Engineering Mechanics: Statics
13th Edition
ISBN: 9780132915540
Author: Russell C. Hibbeler
Publisher: Prentice Hall
expand_more
expand_more
format_list_bulleted
Question
Chapter 7.1, Problem 31P
To determine
The distance a between the supports in terms of the shaft’s length L so that the bending moment in the symmetric shaft is zero at the shaft’s center.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
please solve this problem step by step like human and give correct answer step by step
PROBLEM 11:
Determine the force, P, that must be exerted on the handles of the bolt cutter.
(A) 7.5 N
(B) 30.0 N
(C) 52.5 N
(D) 300 N
(E) 325 N
.B
X
3 cm
E
40 cm
cm
F = 1000 N
10 cm
3 cm
bolt
Using the moment-area theorems, determine a) the rotation at A, b) the deflection at L/2, c) the deflection at L/4.
(Hint: Use symmetry for Part a (θA= - θB, or θC=0), Use the rotation at A for Parts b and c. Note that all deformations
in the scope of our topics are small deformation and for small θ, sinθ=θ).
Chapter 7 Solutions
Engineering Mechanics: Statics
Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Assume A is pinned and B is a roller. Prob. F7-6Ch. 7.1 - Assume the support at B is a roller. Point C is...Ch. 7.1 - Determine the shear force and moment at points C...Ch. 7.1 - If the suspended load has a weight of 2 kN and a...Ch. 7.1 - Prob. 4P
Ch. 7.1 - Prob. 5PCh. 7.1 - Determine the distance a as a fraction of the...Ch. 7.1 - Prob. 7PCh. 7.1 - Prob. 8PCh. 7.1 - Take P = 8 kN. Prob. 7-9Ch. 7.1 - Determine the largest vertical load P the frame...Ch. 7.1 - The shaft is supported by a journal bearing at A...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Prob. 13PCh. 7.1 - Prob. 14PCh. 7.1 - Prob. 15PCh. 7.1 - Prob. 16PCh. 7.1 - Prob. 17PCh. 7.1 - Point E is just to the right of the 3-kip load....Ch. 7.1 - Prob. 19PCh. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Prob. 21PCh. 7.1 - Prob. 22PCh. 7.1 - Prob. 23PCh. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Prob. 25PCh. 7.1 - Determine the ratio of a/b for which the shear...Ch. 7.1 - Prob. 27PCh. 7.1 - Prob. 28PCh. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Prob. 31PCh. 7.1 - Prob. 32PCh. 7.1 - Prob. 33PCh. 7.1 - Prob. 34PCh. 7.1 - Prob. 35PCh. 7.1 - Prob. 36PCh. 7.1 - Prob. 37PCh. 7.1 - Prob. 38PCh. 7.1 - Prob. 39PCh. 7.1 - Prob. 40PCh. 7.1 - Determine the x, y, z components of force and...Ch. 7.1 - z components of force and moment at point C in the...Ch. 7.1 - Prob. 43PCh. 7.1 - Prob. 44PCh. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Prob. 45PCh. 7.2 - Draw the shear and moment diagrams for the beam...Ch. 7.2 - Draw the shear and moment diagrams for the beam...Ch. 7.2 - Draw the shear and moment diagrams of the beam (a)...Ch. 7.2 - If L = 9 m, the beam will fail when the maximum...Ch. 7.2 - Draw the shear and moment diagrams for the...Ch. 7.2 - Prob. 51PCh. 7.2 - Prob. 52PCh. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Prob. 54PCh. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - Prob. 56PCh. 7.2 - Draw the shear and bending-moment diagrams for...Ch. 7.2 - Draw the shear and moment diagrams for the...Ch. 7.2 - Prob. 59PCh. 7.2 - The shaft is supported by a smooth thrust bearing...Ch. 7.2 - Prob. 61PCh. 7.2 - Prob. 62PCh. 7.2 - Prob. 63PCh. 7.2 - Prob. 64PCh. 7.2 - Prob. 65PCh. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Prob. 67PCh. 7.2 - Prob. 68PCh. 7.2 - Express the internal shear and moment components...Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Prob. 70PCh. 7.3 - Prob. 71PCh. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Prob. 73PCh. 7.3 - Draw the shear and moment diagrams for the...Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Prob. 76PCh. 7.3 - Prob. 77PCh. 7.3 - Draw the shear and moment diagrams for the shaft....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Prob. 80PCh. 7.3 - Prob. 81PCh. 7.3 - Prob. 82PCh. 7.3 - Prob. 83PCh. 7.3 - Prob. 84PCh. 7.3 - Prob. 85PCh. 7.3 - Prob. 86PCh. 7.3 - Prob. 87PCh. 7.3 - Prob. 88PCh. 7.3 - Prob. 89PCh. 7.3 - Prob. 90PCh. 7.3 - Prob. 91PCh. 7.3 - Prob. 92PCh. 7.3 - Prob. 93PCh. 7.4 - Prob. 94PCh. 7.4 - Prob. 95PCh. 7.4 - Determine the tension in each segment of the cable...Ch. 7.4 - Prob. 97PCh. 7.4 - Prob. 98PCh. 7.4 - Prob. 99PCh. 7.4 - If cylinder E has a mass of 20 kg and each cable...Ch. 7.4 - Prob. 101PCh. 7.4 - Prob. 102PCh. 7.4 - If yB = 1.5 ft. determine the largest weight of...Ch. 7.4 - The cable AB is subjected to a uniform loading of...Ch. 7.4 - Determine the maximum uniform loading w, measured...Ch. 7.4 - The cable is subjected to a uniform loading of w =...Ch. 7.4 - Prob. 107PCh. 7.4 - Prob. 108PCh. 7.4 - If the pipe has a mass per unit length of 1500...Ch. 7.4 - Prob. 110PCh. 7.4 - Prob. 111PCh. 7.4 - Prob. 112PCh. 7.4 - Prob. 113PCh. 7.4 - A telephone line (cable) stretches between two...Ch. 7.4 - Prob. 115PCh. 7.4 - Prob. 116PCh. 7.4 - Prob. 117PCh. 7.4 - A cable has a weight of 5 lb/ft. If it can span...Ch. 7.4 - Prob. 119PCh. 7.4 - The power transmission cable weighs 10 lb/fl. If...Ch. 7.4 - The power transmission cable weighs 10 lb/ft. If h...Ch. 7.4 - Prob. 122PCh. 7.4 - Prob. 123PCh. 7.4 - The man picks up the 52-ft chain and holds it just...Ch. 7.4 - Determine the internal normal force, shear force,...Ch. 7.4 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - Prob. 127RPCh. 7.4 - Prob. 128RPCh. 7.4 - Prob. 129RPCh. 7.4 - Prob. 130RPCh. 7.4 - Prob. 131RPCh. 7.4 - Prob. 132RPCh. 7.4 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - Determine the normal force, shear force, and...Ch. 7.4 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - Prob. 137RPCh. 7.4 - Prob. 138RPCh. 7.4 - Prob. 139RP
Knowledge Booster
Similar questions
- Distilled water is being cooled by a 20% propylene glycol solution in a 1-1/U counter flow plate and frame heat exchanger. The water enters the heat exchanger at 50°F at a flow rate of 86,000 lbm/h. For safety reasons, the water outlet temperature should never be colder than 35°F. The propylene glycol solution enters the heat exchanger at 28°F with a flow rate of 73,000 lbm/h. The port distances on the heat exchanger are Lv = 35 in and Lh = 18 in. The plate width is Lw = 21.5 2 in. The plate thickness is 0.04 in with a plate pitch of 0.12 in. The chevron angle is 30° and the plate enlargement factor is 1.17. All ports have a 2 in diameter. The fouling factor of the propylene glycol solution can be estimated as 2 ×10−5 h-ft2-°F/Btu. a. Determine the maximum number of plates the heat exchanger can have while ensuring that the water outlet temperature never drops below 35°F. b. Determine the thermal and hydraulic performance of the heat exchanger with the specified number of plates.…arrow_forwardLiquid pentane is flowing in the shell of a shell and tube heat exchanger at a rate of 350,000lbm/hr and an average temperature of 20°F. The shell has a diameter of 27 in and a length of 16ft. The tubes in the heat exchanger are ¾-in 15 BWG tubes on a 1-in triangular pitch. The purposeof this problem is to investigate how the number of baffles impacts the heat transfer and thepressure drop on the shell side of the heat exchanger. Calculate the shell-side convective heattransfer coefficient and pressure drop for the case where the heat exchanger has 10 baffles. Repeatthe calculation for 20 baffles. Then determine thea. Ratio of the shell-side convective heat transfer coefficient for the 20-baffle heat exchangerto the 10-baffle heat exchangerb. Ratio of the shell-side pressure drop for the 20-baffle heat exchanger to the 10-baffle heatexchangerc. If the optimum baffle spacing is somewhere between 0.4Ds and 0.6Ds, how many baffleswould you recommend for this heat exchanger? What are the…arrow_forwardThe evaporator of a vapor compression refrigeration cycle utilizing R-123 as the refrigerant isbeing used to chill water. The evaporator is a shell and tube heat exchanger with the water flowingthrough the tubes. The water enters the heat exchanger at a temperature of 54°F. The approachtemperature difference of the evaporator is 3°R. The evaporating pressure of the refrigeration cycleis 4.8 psia and the condensing pressure is 75 psia. The refrigerant is flowing through the cycle witha flow rate of 18,000 lbm/hr. The R-123 leaves the evaporator as a saturated vapor and leaves thecondenser as a saturated liquid. Determine the following:a. The outlet temperature of the chilled waterb. The volumetric flow rate of the chilled water (gpm)c. The UA product of the evaporator (Btu/h-°F)d. The heat transfer rate between the refrigerant and the water (tons)arrow_forward
- The blade support of a hacksaw is subject to compression when a blade is installed and tightened. What is the state of stress (total combined stress) at A in MPa if the compression in the support is 1,524 N. Note: pay close attention to what is compression and what is tension and use a negative sign for the former. 100 mm 8 mm 3 mm 75 mm A 8 mm 3 mm B 50 mmarrow_forwardThe answer is not 4.378 ft/sarrow_forwardThe answer is not 0.293 marrow_forward
- please first help me solve this problem find the line of action and them help to find the forces like for example {fx= fy= mz= and determine the shear force in the nailsarrow_forwardAn open channel of square cross section had a flowrate of 17.2 ft³/s when first used. After extended use, the channel became 0.6-filled with silt. Determine the flowrate for this silted condition. Assume the Manning coefficient is the same for all the surfaces. Qs= ! ft³/sarrow_forward(Manning equation) The triangular flume shown in the figure below is built to carry its design flowrate, Qo, at a depth of 0.991 m as is indicated. If the flume is to be able to carry up to twice its design flowrate, Q = 2Qo, determine the freeboard, I, needed. ✓ -90°- 0.991 m i marrow_forward
- Water flows in a 2-ft-wide rectangular channel at a rate of 10 ft³/s. If the water depth downstream of a hydraulic jump is 2.5 ft, determine (a) the water depth upstream of the jump, (b) the upstream and (c) downstream Froude numbers, and (d) the head loss across the jump. (a) y₁ = i (b) Fr₁ = i (c) Fr₂ = i (d) h₁ = ft ftarrow_forwardA hydraulic jump at the base of a spillway of a dam is such that the depths upstream and downstream of the jump are 0.8 and 3.2 m, respectively (see the Video). If the spillway is 12 m wide, what is the flowrate over the spillway? Q= i m³/sarrow_forward(Manning equation) Water flows in a rectangular channel of width b at a depth of b/2. Determine the diameter of a circular channel (in terms of b) that carries the same flowrate when it is half-full. Both channels have the same Manning coefficient, n, and slope. barrow_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