Limiting Depth of Neutral Axis

Q. The maximum depth of neutral axis for a beam with 'd' as the effective depth, in limit state method of design for Fe 415 steel is

1. 0.46d
2. 0.48d
3. 0.50d
4. 0.53d

Q. If modular ratio is 'm', effective depth is D and stress ratio is 'r' $(r=\frac{{\sigma }_{st}}{{\sigma }_{cbc}}),$ the depth of neutral axis of a balanced section is

1. $\left(\frac{m}{m-r}\right)\times D$
2. $\left(\frac{m}{m+r}\right)\times D$
3. $\left(\frac{m+r}{m}\right)\times D$
4. $\left(\frac{m}{r}\right)\times D$