Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > What should be the minimum length two a high ...
Start Learning for Free
What should be the minimum length two a high strength steel rod of 12.5 mm diameter so that one end can be twisted by 30o with respect of the other end, without exceeding a shear stress of 270 N/mm2 given
modulus of rigidity G = 8 × 104 N/mm2
modulus of rigidity G = 8 × 104 N/mm2
_________________________ m
Correct answer is between '0.94,0.98'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
What should be the minimum length two a high strength steel rod of 12....
Most Upvoted Answer
What should be the minimum length two a high strength steel rod of 12....
To determine the minimum length of the high strength steel rod, we need to use the formula for shear stress:
Shear stress = (Twisting moment * radius) / (Polar moment of inertia)
Given:
Shear stress = 270 N/mm^2
Diameter = 12.5 mm (radius = 6.25 mm)
Twisting moment = ?
Polar moment of inertia = ?
We also know that the polar moment of inertia can be calculated using the formula:
Polar moment of inertia = (pi/2) * (radius^4)
Substituting the given values, we can find the polar moment of inertia:
Polar moment of inertia = (pi/2) * (6.25^4) = 3062.5 mm^4
Now, rearranging the formula for shear stress, we can find the twisting moment:
Twisting moment = (Shear stress * Polar moment of inertia) / radius
Twisting moment = (270 * 3062.5) / 6.25 = 13320 Nmm
Finally, we can calculate the minimum length of the high strength steel rod using the formula:
Twisting moment = (G * Length^3) / (3 * pi * (radius^4))
Rearranging the formula, we can solve for Length:
Length = (3 * pi * (radius^4) * Twisting moment) / G
Length = (3 * pi * (6.25^4) * 13320) / 8
Length ≈ 334.76 mm
Therefore, the minimum length of the high strength steel rod should be approximately 334.76 mm.
Shear stress = (Twisting moment * radius) / (Polar moment of inertia)
Given:
Shear stress = 270 N/mm^2
Diameter = 12.5 mm (radius = 6.25 mm)
Twisting moment = ?
Polar moment of inertia = ?
We also know that the polar moment of inertia can be calculated using the formula:
Polar moment of inertia = (pi/2) * (radius^4)
Substituting the given values, we can find the polar moment of inertia:
Polar moment of inertia = (pi/2) * (6.25^4) = 3062.5 mm^4
Now, rearranging the formula for shear stress, we can find the twisting moment:
Twisting moment = (Shear stress * Polar moment of inertia) / radius
Twisting moment = (270 * 3062.5) / 6.25 = 13320 Nmm
Finally, we can calculate the minimum length of the high strength steel rod using the formula:
Twisting moment = (G * Length^3) / (3 * pi * (radius^4))
Rearranging the formula, we can solve for Length:
Length = (3 * pi * (radius^4) * Twisting moment) / G
Length = (3 * pi * (6.25^4) * 13320) / 8
Length ≈ 334.76 mm
Therefore, the minimum length of the high strength steel rod should be approximately 334.76 mm.
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
What should be the minimum length two a high strength steel rod of 12.5 mm diameter so that one end can be twisted by 30o with respect of the other end, without exceeding a shear stress of 270 N/mm2 givenmodulus of rigidity G = 8 × 104 N/mm2_________________________ mCorrect answer is between '0.94,0.98'. Can you explain this answer?
Question Description
What should be the minimum length two a high strength steel rod of 12.5 mm diameter so that one end can be twisted by 30o with respect of the other end, without exceeding a shear stress of 270 N/mm2 givenmodulus of rigidity G = 8 × 104 N/mm2_________________________ mCorrect answer is between '0.94,0.98'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about What should be the minimum length two a high strength steel rod of 12.5 mm diameter so that one end can be twisted by 30o with respect of the other end, without exceeding a shear stress of 270 N/mm2 givenmodulus of rigidity G = 8 × 104 N/mm2_________________________ mCorrect answer is between '0.94,0.98'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What should be the minimum length two a high strength steel rod of 12.5 mm diameter so that one end can be twisted by 30o with respect of the other end, without exceeding a shear stress of 270 N/mm2 givenmodulus of rigidity G = 8 × 104 N/mm2_________________________ mCorrect answer is between '0.94,0.98'. Can you explain this answer?.
What should be the minimum length two a high strength steel rod of 12.5 mm diameter so that one end can be twisted by 30o with respect of the other end, without exceeding a shear stress of 270 N/mm2 givenmodulus of rigidity G = 8 × 104 N/mm2_________________________ mCorrect answer is between '0.94,0.98'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about What should be the minimum length two a high strength steel rod of 12.5 mm diameter so that one end can be twisted by 30o with respect of the other end, without exceeding a shear stress of 270 N/mm2 givenmodulus of rigidity G = 8 × 104 N/mm2_________________________ mCorrect answer is between '0.94,0.98'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What should be the minimum length two a high strength steel rod of 12.5 mm diameter so that one end can be twisted by 30o with respect of the other end, without exceeding a shear stress of 270 N/mm2 givenmodulus of rigidity G = 8 × 104 N/mm2_________________________ mCorrect answer is between '0.94,0.98'. Can you explain this answer?.
Solutions for What should be the minimum length two a high strength steel rod of 12.5 mm diameter so that one end can be twisted by 30o with respect of the other end, without exceeding a shear stress of 270 N/mm2 givenmodulus of rigidity G = 8 × 104 N/mm2_________________________ mCorrect answer is between '0.94,0.98'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of What should be the minimum length two a high strength steel rod of 12.5 mm diameter so that one end can be twisted by 30o with respect of the other end, without exceeding a shear stress of 270 N/mm2 givenmodulus of rigidity G = 8 × 104 N/mm2_________________________ mCorrect answer is between '0.94,0.98'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
What should be the minimum length two a high strength steel rod of 12.5 mm diameter so that one end can be twisted by 30o with respect of the other end, without exceeding a shear stress of 270 N/mm2 givenmodulus of rigidity G = 8 × 104 N/mm2_________________________ mCorrect answer is between '0.94,0.98'. Can you explain this answer?, a detailed solution for What should be the minimum length two a high strength steel rod of 12.5 mm diameter so that one end can be twisted by 30o with respect of the other end, without exceeding a shear stress of 270 N/mm2 givenmodulus of rigidity G = 8 × 104 N/mm2_________________________ mCorrect answer is between '0.94,0.98'. Can you explain this answer? has been provided alongside types of What should be the minimum length two a high strength steel rod of 12.5 mm diameter so that one end can be twisted by 30o with respect of the other end, without exceeding a shear stress of 270 N/mm2 givenmodulus of rigidity G = 8 × 104 N/mm2_________________________ mCorrect answer is between '0.94,0.98'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice What should be the minimum length two a high strength steel rod of 12.5 mm diameter so that one end can be twisted by 30o with respect of the other end, without exceeding a shear stress of 270 N/mm2 givenmodulus of rigidity G = 8 × 104 N/mm2_________________________ mCorrect answer is between '0.94,0.98'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Suggested Free Tests
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