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 12.27CP
Write a program that will generate a table of required diameters (to
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Compute the torsional shear stress in a circular shaftwith a diameter of 50 mm that is subjected to a torqueof 800 Nm
Compute the torsional shear stress in a circular shaft with a diameter of 50 mm that is subjected
to a torque of 800N-m.
Figure below shows a rotating shaft simply supported in ball bearings at A and D and loaded by a nonrotating
orce Fof 6.8 kN. Using ASTM "minimum" strengths, estimate the life of the part.
6T
td7 (a) Shaft drawing showing all dimensions in millimeters;
all fillets 3-mm radius. The shaft rotates and the load
is stationary; material is machined from AISI 1050
cold-drawn steel.
(b) Bending moment diagram.
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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- 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.arrow_forwardCompute the torsional shear stress in a circular shaft with diameter of 50mm that is subjected to a torque of 800Nm.arrow_forwardCompute the torque that would produce a torsional shear stress of 50 MPa in a square steel rod 20 mm on a side.arrow_forward
- A keyed sprocket delivers a torque of 778.8 N-m thru the shaft of 54 mm OD. The key thickness is 1.578 cm and the width is 1.11 cm. Compute the length of the same key. The permissible stress value of 60 MPa for shear and 90 MPa for tension. (Ans: 4.33 cm)arrow_forwardDesign a square key for a 3 in diameter shaft to withstand a torque of 30000lb-in. The design stresses in shear and bearing can be safely taken as 11 ksi and 22 ksi, respectively. Find the length (inches) From Table AT 19, b=t=3/4 inarrow_forwardTwo designs for a shaft are being considered. Both have an outside diameter of 60 m and are 800 mm long. One is solid but the other is hollow with an internal diameter of 40 mm. Both are made from steel (G=70 GPa). Compare the torsional shear stress, angle of twist of the two designs if they are subjected to a torque of T N. m. Use the last THREE digit of your ID Number for the missing Torque (T). 575arrow_forward
- Please answer in this format. Sketch: Given: Required: Solution: (Please answer in detailed (step by step). Indicate labels on what you are doing/performing, for example what formula is used) A torque To is transmitted between two flanged shafts by means of four 20-mm bolts. diameter of the bolt circle is 2=150mm. If the allowable shear stress in the bolts is 90 Mpa, what is the maximum permissible torque? Disregard friction between between flanges. The Toarrow_forwardA steel shaft is transmitting 55 hp at 1200 rpm. The nature of the load and the type of service of the shaft is such that the allowance shearing stress based on the pure tension is 4000 psi. (MAXIMUM TORSIONAL STRESS AND ANGLE OF TWIST FOR A SOLID SHAFT) Calculate the diameter of the shaft to the nearest commercial size of the shafting. 2.Calculate the torsional deflection of the shaft in degree for one foot length of the shaft.arrow_forwardA 16 in. diameter motor pulley is running at 600 rpm with a 6 in diameter shaft transmitting power to an agricultural locomotive. If the dimensions of the square key is 0.5 x 3 in, what is the maximum force in the pulley’s belt that can be transmitted if the shear stress is limited to 8500 psi and bearing stress limited to 4000 psi?arrow_forward
- Using the results of problem 2, plot the shear force as a function of the shaft diameter using an Excel sheet. (5 mm (< or= to) D (< or= to) 100 mm)arrow_forwardAnswer 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_forwardQuestion 2 The vertical shaft and the pulleys keyed to it in Figure Q2 may be regarded as weightless. A constant angular velocity is used to rotate the shaft. The known belt pulls are shown, and the three pulleys are firmly keyed to the shaft. Calculate the required diameter of a solid circular shaft if the operating stress in shear is 50 MPa. Because the bearings and pulleys are close together, neglect shaft bending. 250 mm B 350 mm ↓ -500 mm- Figure Q2 -3 kN 1 kN 1 kN 1.25 kNarrow_forward
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