The 60 mm diameter solid shaft is subjected to the distributed and concentrated torsional loadings shown. Determine the absolute maximum and minimun shear stresses on the outer surface of the shaft and specify their locations, measured from the fixed end A. Take : AA = 1.6 m BB = 0.9 m CC - 1200 kV/m 2 kN-m/m AA m CC Nm B вB m

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
icon
Concept explainers
Question
Question 3:
The 60 mm diameter solid shaft is subjected to the distributed and concentrated torsional loadings
shown. Determine the absolute maximum and minimun shear stresses on the outer surface of the
shaft and specify their locations, measured from the fixed end A.
Take :
AA=
1.6
BB =
0.9
CC =
1200
AN/ m
2 kN-m/m
AA m
CC Nm
B
вB m
Solution :
= CC N-m
TAB
CC N-m
2o0ox N.m
CC N.m
Transcribed Image Text:Question 3: The 60 mm diameter solid shaft is subjected to the distributed and concentrated torsional loadings shown. Determine the absolute maximum and minimun shear stresses on the outer surface of the shaft and specify their locations, measured from the fixed end A. Take : AA= 1.6 BB = 0.9 CC = 1200 AN/ m 2 kN-m/m AA m CC Nm B вB m Solution : = CC N-m TAB CC N-m 2o0ox N.m CC N.m
The internal torque for segment BC is Constant T = CC Nm However,
the internal for segment AB varies with x,
T-2000 x+ A4 = 0; T = (2000x- CC) Nm
The minimum shear stress occurs when the internal torque is zero in segment AB.
By setting T = 0
0= (2000x- CC); x=
Ans
And
d= AA-x =
Ans
Ans
The maximum shear stress occurs when the internal torque is the greatest. This
occurs at fixed support A where
d =
Ans
At this location,
(Ts) = 2000.44 –CC=
The polar moment of inertia of the rod is J=(0.03*) = 0.405(10“ )r.
Thus,
(T) (0.03)T)
0.405(10-
T.
MPa
Ans
J
Transcribed Image Text:The internal torque for segment BC is Constant T = CC Nm However, the internal for segment AB varies with x, T-2000 x+ A4 = 0; T = (2000x- CC) Nm The minimum shear stress occurs when the internal torque is zero in segment AB. By setting T = 0 0= (2000x- CC); x= Ans And d= AA-x = Ans Ans The maximum shear stress occurs when the internal torque is the greatest. This occurs at fixed support A where d = Ans At this location, (Ts) = 2000.44 –CC= The polar moment of inertia of the rod is J=(0.03*) = 0.405(10“ )r. Thus, (T) (0.03)T) 0.405(10- T. MPa Ans J
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Combined Loading
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY