SSC Exam  >  SSC Questions  >  Long and short spans of a two-way slab are ly... Start Learning for Free
Long and short spans of a two-way slab are ly and lx and load on the slab acting on strips parallel to lx and ly be wx and wy respectively. According to Rankine Grashoff theory
  • a)
    Wx/Wy = Iy/Ix
  • b)
    Wx/Wy = (Iy/Ix)2
  • c)
    Wx/Wy = (Iy/Ix)3
  • d)
    Wx/Wy = (Iy/Ix)4
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Long and short spans of a two-way slab are lyand lxand load on the sla...
Rankine Grashoff theory is a mathematical formula used to calculate the load distribution on a two-way slab. The formula expresses the relationship between the loads acting on strips parallel to the short and long spans of the slab and the moments of inertia of the slab in those directions.

Formula: Wx/Wy= (Iy/Ix)^4

Explanation:

- Long and short spans of a two-way slab are denoted as lx and ly respectively.
- Load on the slab acting on strips parallel to lx and ly are wx and wy respectively.
- Ix and Iy are the moments of inertia of the slab in the x and y direction respectively.
- The formula for Rankine Grashoff theory is Wx/Wy= (Iy/Ix)^4, where Wx/Wy is the ratio of loads acting on strips parallel to lx and ly.

Interpretation:

- The formula implies that the load distribution on a two-way slab is directly proportional to the fourth power of the ratio of the moments of inertia in the two directions.
- The moment of inertia is a measure of the resistance of a body to rotational motion. A higher moment of inertia implies that the body is harder to rotate.
- Therefore, the formula suggests that the load distribution on a two-way slab is affected by the resistance of the slab to rotation in the two directions.
- The fourth power relationship between the load ratio and the moment of inertia ratio implies that even a small difference in the moments of inertia can lead to a significant difference in the load distribution.

Conclusion:

Rankine Grashoff theory is a fundamental formula used in the design of two-way slabs. The formula expresses the relationship between the load distribution and the moments of inertia of the slab in the two directions. The formula implies that the load distribution is affected by the resistance of the slab to rotational motion, and a small difference in the moments of inertia can lead to a significant difference in the load distribution.
Explore Courses for SSC exam
Long and short spans of a two-way slab are lyand lxand load on the slab acting on strips parallel to lxand lybe wxand wyrespectively. According to Rankine Grashoff theorya)Wx/Wy= Iy/Ixb)Wx/Wy= (Iy/Ix)2c)Wx/Wy= (Iy/Ix)3d)Wx/Wy= (Iy/Ix)4Correct answer is option 'D'. Can you explain this answer?
Question Description
Long and short spans of a two-way slab are lyand lxand load on the slab acting on strips parallel to lxand lybe wxand wyrespectively. According to Rankine Grashoff theorya)Wx/Wy= Iy/Ixb)Wx/Wy= (Iy/Ix)2c)Wx/Wy= (Iy/Ix)3d)Wx/Wy= (Iy/Ix)4Correct answer is option 'D'. Can you explain this answer? for SSC 2025 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Long and short spans of a two-way slab are lyand lxand load on the slab acting on strips parallel to lxand lybe wxand wyrespectively. According to Rankine Grashoff theorya)Wx/Wy= Iy/Ixb)Wx/Wy= (Iy/Ix)2c)Wx/Wy= (Iy/Ix)3d)Wx/Wy= (Iy/Ix)4Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Long and short spans of a two-way slab are lyand lxand load on the slab acting on strips parallel to lxand lybe wxand wyrespectively. According to Rankine Grashoff theorya)Wx/Wy= Iy/Ixb)Wx/Wy= (Iy/Ix)2c)Wx/Wy= (Iy/Ix)3d)Wx/Wy= (Iy/Ix)4Correct answer is option 'D'. Can you explain this answer?.
Solutions for Long and short spans of a two-way slab are lyand lxand load on the slab acting on strips parallel to lxand lybe wxand wyrespectively. According to Rankine Grashoff theorya)Wx/Wy= Iy/Ixb)Wx/Wy= (Iy/Ix)2c)Wx/Wy= (Iy/Ix)3d)Wx/Wy= (Iy/Ix)4Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC. Download more important topics, notes, lectures and mock test series for SSC Exam by signing up for free.
Here you can find the meaning of Long and short spans of a two-way slab are lyand lxand load on the slab acting on strips parallel to lxand lybe wxand wyrespectively. According to Rankine Grashoff theorya)Wx/Wy= Iy/Ixb)Wx/Wy= (Iy/Ix)2c)Wx/Wy= (Iy/Ix)3d)Wx/Wy= (Iy/Ix)4Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Long and short spans of a two-way slab are lyand lxand load on the slab acting on strips parallel to lxand lybe wxand wyrespectively. According to Rankine Grashoff theorya)Wx/Wy= Iy/Ixb)Wx/Wy= (Iy/Ix)2c)Wx/Wy= (Iy/Ix)3d)Wx/Wy= (Iy/Ix)4Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Long and short spans of a two-way slab are lyand lxand load on the slab acting on strips parallel to lxand lybe wxand wyrespectively. According to Rankine Grashoff theorya)Wx/Wy= Iy/Ixb)Wx/Wy= (Iy/Ix)2c)Wx/Wy= (Iy/Ix)3d)Wx/Wy= (Iy/Ix)4Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Long and short spans of a two-way slab are lyand lxand load on the slab acting on strips parallel to lxand lybe wxand wyrespectively. According to Rankine Grashoff theorya)Wx/Wy= Iy/Ixb)Wx/Wy= (Iy/Ix)2c)Wx/Wy= (Iy/Ix)3d)Wx/Wy= (Iy/Ix)4Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Long and short spans of a two-way slab are lyand lxand load on the slab acting on strips parallel to lxand lybe wxand wyrespectively. According to Rankine Grashoff theorya)Wx/Wy= Iy/Ixb)Wx/Wy= (Iy/Ix)2c)Wx/Wy= (Iy/Ix)3d)Wx/Wy= (Iy/Ix)4Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice SSC tests.
Explore Courses for SSC exam
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev