Answer & Solution
Answer: Option
B
Solution:
To understand the correct answer, let's analyze each statement:
i) Shear force at mid span is zero
In a ring beam subjected to a uniformly distributed load, the ring beam is typically supported at its ends (near the supports). Due to the symmetry and equilibrium of forces, the shear force at the mid-span (middle portion between supports) is often zero.
ii) Shear force at mid span is maximum
This statement is generally incorrect for a ring beam under uniformly distributed load. The maximum shear force usually occurs near the supports, not at the mid-span.
iii) Torsion at mid span is zero
Torsion (or twisting) in a ring beam subjected to a uniformly distributed load is typically not zero at the mid-span. It can vary depending on the loading conditions and the configuration of the beam.
iv) Torsion at mid span is maximum
In a ring beam, the maximum torsion often occurs at the mid-span, where the beam is subjected to maximum bending moments and shear forces due to the distributed load acting over the entire span.
Conclusion:
Based on the typical behavior of a ring beam subjected to uniformly distributed load:
Shear force at mid span is zero (i) is correct.
Torsion at mid span is maximum (iv) is correct.
Therefore, Option B: (i) and (iv) is the correct answer.
