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
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Chapter 8, Problem 74P
To determine
The wrench torque.
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Figure below shows a portion of a pump that is gear-driven at uniform load and speed. The 25 mm diameter solod shaft supported by the bearings is to be made of machined AISI 1045 CD steel. The helical gear is subjected to the axial force F-498 y a radial load F- 750 N and a tangential load of F-1.995 N. Assume the component is
g at room temperature of 70F and the material has s0s reliability factor.
Hint: Be careful when you calculate the bending moment at the fillet, as all the three forces on the helical gear cause bending moment at the fillet. Calculate resultant bedina moment from all the three forces. Bending moment is completely reversed loading.)
25-mm solid
round shaft Fillet
Bending K, = 2.0
Torsional k, = 1.5
Axial K,18
F.
F,
F
Pump
Helical
spur gear
-50 mm
-250-mm dia
FIGURE
1. Identify the critical locations) of stress and show it clearly in a diagram.
2 Identity cleary, all the components of stresses (at the critical point) that will be calcurated (by drawing and clearty…
A cylinder with a nominal 2.5 in ID, a 4.0 in OD, and a 3.0 in length is to be mated with a solid shaft with a nominal 2.5 in diameter. A medium drive fit is desired (as defined in Table 7-9). The cylinder and shaft are made from steel, with Sy = 100 kpsi and E = 30 Mpsi. The coefficient of friction for the steel interface is 0.7.
a. Specify the maximum and minimum allowable diameters for both the cylinder hole and the shaft.
b. Determine the torque that can be transmitted through this joint, assuming the shaft and cylinder are both manufactured within their tolerances such that the minimum interference is achieved.
c. Suppose the shaft and cylinder are both manufactured within their tolerances such that the maximum interference is achieved. Check for yielding of the cylinder at its inner radius by finding the following:
i. The pressure at the interface
ii. The tangential and radial stresses in the cylinder, at its inner radius.
iii. The factor of safety for static yielding of the…
(4) An electric motor purchased by your employer surprisingly arrived without a keyway in the shaft.
The motor has power rating of 7.5kW & 1,800rpm & has a shaft of Ø17mm. It will be used to drive
a centrifugal pump using cast iron sheave. Design the square key to be used in the assembly based on
maximum bearing & shearing stresses of 580MPa & 370MPa, respectively, and factor of safety of 5.
Chapter 8 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 8 - A power screw is 25 mm in diameter and has a...Ch. 8 - Using the information in the footnote of Table...Ch. 8 - Show that for zero collar friction the efficiency...Ch. 8 - A single-threaded power screw is 25 mm in diameter...Ch. 8 - The machine shown in the figure can be used for a...Ch. 8 - The press shown for Prob. 8-5 has a rated load of...Ch. 8 - For the screw clamp shown, a force is applied at...Ch. 8 - The C clamp shown in the figure for Prob. 8-7 uses...Ch. 8 - Find the power required to drive a 1.5-in power...Ch. 8 - A single square-thread power screw has an input...
Ch. 8 - Prob. 11PCh. 8 - An M14 2 hex-head bolt with a nut is used to...Ch. 8 - Prob. 13PCh. 8 - A 2-in steel plate and a 1-in cast-iron plate are...Ch. 8 - Repeat Prob. 8-14 with the addition of one 12 N...Ch. 8 - A 2-in steel plate and a 1-in cast-iron plate are...Ch. 8 - Two identical aluminum plates are each 2 in thick,...Ch. 8 - Prob. 18PCh. 8 - A 30-mm thick AISI 1020 steel plate is sandwiched...Ch. 8 - Prob. 20PCh. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - A 2-in steel plate and a 1-in cast-iron plate are...Ch. 8 - An aluminum bracket with a 12-in thick flange is...Ch. 8 - An M14 2 hex-head bolt with a nut is used to...Ch. 8 - A 34 in-16 UNF series SAE grade 5 bolt has a 34-in...Ch. 8 - From your experience with Prob. 8-26, generalize...Ch. 8 - Prob. 28PCh. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - For a bolted assembly with eight bolts, the...Ch. 8 - Prob. 32PCh. 8 - 8-33 to 8-36 The figure illustrates the...Ch. 8 - 8-33 to 8-36 The figure illustrates the...Ch. 8 - 8-33 to 8-36 The figure illustrates the...Ch. 8 - 8-33 to 8-36 The figure illustrates the...Ch. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - 837 to 840 Repeat the requirements for the problem...Ch. 8 - Prob. 40PCh. 8 - 841 to 844 For the pressure vessel defined in the...Ch. 8 - Prob. 42PCh. 8 - Prob. 43PCh. 8 - Prob. 44PCh. 8 - Bolts distributed about a bolt circle are often...Ch. 8 - The figure shows a cast-iron bearing block that is...Ch. 8 - Prob. 47PCh. 8 - Prob. 48PCh. 8 - Prob. 49PCh. 8 - Prob. 50PCh. 8 - 851 to 854 For the pressure cylinder defined in...Ch. 8 - Prob. 52PCh. 8 - 851 to 854 For the pressure cylinder defined in...Ch. 8 - 851 to 854 For the pressure cylinder defined in...Ch. 8 - 855 to 858 For the pressure cylinder defined in...Ch. 8 - 855 to 858 For the pressure cylinder defined in...Ch. 8 - 855 to 858 For the pressure cylinder defined in...Ch. 8 - For the pressure cylinder defined in the problem...Ch. 8 - A 1-in-diameter hot-rolled AISI 1144 steel rod is...Ch. 8 - The section of the sealed joint shown in the...Ch. 8 - Prob. 61PCh. 8 - Prob. 62PCh. 8 - Prob. 63PCh. 8 - Prob. 64PCh. 8 - Using the Goodman fatigue criterion, repeat Prob....Ch. 8 - The figure shows a bolted lap joint that uses SAE...Ch. 8 - Prob. 67PCh. 8 - A bolted lap joint using ISO class 5.8 bolts and...Ch. 8 - Prob. 69PCh. 8 - The figure shows a connection that employs three...Ch. 8 - A beam is made up by bolting together two cold...Ch. 8 - Prob. 72PCh. 8 - Prob. 73PCh. 8 - Prob. 74PCh. 8 - A vertical channel 152 76 (see Table A7) has a...Ch. 8 - The cantilever bracket is bolted to a column with...Ch. 8 - Prob. 77PCh. 8 - The figure shows a welded fitting which has been...Ch. 8 - Prob. 79PCh. 8 - Prob. 80PCh. 8 - Prob. 81P
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- The press shown for Prob. 8-5 has a rated load of 5000 lbf. The twin screws have Acme threads, a diameter of 2 in, and a pitch of in. Coefficients of friction are 0.05 for the threads and 0.08 for the collar bearings. Collar diameters are 3.5 in. The gears have an efficiency of 95 per- cent and a speed ratio of 60:1. A slip clutch, on the motor shaft, prevents overloading. The full- load motor speed is 1720 rev/min. (a) When the motor is turned on, how fast will the press head move? (b) What should be the horsepower rating of the motor? Spur gears Bearings Motor Worm Bronze bushings -2L 's Collar bearingarrow_forwardA gear drive consists of a 16-tooth 20° steel spur pinion and a 48-tooth cast-iron gear having a pitch of 12 teeth/in. For a power input of 1.35 hp at a pinion speed of 700 rev/min, select a face width based on an allowable contact stress of 100 kpsi. Refer to table number 14-8 for elastic coefficient. The face width based on an allowable contact stress of 100 kpsi is in.arrow_forwardEx 3: A double threaded power screw with ACME threads is used to raise a load of 300kN. The nominal diameter is 100mm and the pitch is 12mm. The coefficient of friction at the screw threads is 0.15. Neglecting collar friction, calculate 1- Torque required to raise the load. 2- Torque required to lower the load. 3- Efficiency of the screw.arrow_forward
- A double square thread power screw is to raise a load of 70 kN. The screw has a mean diameter of 33.375 mm and a pitch of 6 mm. The coefficient of thread friction and collar friction are 0.13 and 0.10, respectively. The collar mean diameter is 90 mm and the screw turns at 90 rpm. Which of the following is the torque required to raise the load without friction effect? Group of answer choices 66845 N-mm 133690 N-mm 236078 N-mm 334840 N-mmarrow_forwardQuestion 3 A single square thread power screw is to raise a load of 50 KN. A screw thread of major diameter of 34 mm and a pitch of 6 mm is used. The coefficient of friction at the thread and collar are 0.15 and 0.1 respectively. If the collar frictional diameter is 100 mm and the screw turns at a speed of 1 rev/s. (Given dm = 31mm, 1 = 6mm, dc = 100mm). Find: (a) the power input to the screw. (b) the combined efficiency of the screw and collar.arrow_forward4 A double-threaded power screw with square threads pushes against a load of 3,641 N at a speed of 15 mm/s. The screw has a major diameter of 20 mm and a pitch of 3 mm. The frictional coefficient of the threads is 0.25, and collar friction is negligible. What is the rotational speed of the screw in units of revolutions per minute? Type your answer 2 pointsarrow_forward
- 34 in 3. The following data apply to the C-clamp: a. The screw is ACME with ¾" Diameter b. Coefficient of thread friction = 0.12 c. Coefficient of collar friction = 0.23 d. Mean collar radius = 0.55 in. e. Max. clamping force = 1000 lb Determine: The tightening torque The operator force at the end of the handle (Note: Use table 8-3 to determine the screw pitch (p))arrow_forwardA square thread power screw without a collar is designed to require a torque TR = 16.15 Nm for raising the load while a torque TL = - 0.5 Nm is required to lower the load. Which of the statements is true? %3D The design can be self-locking if a collar is added with T > 0.5 Nm The system is self-locking even without collar friction O The design cab be self-locking if a collar is added with Tc = 0.5 Nm The design cannot be modified to be made self-lockingarrow_forwardFind the power required to drive a 1.5-in power screw having double square threads with a pitch of 1/4 in. The nut is to move at a velocity of 2 in/s and move a load of F = 2.2 kips. The frictional coefficients are 0.10 for the threads and 0.15 for the collar. The frictional diameter of the collar is 2.25 in.arrow_forward
- A single trapezoidal metric thread power screw is to raise a load of 60 kN. The screw has a mean diameter of 34 mm and a pitch of 5 mm. The coefficient of thread friction and collar friction are 0.15 and 0.11, respectively. The collar mean diameter is 90 mm and the screw turns at 150 rpm. Determine the total torque required to raise the load in N-m.arrow_forwardFigure below shows a portion of a pump that is gear-driven at uniform load and speed. The 25 mm diameter solod shaft supported by the bearings is to be made of machined AISI 1045 CD steel. The helical gear is subjected to the axial force F =499 y a radial load F = 741 N and a tangential load of F=2,006 N. Assume the component is operating at room temperature of 70°F and the material has 50% reliability factor. 25-mm solid Bending K, = 2.0 round shaft Fillet Torsional K = 1.5 F. F, Axial K, = 1.8 F Pump Helical spur gear 50 mm -250-mm dia.- FIGURE 1. Identify the critical location(s) of stress and show it clearly in a diagram. 2. Identify cleary, all the components of stresses (at the critical point) that will be calculated (by drawing and clearly showing the XYZ axes) and show it in a matrix form. Show which components of stresses will have a value zero or non-zero. 3. Calculate the principal stresses and principal directions. Show the principal stresses clearly in a stress element…arrow_forwardA double square thread power screw is to raise a load of 70 kN. The screw has a mean diameter of 33.375 mm and a pitch of 6 mm. The coefficient of thread friction and collar friction are 0.13 and 0.10, respectively. The collar mean diameter is 90 mm and the screw turns at 90 rpm. Which of the following is the torque required to overcome the collar friction? Group of answer choices 630000 N mm 315000 N mm 819000 N mm 409500 N mmarrow_forward
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