A cantilever beam of size 230 × 400 mm has a clear span of 2.5 m and is supported on a 400 × 400 mm
column. The effective span of the cantilever is-
-
A.
2.7 m
-
B.
3.3 m
-
C.
2.615 m
-
D.
2.9 m
Correct Answer:
A. 2.7 m
Explanation:
Based on the Indian Standard IS 456:2000 for reinforced concrete, the effective span of a cantilever beam is determined by its support conditions.
For a cantilever beam supported on a column or wall, the effective span is calculated as the minimum of the following two values: - The clear span (the distance from the face of the support to the free end) plus half of the effective depth of the beam.
- The distance from the center of the support to the free end (clear span plus half the width of the support).In the given problem: - Clear span = 2.5 m
- Support width = 0.4 m
- Distance to center of support = 2.5 m + (0.4 m / 2) = 2.7 mSince the question asks for the effective span and provides 2.7 m as an option, it refers to the second condition (length to the center of the support). Therefore, the effective span is 2.7 m.
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