Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Chapter 5.3, Problem 5.4FP
Determine the maximum shear stress in the 40-mm-diameter shaft.
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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 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_forwardThe solid shaft has a linear taper from rA at one end to rB at the other. Derive an equation that gives the maximum shear stress in the shaft at a location x along the shaft’s axis.arrow_forwardThe gear motor can develop 3 hp when it turns at 150 rev>min. If the allowable shear stress for the shaft is tallow = 12 ksi, determine the smallest diameter of the shaft to the nearest 1 8 in. that can be used.arrow_forward
- For a given maximum average shear stress, determine the factor by which the torque-carrying capacity is increased if the half-circular section is reversed from the dashed-line position to the section shown. The tube is 0.1 in. thick.arrow_forwardA solid steel shaft is to be used to transmit 5 hp from the motorto which is attached. If the shaft rotates at 175 rpm and thesteel has an allowable shear stress of 14.5 ksi, determine therequired diameter of the shaft to the nearest 1/8 in.arrow_forward2. The solid shaft has a diameter of 0.75 in. If it is subjected to the torques shown, determine the maximum shear stress developed in regions CD and EF of the shaft. The bearings at A and F allow free rotation of the (ANS: point A: 6.04 MPa, point B: 6.04 MPa) shaft. J. -12 (0.75)² = 0.0129 11 B A 25 lb-ft 40 lb-ft 20 lb-ft 35 lb-ftarrow_forward
- The 150-mm-diameter shaft is supported by a smooth journal bearing at E and a smooth thrust bearing at F. Determine the maximum shear stress developed in the shaft.arrow_forwardtwo solid steel shafts of different diameters are joined together at point C. the diameter of the smaller shaft is 0.5 in, while the diameter of the larger shaft is 1 in. if the supports at both ends, A & B, are unyielding / rigid, and a counterclockwise torque of 500 ft lb at point D, determine the maximum shear stress in the shaft in ksi. The modulus of rigidity for steel is 10800 ksi.Show full solution pleasearrow_forwardDetermine the required diameter of the pins at A and B to the nearest 116 in. if the allowable shear stress for the material is tallow = 6 ksi. Pin A is subjected to double shear, whereas pin B is subjected to single shear.arrow_forward
- The solid shaft is fixed to the support at C and subjected to the torsional loadings. Determine the shear stress at points A and B on the surface, and sketch the shear stress on volume elements located at these points.arrow_forwardThe steel shaft is formed by attaching a hollow shaft to a solid shaft. Determine the shear stress (in Pa) in the hollow shaft using the maximum torque T that can be applied to the ends of the shaft without exceeding a shear stress of 70066350 Pa and angle of twist of 2.5° for the whole shaft. Use 6 = 83000000000 Pafor the shaft, x = 2.25 m, and y = 1.63 m. Round off the final answer to two decimal places. T 100 mm 70 mm 70 mm yarrow_forwardA circular hollow shaft has outer diameter of 60 mm and thickness of 15 mm and is subjected to a torque load of 4.2 kN•m. Determine the resulting minimum shear stress. Also determine the resulting maximum shear stress.arrow_forward
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