Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 12, Problem 12.26CP
Write a program that will calculate the allowable torque that may be applied to either a solid or a hollow circular shaft. User input is to be the allowable shear stress, the type of shaft, and the diameter (or diameters).
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Compute the maximum unit shear in a 3 inches diameter steel shafting that transmits 2400
in-lb of torque at 99 rpm.
A. 4530 psi B. 4250 psi C. 3860 psi D. 4930 psi
Please solve the Problem elaborately and Refer Machine Elements and Stresses Equations from the figures or use other shortcut Methods you have or you may Solve both or in more different methods the better ?. Your solution will be use as reference for my Future Board Exam preparation/review/study. Thank you so much dear your work will be appreciated much and rated excellently.
The problem is stated below. However, change the position of torque to point C from point D.
What is the effect of variation of torque placement in shaft CB?
A shaft is designed to transmit power of 100 kW at 180 rpm. The allowable shear stress is 50MPa and modulus of rigidity of 80 GPa. The angle of twist is not to exceed to 1° in 4-meter length
A. Calculate the diameter of the shaft in inches.
B.If the shaft in A is to be fitted to a hub with material SAE 0105 and fit classification of FN3, what will be the maximum and minimum stresses based on the interference of metal.
Chapter 12 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 12 - Determine the internal resisting torque in the...Ch. 12 - Determine the internal resisting torque in the...Ch. 12 - Calculate the maximum shear stress developed in a...Ch. 12 - Calculate the allowable torque for a hollow steel...Ch. 12 - Calculate the allowable torque that may be applied...Ch. 12 - A hollow circular steel shaft has a 100-mm outside...Ch. 12 - Design a solid circular steel shaft to transmit an...Ch. 12 - Calculate the shear stresses at the outer and...Ch. 12 - A hollow shaft is produced by boring a...Ch. 12 - Pulleys C and D are attached to shaft AB, as...
Ch. 12 - Calculate the angle of twist a 3-in-diameter...Ch. 12 - Calculate the angle of twist a 65-mm-diameter...Ch. 12 - Calculate the angle of twist a 4-in.-diameter...Ch. 12 - Prob. 12.14PCh. 12 - Prob. 12.15PCh. 12 - A solid steel shaft is to resist a torque of 9000...Ch. 12 - A hollow steel shaft has a 50-mm outside diameter...Ch. 12 - If the shaft of Problem 12.17 were solid, with the...Ch. 12 - An automobile engine develops 90 hp at 3500 rpm....Ch. 12 - Calculate the speed (rpm) at which a...Ch. 12 - Select the diameter of a solid circular steel...Ch. 12 - Select the diameter for a hollow steel shaft that...Ch. 12 - A 6-ft-long solid steel shaft with a diameter of 4...Ch. 12 - The outside and inside diameters of a hollow steel...Ch. 12 - Calculate the maximum shear stress developed in a...Ch. 12 - Write a program that will calculate the allowable...Ch. 12 - Write a program that will generate a table of...Ch. 12 - Rework the program of Problem 12.27 using SI...Ch. 12 - Write a program that will generate a table of...Ch. 12 - Compute the maximum shear stress in the hollow...Ch. 12 - Calculate the allowable torque that may be applied...Ch. 12 - Design a hollow steel shaft to transmit a torque...Ch. 12 - A 32-in.-long solid steel circular shaft, 3 in. in...Ch. 12 - The 65-mm-diameter solid shaft shown is subjected...Ch. 12 - Rework Problem 12.34, changing the diameter of...Ch. 12 - Compute the maximum shear stress in the circular...Ch. 12 - Determine the allowable torque a hollow steel...Ch. 12 - A 1.00-m-long steel wire, 4 mm in diameter, is...Ch. 12 - Select the outside and inside diameters for a...Ch. 12 - A solid aluminum shaft, 6 ft in length, is to...Ch. 12 - A 25-mm-diameter solid shaft with an allowable...Ch. 12 - Compute a. the maximum shear stress developed in a...Ch. 12 - What horsepower can a solid steel shaft 6 in. in...Ch. 12 - Calculate the maximum power that may be...Ch. 12 - A small ski lift has a main cable driving wheel 11...Ch. 12 - A 32-mm-diameter solid shaft transmits 100 kW of...Ch. 12 - A solid steel shaft is to transmit power of 58 kW...Ch. 12 - Select the diameter for a solid steel shaft that...Ch. 12 - A solid steel shaft is to transmit 100 hp at a...Ch. 12 - Two shafts-one a hollow steel shaft with an...Ch. 12 - A 112 -in.-diameter solid steel shaft is 40 ft in...Ch. 12 - A solid steel shaft is to transmit 120 hp. The...
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- Answer the following problem. Show your complete solution. Use 4 decimal places. Calculate the diameter of the shaft required to transmit 45 kw at 120 rpm. The maximum torque is likely to exceed the mean by 30% for a maximum permissible shear stress of 55. Calculate also the angle of twist for a length of 2m.arrow_forwardA solid circular drive shaft connects a motor to gears B and C. The drive shaft is steel (G= 66 GPa) with a diameter of d=35 mm. 600 N-m A 200 N-m (1) (2) 100 mm C. 300 mmarrow_forwardFor the steel shaft shown in Fig. Draw a torque diagram for the shaft. 10 ft-kip 15 ft-kip 20 ft-kip CGGGG T 15 ft-kiparrow_forward
- Please don't copy from online. Compare the weights of equal lengths of hollow and solid shafts to transmit a given torque for the same maximum shear stress if the inside diameter is 2/3 of the outside.arrow_forwardThe diameter of shaft is 45mm. Compare the shear stress in the key to the torque in the shaft. calculate the key size to use for the 15 kW low speed shaft with a speed of 384 rpm. Take bxb = 10mm x 10mm as d = 45mm L = 1.5 cm.arrow_forwardI have a 52100 steel hollow shaft, that will be threaded into a 1 inch thick plate of aluminum 7075. The shaft is 960 mm in length, 40 mm OD and 20 mm ID. The threaded end of the shaft is M30X3.5. What would be the recommended torque for the shaft, with the dissimilar metals.arrow_forward
- For the steel shaft shown in Fig. Draw a torque diagram for the shaft. 17 ft kip 60 ft-kip 12 ft-kip 10 ft-kip 25 ft-kiparrow_forwardwhat is the polar moment of inertia (in^4) of a solid shaft that has a torque of 2Kn-m and a stress of 30MPa?arrow_forwardFor the steel shaft shown in Fig. Draw a torque diagram for the shaft. 8 kN-m 15 kN-m 6 kN-m GGGGG T 14 kN-marrow_forward
- es/ EN6902 / General / Final Exam A Wind Turbine has a maximum output of 2MW at a speed of 20 rpm. A shaft of length 2m made of EN8 steel (properties given in the table below) is to transfer torque from the propeller to the turbine. Using a design stress for EN8 Shafting as 240 MPa. You are to: Calculate the diameter size of a solid shaft in mm, so that it will not fail due to torsion. EN8 Shafting Steel Ultimate tensile stress 850 MPa Ultimate shear stress 490 MPa Tensile Yield stress 530 MPa Shear Yield stress 300 MPa Young's miodulus Modulus of rigidity 210 Gpa 78 GPa Select one: O a. 270 O b. 136 O c. 135 O d. 272 SWarrow_forwardtopic: torsion in circular shafts The hollow shaft used in the system has the following conditions: Outer diameter (Ø): 150 mm Ø Allowable Shearing Stress: 85 MPa Determine the thickness (mm) of the shaft. Round to the nearest whole number for the thickness and use 2 decimal places for other solved values. Provide a torque diagram, strictly follow instructed sign convention, and start from left to right.arrow_forwardPROBLEM 2 As an Engineer, you have been tasked by your superiors to determine the shear stress and the angle of twist in sections AB & BC of the shaft loaded in the figure shown below. Given that you used the formular; 7 = to find the shear stress, and used: 0= to find the angle of twist. Where all the symbols have their usual meanings. Show mathematically, how these two formulae are derived. Explain in word and use free- body-diagrams where necessary for clarification. 600 mm CO 5 kNm 1200 mm 100 mm 8 kNm 20 kNarrow_forward
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