Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Chapter 5.3, Problem 5.46P
A motor delivers 500 hp to the shaft, which is tubular and has an outer diameter of 2 in. If it is rotating at 200 rad/s, determine its largest inner diameter to the nearest
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The solid steel shaft DF has a diameter of 25 mm and is supported by smooth
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respectively, determine the absolute maximum shear stress in the shaft.
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3 ft
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The 6-hp reducer motor can turn at 1200 rev>min. If the allowable shear stress for the shaft is tallow = 6 ksi, determine the smallest diameter of the shaft to the nearest 1 16 in. that can be used.
Chapter 5 Solutions
Mechanics of Materials
Ch. 5.3 - Determine the internal torque at each section and...Ch. 5.3 - Determine the. internal torque at each section and...Ch. 5.3 - The solid and hollow shafts are each subjected to...Ch. 5.3 - The motor delivers 10 hp to the shaft. If it...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 - 5-3. The solid shaft is fixed to the support at C...Ch. 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 - Prob. 5.6PCh. 5.3 - Prob. 5.7PCh. 5.3 - The solid 30-mm-diameter shaft is used to transmit...Ch. 5.3 - The solid shaft is fixed to the support at C and...Ch. 5.3 - Prob. 5.10PCh. 5.3 - The assembly consists of two sections of...Ch. 5.3 - Prob. 5.12PCh. 5.3 - 5-13. If The tubular shaft is made from material...Ch. 5.3 - A steel tube having an outer diameter of 2.5 in....Ch. 5.3 - Prob. 5.15PCh. 5.3 - Prob. 5.16PCh. 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 - 5-19. The shaft consists of solid 80-mm-diameter...Ch. 5.3 - Prob. 5.20PCh. 5.3 - 5-21. If the 40-mm-diameter rod is subjected to a...Ch. 5.3 - Prob. 5.22PCh. 5.3 - Prob. 5.23PCh. 5.3 - Prob. 5.24PCh. 5.3 - Prob. 5.25PCh. 5.3 - Prob. 5.26PCh. 5.3 - Prob. 5.27PCh. 5.3 - Prob. 5.28PCh. 5.3 - Prob. 5.29PCh. 5.3 - Prob. 5.30PCh. 5.3 - The solid steel shaft AC has a diameter of 25 mm...Ch. 5.3 - The pump operates using the motor that has a power...Ch. 5.3 - Prob. 5.33PCh. 5.3 - Prob. 5.34PCh. 5.3 - Prob. 5.35PCh. 5.3 - Prob. 5.36PCh. 5.3 - Prob. 5.37PCh. 5.3 - Prob. 5.38PCh. 5.3 - Prob. 5.39PCh. 5.3 - Prob. 5.40PCh. 5.3 - The A-36 steel tubular shaft is 2 m long and has...Ch. 5.3 - Prob. 5.42PCh. 5.3 - The solid shaft has a linear taper from rA at one...Ch. 5.3 - *5-44. The rod has a diameter of 0.5 in. and...Ch. 5.3 - 5-45. Solve Prob. 5-44 for the maximum torsional...Ch. 5.3 - A motor delivers 500 hp to the shaft, which is...Ch. 5.4 - The 60 mm-diameter steel shaft is subjected to the...Ch. 5.4 - Prob. 5.10FPCh. 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 - 5-49. The A-36 steel axle is made from tubes AB...Ch. 5.4 - Prob. 5.50PCh. 5.4 - Determine the maximum allowable torque T. Also,...Ch. 5.4 - If the allowable shear stress is allow = 80 MPa,...Ch. 5.4 - Prob. 5.53PCh. 5.4 - If gear B supplies 15 kW of power, while gears A,...Ch. 5.4 - If the shaft is made of steel with the allowable...Ch. 5.4 - *5-56. The A-36 steel axle is made from tubes AB...Ch. 5.4 - If the rotation of the 100-mm-diameter A-36 steel...Ch. 5.4 - If the rotation of the 100-mm-diameter A-36 steel...Ch. 5.4 - It has a diameter of 1 in. and is supported by...Ch. 5.4 - Prob. 5.60PCh. 5.4 - Prob. 5.61PCh. 5.4 - Prob. 5.62PCh. 5.4 - Prob. 5.63PCh. 5.4 - Prob. 5.64PCh. 5.4 - Prob. 5.65PCh. 5.4 - When it is rotating at 80 rad/s. it transmits 32...Ch. 5.4 - It is required to transmit 35 kW of power from the...Ch. 5.4 - Prob. 5.68PCh. 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 - Prob. 5.72PCh. 5.4 - If the shaft is subjected to a torque T at its...Ch. 5.4 - Prob. 5.74PCh. 5.4 - Prob. 5.75PCh. 5.4 - *5-76. A cylindrical spring consists of a rubber...Ch. 5.5 - Gst = 75 GPa.Ch. 5.5 - The A992 steel shaft has a diameter of 60 mm and...Ch. 5.5 - If the shaft is fixed at its ends A and B and...Ch. 5.5 - Prob. 5.80PCh. 5.5 - Prob. 5.81PCh. 5.5 - 5-82. The shaft is made from a solid steel section...Ch. 5.5 - 5-83. The motor A develops a torque at gear B of...Ch. 5.5 - If the allowable shear stresses for the magnesium...Ch. 5.5 - If a torque of T = 5 kNm is applied to end A,...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. 5.5 - The shaft is subjected to a torque of 800 lbft....Ch. 5.5 - Prob. 5.91PCh. 5.5 - The shaft is made of 2014-T6 aluminum alloy and is...Ch. 5.5 - The tapered shaft is confined by the fixed...Ch. 5.5 - Determine the reactions at the fixed supports A...Ch. 5.7 - 5-95. The aluminum rod has a square cross section...Ch. 5.7 - Prob. 5.96PCh. 5.7 - Prob. 5.97PCh. 5.7 - If it is subjected to the torsional loading,...Ch. 5.7 - Solve Prob.5-98 for the maximum shear stress...Ch. 5.7 - determine the maximum shear stress in the shaft....Ch. 5.7 - If the shaft has an equilateral triangle cross...Ch. 5.7 - 5-102. The aluminum strut is fixed between the two...Ch. 5.7 - is applied to the tube If the wall thickness is...Ch. 5.7 - If it is 2 m long, determine the maximum shear...Ch. 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 - If the solid shaft is made from red brass C83400...Ch. 5.7 - If the solid shaft is made from red brass C83400...Ch. 5.7 - The tube is 0.1 in. thick.Ch. 5.7 - 5-110. For a given maximum average shear stress,...Ch. 5.7 - 5-111. A torque T is applied to two tubes having...Ch. 5.7 - By what percentage is the torsional strength...Ch. 5.7 - 5-113. Determine the constant thickness of the...Ch. 5.7 - 5-114. Determine the torque T that can be applied...Ch. 5.7 - If the allowable shear stress is allow = 8 ksi,...Ch. 5.7 - *5-116. The tube is made of plastic, is 5 mm...Ch. 5.7 - 5–117. The mean dimensions of the cross section of...Ch. 5.7 - 5–118. The mean dimensions of the cross section of...Ch. 5.7 - If it is subjected to a torque of T = 40 Nm....Ch. 5.10 - If the transition between the cross sections has a...Ch. 5.10 - 5–121. The step shaft is to be designed to rotate...Ch. 5.10 - Prob. 5.122PCh. 5.10 - 5–123. The transition at the cross sections of the...Ch. 5.10 - *5–124. The steel used for the step shaft has an...Ch. 5.10 - 5–125. The step shaft is subjected to a torque of...Ch. 5.10 - Determine the radius of the elastic core produced...Ch. 5.10 - Assume that the material becomes fully plastic.Ch. 5.10 - diameter is subjected to a torque of 100 in.kip....Ch. 5.10 - Determine the torque T needed to form an elastic...Ch. 5.10 - Determine the torque applied to the shaft.Ch. 5.10 - 5–131. An 80-mm-diameter solid circular shaft is...Ch. 5.10 - Determine the ratio of the plastic torque Tp to...Ch. 5.10 - 5–133. If the step shaft is elastic-plastic as...Ch. 5.10 - 5–134. The solid shaft is made from an...Ch. 5.10 - 5–135. A 1.5-in.-diameter shaft is made from an...Ch. 5.10 - *5–136. The tubular shaft is made of a...Ch. 5.10 - 5–137. The shaft is made from a strain-hardening...Ch. 5.10 - 5–138. The tube is made of elastic-perfectly...Ch. 5.10 - Determine the torque required to cause a maximum...Ch. 5.10 - *5–140. The 2-m-long tube is made of an...Ch. 5.10 - is made from an elastic perfectly plastic material...Ch. 5.10 - 5–142. The 2-m-long lube is made from an...Ch. 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 torque of 12kN m is applied to the 6-meter steel shaft's free end. The shaft must rotate at a maximum angle of 3. Determine: Determine the smallest shaft diameter d that can be used What will be the shaft's maximum shear stress? For steel; use G = 83 GPa.arrow_forwardThe solid 50-mm-diameter shaft is subjected to the torques applied to the gears. Determine the absolute maximum shear stress in the shaft.arrow_forwardThe electric motor exerts a torque of 800 N- m on the steel shaft ABCD when it is rotating at a constant speed. The angle of twist between A and D is limited to 1.50 degree. Use maximum shear = 60 MPa and modulus of rigidity = 77 GPa. Solve its torque for each shaft AB and BC. And determine the diameter of the Shaft based on strength. 300 N.m 500 N.m 0.4 m 0.6 m 0.3 marrow_forward
- The solid steel shaft 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 12 kW of power to the shaft while it is turning at 50 rev>s. If gears A, B, and C remove3 kW, 4 kW, and 5 kW respectively, determine the maximum shear stress in the shaft within regions CF and BC. The shaft is free to turn in its support bearings D and E.arrow_forwardThe gear motor can develop 14 hp when it turns at 600 rev>min. If the shaft has a diameter of 12 in., determine the maximum shear stress in the shaft.arrow_forwardThe solid 30-mm-diameter shaft is used to transmit the torques applied to the gears. Determine the absolute maximum shear stress in the shaftarrow_forward
- The solid steel shaft AC has a diameter of 25 mm and is supported by smooth bearings at D and E. It is coupled to a motor at C, which delivers 3 kW of power to the shaft while it is turning at 50 rev>s. If gears A and B remove1 kW and 2 kW, respectively, determine the maximum shear stress in the shaft within regions AB and BC. The shaft is free to turn in its support bearings D and E.arrow_forwardThe steel step shaft has an allowable shear stress of Fallow 9 MPa. If the transition between the cross-sections has a radius r-4 mm, determine the maximum torque T that can be applied. Take K-1.25. 20 mm 72 N.m T 50 mm 20 mm 7/2 The maximum torque T that can be applied is. Note: Please enter your answer with three significant digits after the decimal point. Take the torque as positive since the problem does not have multiple sections before the step.arrow_forward3. Motor A develops a power of 2.5 HP and has an attached pulley that rotates at 90 rev/min. Determinethe diameters of the steel shafts located on the pulleys at A and B3 if the allowable shear stress isperm = 15 ksiarrow_forward
- 5. The A-36 steel tubular shaft is 2 m long and has an outer diameter of 50 mm. When it is rotating at 40 rad/s, it transmits 25 kW of power from the motor M to the pump P. Determine the smallest thickness of the tube if the allowable shear stress is tallow = 80 MPa.arrow_forwardThe shaft has a radius c and is subjected to a torque per unit length of t0, which is distributed uniformly over the shaft’s entire length L. If it is fixed at its far end A, determine the angle of twist f of end B. The shear modulus is G.arrow_forwardThe shaft is subjected to a distributed torque along its length of t = (10x2) N # m>m, where x is in meters. If the maximum stress in the shaft is to remain constant at 80 MPa, determine the required variation of the radius c of the shaft for 0 ≤ x ≤ 3 m.arrow_forward
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