Figure 4 shows a 50mm diameter solid shaft made out of steel whose modulus of rigidity is 75,000 N/mm². The shaft is fully fixed at one end and subjected to the distributed and concentrated torsional loadings shown. Essentially the shaft is subjected to a distributed torque of 1500 Nm/m for the first 700mm of its length, to a concentrated torque of 500Nm at a distance of 700mm from the fixed end and to another concentrated torque of 300Nm at the free end. The torque directions are as shown in Figure 4.

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
4. Figure 4 shows a 50mm diameter solid shaft made out of steel whose modulus of rigidity
is 75,000 N/mm?. The shaft is fully fixed at one end and subjected to the
distributed and concentrated torsional loadings shown.
Essentially the shaft is subjected to a distributed torque of 1500 Nm/m for the first
700mm of its length, to a concentrated torque of 500Nm at a distance of 700mm from
the fixed end and to another concentrated torque of 300Nm at the free end. The torque
directions are as shown in Figure 4.
(a) Sketch the torque diagram for the shaft giving the torque values at the salient points.
(b) Calculate the maximum value for torsional shear stress and state where it occurs
(c) Calculate the angle of twist at the free end
Fixed end
1500NM/m
500NM
700mm
300NM
500mm
Figure 4
Transcribed Image Text:4. Figure 4 shows a 50mm diameter solid shaft made out of steel whose modulus of rigidity is 75,000 N/mm?. The shaft is fully fixed at one end and subjected to the distributed and concentrated torsional loadings shown. Essentially the shaft is subjected to a distributed torque of 1500 Nm/m for the first 700mm of its length, to a concentrated torque of 500Nm at a distance of 700mm from the fixed end and to another concentrated torque of 300Nm at the free end. The torque directions are as shown in Figure 4. (a) Sketch the torque diagram for the shaft giving the torque values at the salient points. (b) Calculate the maximum value for torsional shear stress and state where it occurs (c) Calculate the angle of twist at the free end Fixed end 1500NM/m 500NM 700mm 300NM 500mm Figure 4
Expert Solution
steps

Step by step

Solved in 6 steps with 7 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
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