Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840728
Author: Limbrunner
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 11, Problem 11.71SP
A shaft in a speed-reduction
a. Determine the maximum tensile and compressive stresses caused in the element due to this shear.
b. Sketch the element showing the planes on which the maximum tensile and compressive stresses act.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A thin cylinder of 100 mm internal diameter and 5 mm thickness is subjected to an
internal pressure of 10 MPa and a torque of 2000 N.m.
1. Draw a stress element showing the initial stresses.
2. Calculate the principal stresses and the maximum shear stress.
PROBLEM 1/4 (25 pts)
A 40-mm diameter hole is drilled 3-m deep into the steel shaft. When
the first torque is removed at point B with 6000-N-m and the second
torque is applied at point C with 2000-N-m, determine the following:
a) The Maximum Shear Stress in the shaft.
b) The angle of rotation of the free end of the shaft.
60 mm
40 mm
A
2 m -
3 m
TC Despejado A 018er
9Escribe aquí para buscar
acer
4. What length of a square key is required for a 4-in diameter shaft transmitting 1000 hp at 1000 RPM?
The allowable shear and compressive stresses in the key are 15 ksi and 30 ksi, respectively.
Chapter 11 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 11 - Prob. 11.1PCh. 11 - A rectangular ASTM A36 steel bar 2 in. by 6 in. in...Ch. 11 - Calculate Poisson’s ratio for a cast iron that has...Ch. 11 - Modulus of elasticity, modulus of rigidity, and...Ch. 11 - Compute all the dimensional changes for the steel...Ch. 11 - A surveyor’s steel tape is exactly 100ft long...Ch. 11 - An aluminum wire is stretched between two rigid...Ch. 11 - Prob. 11.8PCh. 11 - A concrete roadway pavement is placed in 60ftlong...Ch. 11 - Prob. 11.10P
Ch. 11 - A 4in. -by- 8in . short wood post is reinforced on...Ch. 11 - A short post. 150mm by 150mm , of Douglas fir, is...Ch. 11 - The cables of a power line are copper-coated steel...Ch. 11 - Prob. 11.14PCh. 11 - For the short column shown, assuming that lateral...Ch. 11 - A 1.0 -in.-diameter hole is drilled on the...Ch. 11 - Prob. 11.17PCh. 11 - A long, flat steel bar 4 in. wide and 38 thick is...Ch. 11 - A long, flat steel bar 5 in. wide and 38 thick has...Ch. 11 - 11.20 An aluminum specimen of circular cross...Ch. 11 - Prob. 11.21PCh. 11 - Prob. 11.22PCh. 11 - 11.23 A concrete cylinder, -in, in diameter, was...Ch. 11 - Prob. 11.24PCh. 11 - For the element of Problem 11.24: a. Locate the...Ch. 11 - Prob. 11.26CPCh. 11 - Prob. 11.27CPCh. 11 - Prob. 11.28CPCh. 11 - Prob. 11.29CPCh. 11 - A 50 -mm-diameter ASTM A36 steel rod is subjected...Ch. 11 - A 4 -ft-long square ASTM A36 steel bar, 2 in. by 2...Ch. 11 - A concrete test cylinder is 150 mm in diameter and...Ch. 11 - A 14 -in.-long steel rod, 112 in diameter, was...Ch. 11 - Determine the change in the diameter of an ASTM...Ch. 11 - 11.35 The steel bar shown in Figure 11.3 (see...Ch. 11 - Compute the change in the thickness of the ASTM...Ch. 11 - The steel rails of a railroad track are laid in...Ch. 11 - A rolled brass rod and a steel rod are secured to...Ch. 11 - 11.39 A -m-long steel member is set snugly between...Ch. 11 - 11.40 The distance between two fixed points on a...Ch. 11 - A steel truss is loaded as shown. The...Ch. 11 - 11.42 For the truss of Problem 5.25, the members...Ch. 11 - A surveyor’s steel tape has a cross-sectional area...Ch. 11 - A 1 -in.-diameter ASTM A36 steel tie rod, 30 ft...Ch. 11 - 11.45 A copper wire is held taut between two...Ch. 11 - 11.46 A horizontal steel member is anchored at...Ch. 11 - 11.47 Three vertical steel wires are loaded as...Ch. 11 - 11.48 Assume for Problem 11.47 that the same load...Ch. 11 - The rod shown is firmly attached to rigid...Ch. 11 - 11.50 A structural steel bar mm in width and mm...Ch. 11 - A redwood timber member having a 16 -in.-square...Ch. 11 - A steel pipe has an outside diameter of 12 in. and...Ch. 11 - A short 14 -in.-square concrete pier is reinforced...Ch. 11 - An ASTM A36 steel rod, 375.06 mm long and having a...Ch. 11 - An aluminum rod with an area of 1.5in.2 and an...Ch. 11 - A solid brass cylinder with a cross-sectional area...Ch. 11 - Three 14 in.-diameter wires are symmetrically...Ch. 11 - Rework Problem 11.57 with outer wires of aluminum,...Ch. 11 - Three rods support a weight, as shown. The...Ch. 11 - A flat steel bar 4 in. wide and 12 thick must be...Ch. 11 - A 19 -mm-diameter hole is drilled on the...Ch. 11 - A flat bar is 38 thick and has a centrally located...Ch. 11 - A long, flat steel bar 125 mm wide and 10 mm thick...Ch. 11 - 11.64 A short -in.-diameter compression member is...Ch. 11 - Prob. 11.65SPCh. 11 - 11.66 A rectangular block of wood, in. by in. in...Ch. 11 - 11.67 A -mm-diameter rod is subjected to an axial...Ch. 11 - The rectangular plate shown is subjected to a...Ch. 11 - A wood block, subjected to a tensile load, fails...Ch. 11 - Prob. 11.70SPCh. 11 - A shaft in a speed-reduction mechanism is loaded...Ch. 11 - An axially loaded 50 -mm-by- 75 -mm steel bar has...
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
- Bearing stress 4. Please provide proper discussion and illustration also complete solution and clear solution please thank you Determine the length of a square key to be used for a 3.73 kW, 1800 rpm electric motor if the motor shaft diameter is 35 mm and the width of the key is approximately one-fourth of the shaft diameter. The allowable shearing stress on the key is 2.45 MPaarrow_forwardshow formula and calculation as fast as , don't hold the question for longer time. 1) The 2.3-in.-diameter drive shaft AB on the helicopter in (Figure 1) is subjected to an axial tension of 10 000 lb and a torque of 345 lb⋅ft. Determine the principal stresses and the maximum in-plane shear stress that act at a point on the surface of the shaft.arrow_forward3. Calculate the contact stress between a 100-mm- diameter steel ball weighing 500 g sitting on a hardened steel surface plate.arrow_forward
- 302. Two solid shafts of different materials are rigidly fastened together and attached to rigid supports as shown in Fig. 3-4. The aluminum segment is 75 mm in diameter, and G, 28 X 10° N/m2. The steel segment has a diameter of 50 mm and G, 83 x 10° N/m². The torque, T 1000 N. m, is applied at the junction of the two segments. Compute the maximum shearing stress developed in the assembly. %3D %3D 3 m 1.5 m Ta Aluminum Steel T=1.0 kN m 75 mm dia. Ga 28 GN/m2 50 mm dia G, = 83 GN/m2 नarrow_forwardA solid steel machine shaft with safe shearing stress of 7000 psi transmits a torque of 10,500 in-lb. A square key is used whose width is equal to one-fourth the shaft diameter and whose length is equal to 1.5 times the shaft diameter. Find the shearing stress in the key in psi.arrow_forwardPlease help me with Mechanics of Deformable Bodies. Please include solutions. Thank you!arrow_forward
- A uniform shaft of diameter 30 mm is subject to a 60 N of tangential force. Calculate the shear stress induced in the shaft.arrow_forwardFind the torsional shear stress on a 2 inch diameter shaft if it is subjected to a torque of 561 in-lb.arrow_forwardProblem 2.2 Consider the following load raising system. a) Calculate the power of the motor if the load is to be raised at a constant speed of 2 m/s. b) Calculate stresses at the element located at point A. 20 МОTOR 100 250 500 500 500 kg 500 kgarrow_forward
- 5.1 Please help. Provide Free Body Diagram, labeled with appropriate quantities to better understand. Also solve. Thank you.arrow_forwardA ship's propeller shaft is 5 inches in diameter. The thrust load is 12,000 lb and the torque is 150,000 in - lb. Determine the resultant maximum shearing and compressive ( tensile ) stresses.arrow_forwardin problem 3.52, consider the following. Do not change the distance between A and B, and B and C.Decreasethediameter of one of the shafts so that the maximum shear stresses in both shafts are equal. Then, find the maximumshear stress. Explain your work concisely and in detail. Clearly and carefully draw your final design.(B)In problem 3.52, consider the following: Do not change the total distance between points A and C. Is it possible tomove the coupling disk (point B) somewhere between A and C so that the maximum shear stresses in shafts ABand BC are equal? Explain your work concisely and in detail. Clearly and carefully draw your final design.(C)Use problem 3.52. Add a force of 500 kN that is perpendicularly applied at point B in the direction from B towardC.Remove the torque.The steel and brass are assumed to have Poisson’s ratios of 0.30. (a)Determine the internalforce in AB.(b)Determine the internal force in BC.(c)Determine the deflection at Point B.(d)Determine thereaction at…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Understanding Stress Transformation and Mohr's Circle; Author: The Efficient Engineer;https://www.youtube.com/watch?v=_DH3546mSCM;License: Standard youtube license