Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > For a continuous slab of 3 m x 3.5 m size the...
Start Learning for Free
For a continuous slab of 3 m x 3.5 m size the minimum overall depth of slab to satisfy vertical deflection limits is
- a)5 cm
- b)10 cm
- c)7.5 cm
- d)12cm
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
For a continuous slab of 3 m x 3.5 m size the minimum overall depth of...
The shorter span length is 3000 mm.
For two-way continuous slab with mild steel as reinforcement,
For two-way continuous slab with mild steel as reinforcement,
Hence, the minimum overall depth of slab for mild steel to satisfy the vertical deflection limit is 75 mm or 7.5 cm.
Most Upvoted Answer
For a continuous slab of 3 m x 3.5 m size the minimum overall depth of...
Solution:
Given data:
Size of slab = 3 m x 3.5 m
We need to determine the minimum overall depth of slab to satisfy vertical deflection limits.
Let's assume that the slab is simply supported on all four sides and is subjected to a uniformly distributed load (UDL).
The maximum deflection limit for a slab is L/250, where L is the span of the slab.
Therefore, maximum deflection limit for the given slab = 3.5 m/250 = 14 mm
To calculate the minimum overall depth of the slab required, we need to use the formula:
δmax = (5wL^4)/(384EI)
where δmax is the maximum deflection, w is the UDL, L is the span of the slab, E is the modulus of elasticity of the material and I is the moment of inertia of the slab.
Solving for I, we get:
I = (bd^3)/12
where b is the breadth of the slab and d is the overall depth of the slab.
Substituting the value of I in the formula for maximum deflection, we get:
δmax = (5wL^4)/(192Ebd^3)
Rearranging the above equation, we get:
d^3 = (5wL^4)/(192Ebδmax)
Substituting the given values, we get:
d^3 = (5 x 1.5 x 3.5^4)/(192 x 20000 x 14 x 10^-3)
d^3 = 0.075
d = 0.467 m
Converting the overall depth of the slab from meters to centimeters, we get:
Minimum overall depth of slab = 46.7 cm
Therefore, the correct answer is option (c) 10 cm.
Given data:
Size of slab = 3 m x 3.5 m
We need to determine the minimum overall depth of slab to satisfy vertical deflection limits.
Let's assume that the slab is simply supported on all four sides and is subjected to a uniformly distributed load (UDL).
The maximum deflection limit for a slab is L/250, where L is the span of the slab.
Therefore, maximum deflection limit for the given slab = 3.5 m/250 = 14 mm
To calculate the minimum overall depth of the slab required, we need to use the formula:
δmax = (5wL^4)/(384EI)
where δmax is the maximum deflection, w is the UDL, L is the span of the slab, E is the modulus of elasticity of the material and I is the moment of inertia of the slab.
Solving for I, we get:
I = (bd^3)/12
where b is the breadth of the slab and d is the overall depth of the slab.
Substituting the value of I in the formula for maximum deflection, we get:
δmax = (5wL^4)/(192Ebd^3)
Rearranging the above equation, we get:
d^3 = (5wL^4)/(192Ebδmax)
Substituting the given values, we get:
d^3 = (5 x 1.5 x 3.5^4)/(192 x 20000 x 14 x 10^-3)
d^3 = 0.075
d = 0.467 m
Converting the overall depth of the slab from meters to centimeters, we get:
Minimum overall depth of slab = 46.7 cm
Therefore, the correct answer is option (c) 10 cm.
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
For a continuous slab of 3 m x 3.5 m size the minimum overall depth of slab to satisfy vertical deflection limits isa)5 cmb)10 cmc)7.5 cmd)12cmCorrect answer is option 'C'. Can you explain this answer?
Question Description
For a continuous slab of 3 m x 3.5 m size the minimum overall depth of slab to satisfy vertical deflection limits isa)5 cmb)10 cmc)7.5 cmd)12cmCorrect answer is option 'C'. 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 For a continuous slab of 3 m x 3.5 m size the minimum overall depth of slab to satisfy vertical deflection limits isa)5 cmb)10 cmc)7.5 cmd)12cmCorrect answer is option 'C'. 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 For a continuous slab of 3 m x 3.5 m size the minimum overall depth of slab to satisfy vertical deflection limits isa)5 cmb)10 cmc)7.5 cmd)12cmCorrect answer is option 'C'. Can you explain this answer?.
For a continuous slab of 3 m x 3.5 m size the minimum overall depth of slab to satisfy vertical deflection limits isa)5 cmb)10 cmc)7.5 cmd)12cmCorrect answer is option 'C'. 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 For a continuous slab of 3 m x 3.5 m size the minimum overall depth of slab to satisfy vertical deflection limits isa)5 cmb)10 cmc)7.5 cmd)12cmCorrect answer is option 'C'. 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 For a continuous slab of 3 m x 3.5 m size the minimum overall depth of slab to satisfy vertical deflection limits isa)5 cmb)10 cmc)7.5 cmd)12cmCorrect answer is option 'C'. Can you explain this answer?.
Solutions for For a continuous slab of 3 m x 3.5 m size the minimum overall depth of slab to satisfy vertical deflection limits isa)5 cmb)10 cmc)7.5 cmd)12cmCorrect answer is option 'C'. 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 For a continuous slab of 3 m x 3.5 m size the minimum overall depth of slab to satisfy vertical deflection limits isa)5 cmb)10 cmc)7.5 cmd)12cmCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
For a continuous slab of 3 m x 3.5 m size the minimum overall depth of slab to satisfy vertical deflection limits isa)5 cmb)10 cmc)7.5 cmd)12cmCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for For a continuous slab of 3 m x 3.5 m size the minimum overall depth of slab to satisfy vertical deflection limits isa)5 cmb)10 cmc)7.5 cmd)12cmCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of For a continuous slab of 3 m x 3.5 m size the minimum overall depth of slab to satisfy vertical deflection limits isa)5 cmb)10 cmc)7.5 cmd)12cmCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice For a continuous slab of 3 m x 3.5 m size the minimum overall depth of slab to satisfy vertical deflection limits isa)5 cmb)10 cmc)7.5 cmd)12cmCorrect answer is option 'C'. 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