Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 5, Problem 4RP
If the thickness of its 2014-T6-aluminum skin is 10 mm, determine the maximum wing torque T that can be applied if τallow = 4 MPa. Also, in a 4-m-long section, determine the angle of twist.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The solid-circular member AC, having a diameter D and a shear modulus of 69 GPa, is subjected to the torques 2T and 3T at points A and B, respectively. If tallow = 35 MPa and (fA/C)allow =2o, determine the maximum permissible value of the torque T.
Use the table given below and your student ID to find the values of L1, L2, and D.
Student ID
L1 (m)
L2 (m)
D (mm)
1131731
1
0.6
78
The shaft is made from a solid steel section AB and a tubular
portion made of steel and having a brass core. If it is fixed to a
rigid support at A, and a torque of T = 50 lb.ft is applied to it at
C, determine the rotation angle that occurs at C relative to A and
compute the maximum shear stress and maximum shear strain in
the brass and steel. Take Gst = 11500 ksi, Gbr = 5600 Ksi.
3 ft
0.5 in.
B
1 in.
T = 50 lb•ft
Two forces, each of magnitude P, are applied to the wrench. The diameter of the steel shaft AB is 30mm. Determine the largest allowable value of P if the shear stress in the shaft is not to exceed 120MPa and it's angle of twist is limited to 7deg. Use G=83GPa for steel.
-Draw and label the diagram correctly, No diagram in the solution will be marked wrong. -Shortcut solution will be marked wrong.
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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A bar having a radius equal to 0.375 inches is subjected to different torques along its span as shown below. Determine the max shear stress that is experienced by the bar. 10-ft 50 16 ft 701-ft solb ftarrow_forwardIf the solid shaft AB to which the valve handle is attached is made of C83400 red brass and has a diameter of 10 mm, determine the maximum couple forces F that can be applied to the handle just before the material starts to fail. Take 7allow = 40 MPa. What is the angle of twist of the handle? The shaft is fixed at A. 150 mm 150 mm 150 mmarrow_forwardThe two steel shafts (1) and (2) each Ø10 should be connected to each other with the help of the sleeve (3) (Øinner = 10, Øoutside = 15) also made of steel and two rivets at the points shown. The shaft (1) is firmly clamped on the left- hand side, the force F = 100 N acts on shaft 2 in the direction of the arrow. How are the brass round rivets to be dimensioned so that a safety of the coupling against failure of S = 10 is achieved? hole for rivets 1 F 3 a) What type of connection does a riveted connection have? b) What type of load does the rivet have? c) What is the diameter of the rivets? d) Which areas of the rivet are loaded? (Draw in figure and formula) e) Dimension the rivetarrow_forward
- A rod is made from two segments: AB is steel and BC is brass. It is fixed at its ends and subjected to a torque of T=680 N⋅m. The steel portion has a diameter of 25 mm Determine the required diameter of the brass portion so the reactions at the walls will be the same. Take Gst = 75 GPa, Gbr = 39 GPa.arrow_forwardA flanged bolt coupling has eight 10-mm diameter steel bolts on 600 mm diameter bolt circle and six 20 mm diameter bolts on 300 mm diameter bolt circle. Determine the maximum torque that can be applied without exceeding the shear stress of 55 MPa for the bolts and for the rods. Use G = 80 GPa.arrow_forwardThe connecting rod of a four stroke cycle Diesel engineis of circular section and of length 550 mm. The diameter and stroke of the cylinder are 150 mm and240 mm respectively. The maximum combustion pressure is 4.7 N/mm2. Determine the diameter ofthe rod to be used, for a factor of safety of 3 with a material having a yield point of 330 MPa.Find also the maximum bending stress in the connecting rod due to whipping action if the engine runsat 1000 r.p.m. The specific weight of the material is 7800 kg/m3. [Ans. 33.2 mm ; 48 MPa]arrow_forward
- The brass wire has a triangular cross section, 2 mm on a side. If the yield stress for brass is tY = 205 MPa, determine the maximum torque T to which it can be subjected so that the wire will not yield. If this torque is applied to the 4-m-long segment, determine the greatest angle of twist of one end of the wire relative to the other end that will not cause permanent damage to the wire. Gbr = 37 GPa.arrow_forward(B) Q// The mean dimensions of the cross section of an airplane fuselage are shown. If the fuelage is made of aluminum alloy having allowable shear stress of Tallw=18ksi, and the angle of twist per foot length of fuselage is not allowed to exceed 0.001 rad/ft, determine the maximum allowable torque that can be sustained by the fuselage. The thickness of the wall is t-0.25 in. G=3.9*10³. 3 ft 4.5 ft 311arrow_forwardA circular rod made of aluminum with a radius of 32.5 mm was placed in a steel tube with a length of 2.4 meters, a radius of 34 mm and a thickness of 1.5 mm, and these two materials were connected together to form a cross-section that would work together. This cantilever is fixed to the beam from the A end. This cantilever beam. A torque of T = 900 Nm is applied from this. Since the stiffness modulus of steel is G = 77 GPa and the stiffness modulus of aluminum is Ga 26 GPa, what is the angle of rotation (torsion) at point H? Calculate. çelik = steelarrow_forward
- The halves of the coupling are held together by four 5/8-in.-diameter bolts. The working stresses are 12 ksi for shear in the bolts and 15 ksi for bearing in the coupling. Find the largest torque T that can be safely transmitted by the coupling. Assume that the forces in the bolts have equal magnitudes. 0.5 in. 3.5 in.arrow_forward100 mm i 70 mm The steel shaft is formed by attaching a hollow shaft to a solid shaft. Determine the maximum torque T that can be applied to the ends of the shaft without exceeding a shear stress of 70MPA or an angle of twist of 2.50 in the 3.5m length. Use G = 83 GPa for steel. T 100 mm 70 mm 70 mm 1.5 m 2 m Tarrow_forwardThe 304 stainless steel tube has a thickness of 10 mm. If the allowable shear stress is tallow = 80 MPa, determine the maximum torque T that it can transmit. Also, what is the angle of twist of one end of the tube with respect to the other if the tube is 4 m long? The mean dimensions are shown.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L
International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L
Understanding Torsion; Author: The Efficient Engineer;https://www.youtube.com/watch?v=1YTKedLQOa0;License: Standard YouTube License, CC-BY