Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
10th Edition
ISBN: 9780073398204
Author: Richard G Budynas, Keith J Nisbett
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 17, Problem 31P
(a)
To determine
The variation of factor of safety with the rope wire diameter, if bending is neglected.
(b)
To determine
The variation of factor of safety with the rope wire diameter, if bending is neglected and
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
An extra flexible 8 x 19 steel wire rope of 38
mm diameter is used with a 2 m diameter
hoist drum to lift 80 kN of load. The weight
of the rope is 36 kN. The maximum speed is
3 m/s and the acceleration is 1.6 m/s2. The
diameter of the wire may be taken as 0.05 d,
where d is the diameter of wire rope. The
modulus of elasticity of the entire rope is
84,000 MPa. Determine the effective load
during acceleration. Express your final
answer in kN and use ONE decimal place.
Write only the numerical value and do not
type the unit anymore.
Solve the problem below. For your final answer, use whole number.
An extra flexible 8 × 19 steel wire rope of 38 mm diameter is used with a 2 m diameter hoist drum to lift 70 kN of load. The wire rope has a length of 900 meters. The maximum speed is 3 m / s and the acceleration is 1.5 m / s2. The diameter of the wire may be taken as 0.05 d, where d is the diameter of wire rope. The modulus of elasticity of the entire rope is 84 × 103 N/mm2. The weight of the rope is 53 N/m length. Determine the effective load during acceleration of load in kN.
A 1500 kg load is lifted by a hoist using a Ø1.5m drum. The drum is driven by an
electric motor through a gearbox with a reduction ratio-25, At a certain instant, 175
m of unwrapped rope is lifling the load and 7.4 m of rope is wrapped on the drum.
Drum:
diameter ØI5 m
IDRUM –
322 kg-m² (includes the inertia effects of the gearbox only)
Motor,
speed
IMOTOR
1200 rpm
1.24 kg-m2
Rope:
3 kel
a) Show that the equivalent moment of inertia of the motor and drumgearbox is
2695 kg-m the drum
byArthis instant, determine the motor toreue requinedifthe load is accelerating
q t the load s accelerating
upward at 3.5 s-
Chapter 17 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 17 - Example 17-2 resulted in selection of a 10-in-wide...Ch. 17 - A 6-in-widc polyamide F-l flat belt is used to...Ch. 17 - Prob. 3PCh. 17 - A flat-belt drive is to consist of two...Ch. 17 - In solving problems and examining examples, you...Ch. 17 - Return to Ex. 17-1 and complete the following. (a)...Ch. 17 - Prob. 7PCh. 17 - Prob. 8PCh. 17 - Prob. 9PCh. 17 - Two shafts 20 ft apart, with axes in the same...
Ch. 17 - Prob. 11PCh. 17 - Prob. 12PCh. 17 - A designer has to select a metal-belt drive to...Ch. 17 - Prob. 14PCh. 17 - Prob. 15PCh. 17 - Prob. 16PCh. 17 - Prob. 17PCh. 17 - Two B85 V belts are used in a drive composed of a...Ch. 17 - Prob. 19PCh. 17 - Prob. 20PCh. 17 - The geometric implications of a V-flat drive are...Ch. 17 - A 2-hp electric motor running at 1720 rev/min is...Ch. 17 - The standard roller-chain number indicates the...Ch. 17 - Prob. 24PCh. 17 - A double-strand no. 60 roller chain is used to...Ch. 17 - A four-strand no. 40 roller chain transmits power...Ch. 17 - Prob. 27PCh. 17 - Prob. 28PCh. 17 - Prob. 29PCh. 17 - Prob. 30PCh. 17 - Prob. 31PCh. 17 - Prob. 32PCh. 17 - Prob. 33PCh. 17 - For Prob. 17-29 estimate the elongation of 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
- A small lab scale has a rigid L-shaped frame ABC consisting of a horizontal arm AB (length b = 10 in.) and a vertical arm BC (length c = 7 in.) pivoted al point B. The pivot is attached to the outer frame BCD that stands on a laboratory bench. The position of the pointer al C is controlled by a spring, Jt = 5 lb/in., that is attached to a threaded rod. The pitch of the threads is p = 1/16 in. Under application of load W, 12 revolutions of the nut are required to bring the pointer back to the mark. Calculate the weight W.arrow_forwardA flange coupling is to connect two 57mm shafts. The hubs of the coupling are each 111m indiameter and 92mm hub length. Six 16- mm bolts in a 165-mm diameter bolt circle connects theflanges. The key is 14mm high, 14mm wide and 86mm long. Coupling is to transmit 45kW at 160 rpm.For all parts, yield point value in shear is one-half the yield point value in tension or compression thatis 448MPa. Determinea. Shearing stress of the key and its factor of safetyb. Bearing stress of the key and its factor of safetyc. Shearing stress in bolts and the factor of safety based on yield pointarrow_forwardA vertical mine hoist is to carry a cage loaded with ore at a total load of 8 metric tons. The depth of the main shaft is 100 meters. A 6 x 19 IPS wire rope with diameter of 44.5 mm is to be used for hoisting on a sheave 1.0 m diameter. The cage with load is to start from rest ans will attain a maximum velocity of 160 meters/min in 10 seconds. Find the factor of safety.arrow_forward
- Provide step-by-step solution with complete given and formula to this problem. Draw sketch also. A mine hoist is to carry a cage loaded with ore at a total load of 8 tons. The depthof mine shaft is 328 ft. A 6 x 19 IPS wire rope with rope diameter of 1.75 in is to beuse with sheave diameter of 39 in. The cage loaded is to start from rest and will attaina maximum velocity of 525 fpm in 10 seconds. Find the total load of the rope. A. 12,086 lbs B. 14,086 lbs C. 16,086 D. 18, 086 lbsarrow_forwardA 6-in-wide polyamide F-1 flat belt is used to connect a 4-in-diameter pulley to drive a larger pulley with an angular velocity ratio of 3. The center-to-center distance is 8 ft. The angular speed of the small pulley is 1850 rev/min as it delivers 2 hp. The service is such that a service factor Ks of 1.25 is appropriate. (a) Find Fc, Fi, F1a, and F2. (b) Find Ha, nfs, and belt length. (c) Find the dip.arrow_forward5. Design a compression coupling for a shaft to transmit 1300 N-m. The allowable shear stress for the shaft and key is 40 MPa and the number of bolts connecting the two halves are 4. The permissible tensile stress for the bolts material is 70 MPa. The coefficient of friction between the muff and the shaft surface may be taken as 0.3. [Ans. d = 55 mm; D = 125 mm; L=192.5 mm; d = 24 mm] 720arrow_forward
- Q 3(a) A block of weight 1 kN is attached to a string which passes over a smooth pulley. When a weight of W = 500 N is attached to the string as shown in Figure Q3(a), the block is on the point of moving. Perform the following; (1) draw free body diagram; (ii) determine the coefficient of friction; (ii) normal force; (iv) frictional force. Pulley 50° 1 kN W Figure Q3(a) (b) If the angle of inclination of the string connecting pulley and the block is increased, explain its effect on normal force and frictional force, assuming the weight of the block remains same. Refer to Figure Q3(a).arrow_forwardAfter an unfortunate accident occurred at a local warehouse, you were contracted to determine the cause. A jib crane collapsed and injured a worker. An image of this type of crane is shown in the figure. The horizontal steel beam had a mass of 86.80 kg per meter of length, and the tension in the cable was T = 12170 N. The crane was rated for a maximum load of 500 kg. The acceleration due to gravity is g = 9.810 m/s². If d = 6.160 m, s = 0.450 m, x = 1.500 m, and h = 1.980 m, what was the magnitude of W₁ (the load on the crane) before the collapse? What was the magnitude of force Fp at the attachment point P? WL = Fp = P 0 W₁ N Narrow_forwardA steel wire 2 mm diameter is held between chucks. The wire weighs 0.241N/m and the flexural stiffness is 0.157 N.m². If the lowest critical speed is 240 RPM calculate the length of the wire. (a) 5.07 m (b) 3.53 m (c) 1.50 m (d) 0.85 marrow_forward
- Q2/A belt drive consist of two V– belts in parallel, on grooved pulleys of the same size. The angle of the groove is 30°. The cross – section area of each belt is 750 mm? and u is 0.12. The density of the belt material is 1.2 Mg/m³ and the maximum safe stress in the material is 7 MN/m?. Answer the following questions 1- The centrifugal tension in belts is (a) increases power transmitted (b) decreases power transmitted (c) have no effect on power transmitted (d) increases power transmitted up to a certain speed and then decreasesarrow_forward30 mm X1 A pair of pliers grips the bolt as shown below. B E 70 mm 30 mm 30 mm X2 X3 X4 Note: tan 0=y₁/X₂ 30 mm ₁ (a) For the input force, P, determine the force exerted on the bolt. (b) What is the mechanical advantage of this machine? (c) Suggest two ways that the mechanical advantage of this system could be increased.arrow_forwardCalculate the rection forces when the radius of the pulleys are 0,1 m and K = 1200 N.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
EVERYTHING on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY