Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 5.3, Problem 35P
To determine
The smallest diameter of the shaft
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the solid steel sheft DF has a diameter of 25 mm and is supported by smooth bearings at D and E. It is coupled to a motor at F. which delivers 12kw of bower to the shift while turning at 50 rev/s if gears A ,B and C remove 3kw,4kw,5kw respectively . determine the maximum shear stress developed in the shift within Regions CF and BC. the shaft is free to turn in its support bearings D and F
The motor A delivers 3000 hp to the shaft at 1500 rev/min, of which 1000 hp is moved by gear B and 2000 hp is removed by gear C. Determine (a) the maximum shear stress in the shaft; and (b) the angle of twist of end D relative to end A. Use G = 12 x 106 psi for steel, and assume that friction at bearing D is negligible
The motor A delivers 7500 kW to the shaft at 3600 rev/min, of which 2500 kW is removed by gear B and 5000 kW is removed by gear C. Determine (a) the maximum shear stress in the shaft; and (b) the angle of twist of end D relative to end A. Use G = 83 GPa for steel, and assume that friction at bearing D is negligible.
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Chapter 5 Solutions
Mechanics of Materials
Ch. 5.3 - The solid circular shaft is subjected to an...Ch. 5.3 - The hollow circular shaft is subjected to an...Ch. 5.3 - The shaft is hollow from A to B and solid from B...Ch. 5.3 - Determine the maximum shear stress in the...Ch. 5.3 - Determine the maximum shear stress in the shaft at...Ch. 5.3 - Determine the shear stress a: point A on the...Ch. 5.3 - The solid 50-mm-diameter shaft is subjected to the...Ch. 5.3 - The gear motor can develop 3 hp when it turns at...Ch. 5.3 - The solid shaft of radius r is subjected to a...Ch. 5.3 - The solid shaft of radius r is subjected to a...
Ch. 5.3 - Prob. 3PCh. 5.3 - The copper pipe has an outer diameter of 40 mm and...Ch. 5.3 - The copper pipe has an outer diameter of 2.50 in....Ch. 5.3 - The link acts as part of the elevator control for...Ch. 5.3 - The assembly consists of two sections of...Ch. 5.3 - A steel tube having an outer diameter of 2.5 in....Ch. 5.3 - The rod has a diameter of 1 in. and a weight of 10...Ch. 5.3 - The rod has a diameter of 1 in. and a weight of 15...Ch. 5.3 - Prob. 20PCh. 5.3 - The 60-mm-diameter solid shaft is subjected to the...Ch. 5.3 - The 60-mm-diameter solid shaft is subjected to the...Ch. 5.3 - The solid shaft is subjected to the distributed...Ch. 5.3 - If the tube is made from a material having an...Ch. 5.3 - Prob. 29PCh. 5.3 - The motor delivers 50 hp while turning at a...Ch. 5.3 - The solid steel shaft AC has a diameter of 25 mm...Ch. 5.3 - Prob. 35PCh. 5.4 - The 60 mm-diameter steel shaft is subjected to the...Ch. 5.4 - Prob. 10FPCh. 5.4 - The hollow 6061-T6 aluminum shaft has an outer and...Ch. 5.4 - A series of gears are mounted on the...Ch. 5.4 - The 80-mm-diameter shaft is made of steel. If it...Ch. 5.4 - The 80-mm-diameter shaft is made of steel. If it...Ch. 5.4 - The propellers of a ship are connected to an A-36...Ch. 5.4 - Show that the maximum shear strain in the shaft is...Ch. 5.4 - Determine the angle of twist of end B with respect...Ch. 5.4 - Determine the maximum allowable torque T. Also,...Ch. 5.4 - If the allowable shear stress is allow = 80 MPa,...Ch. 5.4 - Determine the angle of twist of the end A.Ch. 5.4 - The hydrofoil boat has an A992 steel propeller...Ch. 5.4 - Also, calculate the absolute maximum shear stress...Ch. 5.4 - If a torque of T = 50 N m is applied to the bolt...Ch. 5.4 - If a torque of T= 50N m is applied to the bolt...Ch. 5.4 - If the motor delivers 4 MW of power to the shaft...Ch. 5.4 - Determine the angle of twist at the free end A of...Ch. 5.5 - Gst = 75 GPa.Ch. 5.5 - The shaft is made of L2 tool steel, has a diameter...Ch. 5.5 - Each has a diameter of 25 mm and they are...Ch. 5.5 - Each has a diameter of 25 mm and they are...Ch. 5.5 - It is fixed at its ends and subjected to a torque...Ch. 5.5 - 5–89. Determine the absolute maximum shear stress...Ch. 5.7 - If the yield stress for brass is Y = 205 MPa,...Ch. 5.7 - By what percentage is the shaft of circular cross...Ch. 5.7 - Prob. 97PCh. 5.7 - Also, find the angle of twist of end B. The shaft...Ch. 5.7 - Also, find the corresponding angle of twist at end...Ch. 5.7 - Prob. 110PCh. 5.7 - Determine the average shear stress in the tube if...Ch. 5.7 - By what percentage is the torsional strength...Ch. 5.7 - Prob. 114PCh. 5.7 - Prob. 115PCh. 5.7 - Prob. 119PCh. 5.10 - Prob. 121PCh. 5.10 - If the radius of the fillet weld connecting the...Ch. 5.10 - Prob. 125PCh. 5.10 - Determine the radius of the elastic core produced...Ch. 5.10 - Prob. 128PCh. 5.10 - Determine the torque T needed to form an elastic...Ch. 5.10 - Determine the torque applied to the shaft.Ch. 5.10 - Prob. 131PCh. 5.10 - Determine the ratio of the plastic torque Tp to...Ch. 5.10 - Determine the applied torque T, which subjects the...Ch. 5.10 - Determine the radius of its elastic core if it is...Ch. 5.10 - Plot the shear-stress distribution acting along a...Ch. 5.10 - If the material obeys a shear stress-strain...Ch. 5.10 - It is made of an elastic perfectly plastic...Ch. 5.10 - Prob. 139PCh. 5.10 - Prob. 140PCh. 5.10 - Prob. 142PCh. 5.10 - Prob. 143PCh. 5 - The shaft is made of A992 steel and has an...Ch. 5 - The shaft is made of A992 steel and has an...Ch. 5 - Determine the shear stress at the mean radius p =...Ch. 5 - If the thickness of its 2014-T6-aluminum skin is...Ch. 5 - Determine which shaft geometry will resist the...Ch. 5 - If couple forces P = 3 kip are applied to the...Ch. 5 - If the allowable shear stress for the aluminum is...Ch. 5 - Determine the angle of twist of its end A if it is...Ch. 5 - This motion is caused by the unequal belt tensions...
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- The hollow shaft has an outside diameter of 22mm and an inside diameter of 15mm. A torque of 1000N-m is applied in the end of the shift in the shown direction. Calculate the shear stress at point C .arrow_forwarda. Determine the absolute maximum shear stress at segment AB (in MPa) b. Determine the absolute maximum shear stress at segment BC (in MPa) c. Determine the angle twist of Gear C relative to A (in degrees) note: indicate the free body diagramarrow_forwardThe steel shaft DF consists of three concentric tubes and is supported by smooth bearings at D and E. It is coupled to a motor at F, which delivers 15 kW of power to the shaft while it is running at 55 rev/ sec. The gears A, B, and C remove 4 kW, 5 kW, and 6 kW, respectively. The shaft is free to turn in its support bearings D and F. Determine the shearing stress developed in segments BC and CEarrow_forward
- Completely solve and box the final answer. Write legibly Determine the maximum mass (kg) can be lifted at E if the 10-HP motor A has a maximum rotation speed of 300 rpm where the diameter of the shaft AB and CE are 10 mm and 15 mm, respectively. The allowable shearing stress is GPa with an F.S. of 1.2 for both shafts. Neglect the deformation of the cable at E.Where: Radius of the gear at B, rB = 100 mm Radius of the gear at C, rC = 150 mmarrow_forwardWrite legibly and box the final answer.arrow_forwardA flanged bolt coupling consists of ten steel 2-in.-diameter bolts spaced evenly around a bolt circle 14 in. in diameter. Determine the torque capacity of the coupling if the allowable shearing stress in the bolts is 6000 psi. Numeric Responsearrow_forward
- Determine the maximum mass (kg) that can be lifted at E if the 8-HP motor A has a maximum rotation speed of 300 rpm where the diameter of the shaft AB and CE are 10 mm and 15 mm, respectively. The allowable shearing stress is 1 GPa with F.S. of 1.2 for both shafts. Neglect the deformation of the cable at E. Where: Radius of the gear at B, rB = 100mm Radius of the gear at C, rC = 150mmarrow_forwardThe motor A delivers 3000 hp to the shaft at 1500 rev/min, of which 1000 hp is removed by gear B and 2000 hp is removed by gear C. 1.) Determine the maximum shear stress in the shaft in ksi. (Answer in 2 decimal places) 2.) Determine the angle of twist in degrees of end D relative to end A. Use G = 12 x 106 psi for steel, and assume that friction at bearing D is negligible. (Answer in 3 decimal places)arrow_forwardDetermine the maximum shear stress in the solid shaft. The diameter of the shaft is 1 in. Assume the bearings between A and B and between C and D have no friction. 20 ft'lb 45 ft'lb 55 ft'lb D 30 ft'lb B Aarrow_forward
- FI0-12. Aseriesofgearsare mountedonthe 40-mm-diameter steel shaft. Determine the angle of twist of gear E relative to gear A. Take G = 75 GPa. G00 N-m 900 N-m SO0 Nm zio mm 300 N-m 200 mm S00 N-m 200 mm 200 mmarrow_forwardThe 60-mm-diameter shaft is made of 6061-T6 aluminum having allowable shear stress of tallow = 80 MPa. Determine the maximum allowable torque T. Also, find the corresponding angle of twist of disk A relative to disk C.arrow_forwardGear B supplies 15 kW of power, while gears A, C and D withdraw 6 kW, 4 kW and 5 kW, respectively. If the shaft is made of steel with the allowable shear stress of Tmax = 75 MPa, and the relative angle of twist between any two gears cannot exceed 0.05 rad, determine the required minimum diameter d of the shaft to the nearest millimeter. The shaft is rotating at 600 rpm. Shear modulus of steel G = 75 MPa| 600 mm 600 mm 600 mmarrow_forward
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