (a)...Ch. 7.2 - For the beam and loading shown, (a) draw the shear...Ch. 7.2 - For the beam and loading shown, (a) draw the shear...Ch. 7.2 - For the beam and loading shown, (a) draw the shear...Ch. 7.2 - For the beam and loading shown, (a) draw the shear...Ch. 7.2 - Assuming the upward reaction of the ground on beam...Ch. 7.2 - Solve Problem 7.43 knowing that P = 3wa. PROBLEM...Ch. 7.2 - Assuming the upward reaction of the ground on beam...Ch. 7.2 - Solve Prob. 7.45 assuming that the 12-kip load has...Ch. 7.2 - Assuming the upward reaction of the ground on beam...Ch. 7.2 - Prob. 7.48PCh. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - Two small channel sections DF and EH have been...Ch. 7.2 - Solve Prob. 7.53 when = 60. PROBLEM 7.53 Two...Ch. 7.2 - For the structural member of Prob. 7.53, determine...Ch. 7.2 - For the beam of Prob. 7.43, determine (a) the...Ch. 7.2 - Determine (a) the distance a for which the maximum...Ch. 7.2 - For the beam and loading shown, determine (a) the...Ch. 7.2 - A uniform beam is to be picked up by crane cables...Ch. 7.2 - Knowing that P = Q = 150 lb, determine (a) the...Ch. 7.2 - Knowing that P = Q = 150 lb, determine (a) the...Ch. 7.2 - In order to reduce the bending moment in the...Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.29....Ch. 7.3 - Prob. 7.64PCh. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.31....Ch. 7.3 - Prob. 7.66PCh. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.33....Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.34....Ch. 7.3 - 7.69 and 7.70 For the beam and loading shown, (a)...Ch. 7.3 - 7.69 and 7.70 For the beam and loading shown, (a)...Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.39....Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.40....Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.41....Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.42....Ch. 7.3 - 7.75 and 7.76 For the beam and loading shown, (a)...Ch. 7.3 - Prob. 7.76PCh. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - (a) Draw the shear and bending-moment diagrams for...Ch. 7.3 - Solve Prob. 7.83 assuming that the 300-lb force...Ch. 7.3 - For the beam and loading shown, (a) write the...Ch. 7.3 - For the beam and loading shown, (a) write the...Ch. 7.3 - For the beam and loading shown, (a) write the...Ch. 7.3 - For the beam and loading shown, (a) write the...Ch. 7.3 - The beam AB supports the uniformly distributed...Ch. 7.3 - Solve Prob. 7.89 assuming that the uniformly...Ch. 7.3 - The beam AB is subjected to the uniformly...Ch. 7.3 - Prob. 7.92PCh. 7.4 - Three loads are suspended as shown from the cable...Ch. 7.4 - Knowing that the maximum tension in cable ABCDE is...Ch. 7.4 - If dA = 8 ft and dc = 10 ft, determine the...Ch. 7.4 - Prob. 7.96PCh. 7.4 - Knowing that dc = 5 m, determine (a) the distances...Ch. 7.4 - Prob. 7.98PCh. 7.4 - Knowing that dc = 9 ft, determine (a) the...Ch. 7.4 - Prob. 7.100PCh. 7.4 - Knowing that mB = 70 kg and mC = 25 kg, determine...Ch. 7.4 - Fig. P7.101 and P7.102 7.102 Knowing that mB = 18...Ch. 7.4 - Cable ABC supports two loads as shown. Knowing...Ch. 7.4 - Prob. 7.104PCh. 7.4 - If a = 3 m, determine the magnitudes of P and Q...Ch. 7.4 - If a = 4 m, determine the magnitudes of P and Q...Ch. 7.4 - An electric wire having a mass per unit length of...Ch. 7.4 - The total mass of cable ACB is 20 kg. Assuming...Ch. 7.4 - The center span of the George Washington Bridge,...Ch. 7.4 - The center span of the Verrazano-Narrows Bridge...Ch. 7.4 - Each cable of the Golden Gate Bridge supports a...Ch. 7.4 - Two cables of the same gauge are attached to a...Ch. 7.4 - A 76-m length of wire having a mass per unit...Ch. 7.4 - A cable of length L + is suspended between two...Ch. 7.4 - The total mass of cable AC is 25 kg. Assuming that...Ch. 7.4 - Cable ACB supports a load uniformly distributed...Ch. 7.4 - Each cable of the side spans of the Golden Gate...Ch. 7.4 - A steam pipe weighing 45 lb/ft that passes between...Ch. 7.4 - A cable AB of span L and a simple beam AB of the...Ch. 7.4 - Making use of the property established in Prob....Ch. 7.4 - 7.120 through 7.123 Making use of the property...Ch. 7.4 - 7.120 through 7.123 Making use of the property...Ch. 7.4 - Prob. 7.123PCh. 7.4 - Prob. 7.124PCh. 7.4 - Using the property indicated in Prob. 7.124,...Ch. 7.4 - If the weight per unit length of the cable AB is...Ch. 7.5 - A 25-ft chain with a weight of 30 lb is suspended...Ch. 7.5 - A 500-ft-long aerial tramway cable having a weight...Ch. 7.5 - A 40-m cable is strung as shown between two...Ch. 7.5 - A 50-m steel surveying tape has a mass of 1.6 kg....Ch. 7.5 - Prob. 7.131PCh. 7.5 - Prob. 7.132PCh. 7.5 - A 20-m length of wire having a mass per unit...Ch. 7.5 - Determine the sag of a 30-ft chain that is...Ch. 7.5 - Prob. 7.135PCh. 7.5 - Prob. 7.136PCh. 7.5 - A cable weighing 2 lb/ft is suspended between two...Ch. 7.5 - Prob. 7.138PCh. 7.5 - Prob. 7.139PCh. 7.5 - Fig. P7.139 and P7.140 7.140 A motor M is used to...Ch. 7.5 - Prob. 7.141PCh. 7.5 - Prob. 7.142PCh. 7.5 - Prob. 7.143PCh. 7.5 - Prob. 7.144PCh. 7.5 - To the left of point B, the long cable ABDE rests...Ch. 7.5 - Fig. P7.145 and P7.146 7.146 To the left of point...Ch. 7.5 - The 10-ft cable AB is attached to two collars as...Ch. 7.5 - Prob. 7.148PCh. 7.5 - Prob. 7.149PCh. 7.5 - (a) Determine the maximum allowable horizontal...Ch. 7.5 - A cable has a mass per unit length of 3 kg/m and...Ch. 7.5 - Determine the sag-to-span ratio for which the...Ch. 7.5 - Prob. 7.153PCh. 7 - Knowing that the turnbuckle has been tightened...Ch. 7 - Knowing that the turnbuckle has been tightened...Ch. 7 - Two members, each consisting of a straight and a...Ch. 7 - Knowing that the radius of each pulley is 150 mm,...Ch. 7 - For the beam shown, determine (a) the magnitude P...Ch. 7 - For the beam and loading shown, (a) draw the shear...Ch. 7 - For the beam and loading shown, (a) draw the shear...Ch. 7 - For the beam shown, draw the shear and...Ch. 7 - The beam AB, which lies on the ground, supports...Ch. 7 - Two loads are suspended as shown from the cable...Ch. 7 - A wire having a mass per unit length of 0.65 kg/m...Ch. 7 - A 10-ft rope is attached to two supports A and B...
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
- Determine the range of values of v for which both wires remain taut. Where x1 is the last digit of your student’s ID (if it is zero then add 4 to it), and x2 is last tow numbers of your ID separated by a decimal point (etc. if last two numbers are 66 then x2 is 6.6 m), x3 in degrees taking as 50oarrow_forwardPROBLEM 1: Knowing that the tension in cable BC is 725N, [1] Calculate x-component of the resultant of the three forces acting on B (ANSWER: 105 N) ; [2] Calculate y-component of the resultant of the three forces acting on B (ANSWER: 200 N) ; [3] Calculate the angle with respect to horizontal of the resultant of the three forces acting on B (ANSWER: 62.30⁰).arrow_forwardTwo builders carry a sheet of drywall up a ramp. Assume that W = 1.9 m, L = 3.3 m, theta = 19.0°, and that the lead builder carries a weight of 109.0 N (24.5 lb). Ꮎ What is the weight carried by the builder at the rear? HINT: Consider the drywall to have no thickness. The builder at the rear gets tired and suggests that the drywall should be held by its narrow side. W 0 What is the weight he must now carry? HINT: From the previous problem, you know how much each builder carries. Therefore you know the total weight. Set the sum of the torques about the front lower corner to 0, so that you do not need to know the weight carried by the builder in front.arrow_forward
- Need help please round answers to 3 sig figsarrow_forwardProblem 3. The forces acting on a bar in the x-direction is given by F = 1,000 N. A plane defined by the normal n =(n,n,,n.) intersects the cylinder and the area of the elliptical cross section is 1 cm². Assume the traction is uniform over the cross section. (a) What is the traction vector Tn) = (T₂i+T,j + T.k) on that plane? (b) What is the normal stress s on this plane? Answers: T = F T, Your answers could be in terms of n. n. and n. T = 7in) MPa Farrow_forwardThree identical 8.60-kg masses are hung by three identical springs, as shown in the figure. (Figure 1) Each spring has a force constant of 5.90 kN/m and was 11.0 cm long before any masses were attached to it. Make a free-body diagram for the top mass. Draw the vectors starting at the black dot at the center of the top mass.arrow_forward
- Show that in parabolic cables the tension acting a point depends on the x-y coordinates of this point as: T(x,y)=w0x[1+(x/2y)^2]^0.5arrow_forwardFind the tension in leg AC of the cable if the sag, h = 4’.arrow_forwardFor the figure shown, determine the horizontal and vertical components, respectively, of the hinge support at A. (kN) |60 kN 10KN/m 3m 15m 1m 30° Earrow_forward
- Tower AE is supported by guy wires AB, AC, and AD. Ifthe tension in each cable is 1000 lbs,[1] Calculate the components of tension in AB.[2] Calculate the components of tension in AC.[3] Calculate the components of tension in AD. Note that the forces should be referred from point A. Hence,the direction of the tension forces is pointing away from pointarrow_forward5. Mystery Problem The thin uniform plate with dimensions 26m X 28m as shown weighs 2000N and is supported in a horizontal position by a hinge at A and a cable from B to C. Note that B is located 2m from the edge of the plate both in x and y direction. Determine the magnitude of the tension and then write it in vector format for the cable BC. All the lengths are in meters. Please pay attention to the position of the points. 12 13 20 aarrow_forwardCable 1 a A Cable 2 В y If the picture does not load, click this link. The shaded shape is supported by Cable 1 and Cable 2 in the position shown (Drawing is NOT to scale). The shape has a uniform weight per unit area of 11kN/m2. Step 1: If A=1.9m, C=0.4m, x=1.2m, y=1.7m, z=3.5m, a = 67°, and B = 18°, find the value of B %3D needed to keep the shape in static equilibrium. Then solve for the tension in Cable 1 (T1) and the tension in Cable 2 (T2). Once you have evaluated your values for B, T1 and T2 it is recommended that you redraw your free body diagram with the correct dimensions, weights, and forces T1x, T1y, T2x, T2y and confirm that you do have your problem correctly in horizontal, vertical, and moment equilibrium. Step 2: Once you have confirmed that you free body diagram is in equilibrium, solve the following equation: Z= T1+T2 Write your final answer for Z (in kN) in the answer box below. Round your answer to two decimal places.arrow_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
Solids: Lesson 53 - Slope and Deflection of Beams Intro; Author: Jeff Hanson;https://www.youtube.com/watch?v=I7lTq68JRmY;License: Standard YouTube License, CC-BY