Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Textbook Question
Chapter 5.10, Problem 122P
If the radius of the fillet weld connecting the shafts is r = 13.2 mm. and the allowable shear stress for the material is τallow = 150 MPa, determine the maximum power the shaft can transmit.
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5. The built-up shaft is designed to rotate at 450 rpm. If the radius of the fillet
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The shaft is used to transmit 30 hp while turning at 600 rpm. Determine the maximum shear stress in the shaft. The segments are connected together using a fillet weld having a radius of 0.18 in.
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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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- 3) The steel shaft is made from two segments: AB and BC, which are connected using a fillet weld having a radius of 2.8 mm. Determine the maximum shear stress developed in the shaft. 20 mm A 60 N.m B 50 mm m 100 N·m 40 N.marrow_forwardTwo shaft of diameter 50 mm are joined by a rigid flange coupling and transmit a torque in such a way that the shear stress in shaft does not exceed 100 N/mm2. If six bolt are used to join the flange and the bolt circle is 150 mm in diameter. Determine the diameter of the bolt if the permitted shear stress in the bolt is 80N/mm2.arrow_forwardDetermine maximum principal stressarrow_forward
- Determine the shear stress at point A and point B with appropriate unitsarrow_forwardThe shaft is fixed to the wall at A and is subjected to the torques shown. Determine the maximum shear stress in the shaft. A fillet weld having a radius of 2.75 mm is used to connect the shafts at B.arrow_forwardThe two steel members are joined together using a 30° scarf weld. Determine the average normal and average shear stress resisted in the plane of the weld.arrow_forward
- 9) The Tjoint of steel plates which is subjected to 350 kN load is developed using intermitted 4 double fillet welds of length each of 40 mm at an interval of 100 mm. The allowable shear strength of the weld metal is 100 MPa. Determine the leg length of the weld. O 12.45 mm O15.45 mm O 17.25 mm 20.25 mmarrow_forwardThe pressure tank shown is fabricated from spirally-wrapped metal plates that are welded at the seams in the orientation shown. The tank has an inside diameter of 48 in. and a wall thickness of 0.375 in. Determine the largest allowable gage pressure if the allowable shear stress parallel to the weld is 3.10 ksi.arrow_forward6. A shaft of different diameters is planted to the wall at A and is subjected to torque loadings, as shown. Determine the maximum shear stress in the shaft. A fillet weld having a radius of 5 mm is used to connect the shafts at B. (note: the stress concentration diagram is given) 1000 N·m 50 mm B 400 N·m 30 mm 250 N·m 2.0 1.9 1.8 1.7 1.6 K 1.5 1.4 1.3 1.2 1.1 1.0 0.00 0.05 0.10 ▬▬▬▬▬▬▬▬▬▬▬ T D 0.15 LE 0.20 D/d=2.5 0.25 2.0 1.67 1.25 1.11 0.30arrow_forward
- Determine the principal stresses in the cantilevered beam at points A and B.arrow_forwardA solid circular bar is welded to a structural member, as shown by a fillet weld all around the bar. Determine the leg dimension of the fillet weld, if P = 16 kN and permissible shear stress in weld is p = 70 AN / men . Take : B= 100mm. Sractur member 300mm 02arrow_forwardA cross-section of a beam is shown in Figure Q2. If the shear force in this section is V = 281 KN, determine the value and the location of the maximum shear stress in the section. In Figure Q2, a = 72 mm and the origin of the coordinate system is at centroid of the cross section. Z A a AY 2a O 4a Figure Q2 J.L B 3a aarrow_forward
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