Problem # 3: A circular shaft, fixed to the wall, is loaded as indicated in the figure below. Using all three failure criteria (Rankine's theory, Tresca criterion, and Von Mises criterion), determine the load magnitude, R, that causes wielding at point A on the cross-section. Assume the yield strength of the material is 64 ksi. Notes: . . ● Point A is at the mid-depth of the section and on the leftmost fiber (as viewed below). At the fixed base, the shaft will be subjected to a bending moment, a torsional moment, a shear force, and a normal force. Recall for a circular cross-section; /=d* and/=d. Q does not need to be provided, as you should see herein. 64 y

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question
100%
Problem #3: A circular shaft, fixed to the wall, is loaded as indicated in the figure below. Using all three failure
criteria (Rankine's theory, Tresca criterion, and Von Mises criterion), determine the load magnitude, R, that causes
yielding at point A on the cross-section. Assume the yield strength of the material is 64 ksi.
Notes:
.
.
●
Point A is at the mid-depth of the section and on the leftmost fiber (as viewed below).
At the fixed base, the shaft will be subjected to a bending moment, a torsional moment, a shear force, and
a normal force.
Recall for a circular cross-section; 1=d¹ and/=d. Q does not need to be provided, as you should
see herein.
A
3 ft
R
4 in. F
T
2 ft
12R
X
Transcribed Image Text:Problem #3: A circular shaft, fixed to the wall, is loaded as indicated in the figure below. Using all three failure criteria (Rankine's theory, Tresca criterion, and Von Mises criterion), determine the load magnitude, R, that causes yielding at point A on the cross-section. Assume the yield strength of the material is 64 ksi. Notes: . . ● Point A is at the mid-depth of the section and on the leftmost fiber (as viewed below). At the fixed base, the shaft will be subjected to a bending moment, a torsional moment, a shear force, and a normal force. Recall for a circular cross-section; 1=d¹ and/=d. Q does not need to be provided, as you should see herein. A 3 ft R 4 in. F T 2 ft 12R X
Expert Solution
Step 1

Rankine's theory is valid for brittle materials, but not for ductile materials. According to the Tresca criterion, a material point yields when its maximum shear stress reaches that of a uniaxial tension specimen at yield.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Pressure and stress
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning