UPSC Exam > UPSC Questions > Principal stress induced at a point are s1 = ...
Start Learning for Free
Principal stress induced at a point are s1 = 200 mpa, s2 = 150 mpa. Yield stress of material s y = 460 mpa. Then factor of safety as per Hencky' theory of failure is?
Most Upvoted Answer
Principal stress induced at a point are s1 = 200 mpa, s2 = 150 mpa. Yi...
Factor of Safety Calculation using Hencky's Theory of Failure:
To calculate the factor of safety using Hencky's theory of failure, we can use the formula:
\[
\text{Factor of Safety (FoS)} = \frac{s_y}{s_1}
\]
where:
- \(s_y\) = Yield stress of the material (460 MPa)
- \(s_1\) = Maximum principal stress induced at a point (200 MPa)
Calculation:
- Substitute the values into the formula:
\[
\text{FoS} = \frac{460}{200} = 2.3
\]
Interpretation:
The factor of safety calculated using Hencky's theory of failure is 2.3. This means that the material has a safety margin of 2.3 times the applied stress before it reaches its yield point. In other words, the material can withstand 2.3 times the maximum principal stress induced at a point before it starts to deform plastically. This indicates a relatively high level of safety for the given loading conditions.
By using Hencky's theory of failure, engineers can assess the safety of structures and components by comparing the applied stresses to the material's yield strength. This helps in ensuring that the design is reliable and can withstand the expected loads without failure.
To calculate the factor of safety using Hencky's theory of failure, we can use the formula:
\[
\text{Factor of Safety (FoS)} = \frac{s_y}{s_1}
\]
where:
- \(s_y\) = Yield stress of the material (460 MPa)
- \(s_1\) = Maximum principal stress induced at a point (200 MPa)
Calculation:
- Substitute the values into the formula:
\[
\text{FoS} = \frac{460}{200} = 2.3
\]
Interpretation:
The factor of safety calculated using Hencky's theory of failure is 2.3. This means that the material has a safety margin of 2.3 times the applied stress before it reaches its yield point. In other words, the material can withstand 2.3 times the maximum principal stress induced at a point before it starts to deform plastically. This indicates a relatively high level of safety for the given loading conditions.
By using Hencky's theory of failure, engineers can assess the safety of structures and components by comparing the applied stresses to the material's yield strength. This helps in ensuring that the design is reliable and can withstand the expected loads without failure.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Top Courses for UPSCView all
Principal stress induced at a point are s1 = 200 mpa, s2 = 150 mpa. Yield stress of material s y = 460 mpa. Then factor of safety as per Hencky' theory of failure is?
Question Description
Principal stress induced at a point are s1 = 200 mpa, s2 = 150 mpa. Yield stress of material s y = 460 mpa. Then factor of safety as per Hencky' theory of failure is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Principal stress induced at a point are s1 = 200 mpa, s2 = 150 mpa. Yield stress of material s y = 460 mpa. Then factor of safety as per Hencky' theory of failure is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Principal stress induced at a point are s1 = 200 mpa, s2 = 150 mpa. Yield stress of material s y = 460 mpa. Then factor of safety as per Hencky' theory of failure is?.
Principal stress induced at a point are s1 = 200 mpa, s2 = 150 mpa. Yield stress of material s y = 460 mpa. Then factor of safety as per Hencky' theory of failure is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Principal stress induced at a point are s1 = 200 mpa, s2 = 150 mpa. Yield stress of material s y = 460 mpa. Then factor of safety as per Hencky' theory of failure is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Principal stress induced at a point are s1 = 200 mpa, s2 = 150 mpa. Yield stress of material s y = 460 mpa. Then factor of safety as per Hencky' theory of failure is?.
Solutions for Principal stress induced at a point are s1 = 200 mpa, s2 = 150 mpa. Yield stress of material s y = 460 mpa. Then factor of safety as per Hencky' theory of failure is? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Principal stress induced at a point are s1 = 200 mpa, s2 = 150 mpa. Yield stress of material s y = 460 mpa. Then factor of safety as per Hencky' theory of failure is? defined & explained in the simplest way possible. Besides giving the explanation of
Principal stress induced at a point are s1 = 200 mpa, s2 = 150 mpa. Yield stress of material s y = 460 mpa. Then factor of safety as per Hencky' theory of failure is?, a detailed solution for Principal stress induced at a point are s1 = 200 mpa, s2 = 150 mpa. Yield stress of material s y = 460 mpa. Then factor of safety as per Hencky' theory of failure is? has been provided alongside types of Principal stress induced at a point are s1 = 200 mpa, s2 = 150 mpa. Yield stress of material s y = 460 mpa. Then factor of safety as per Hencky' theory of failure is? theory, EduRev gives you an
ample number of questions to practice Principal stress induced at a point are s1 = 200 mpa, s2 = 150 mpa. Yield stress of material s y = 460 mpa. Then factor of safety as per Hencky' theory of failure is? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup