A circular mild steel storage bin of 8 m height contains wheat having bulk density of 800 kg·m⁻³. The coefficient of static friction between wheat grain and bin wall is 0.40 and hydraulic radius of the bin is 1 m. Equivalent diameter of the bin, in m, is
Options:
(A) 4
(B) 8
(C) 1
(D) 2
Official Answer Key:
A
Step-by-Step Solution & Explanation
The hydraulic radius R used in Janssen’s bin-pressure theory is defined as the ratio of cross-sectional area to the perimeter of the bin:
R = A/P
For a circular bin of diameter D:
R = (πD²/4)/(πD) = D/4
Therefore:
D = 4R = 4 × 1 = 4 m
Note: the bin height, bulk density and coefficient of friction are Janssen-equation inputs and are redundant for this particular question.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.