A simply supported beam with width 'b' and depth ?d? carries a central load Wand undergoes deflection 8 at the centre. If the width and depth are interchanged the deflection at the centre of the beam would attain the value:

• A. \[\frac{d}{b}\delta \]
• B. \[{{\left( \frac{d}{b} \right)}^{2}}\delta \]
• C. \[{{\left( \frac{d}{b} \right)}^{3}}\delta \]
• D. \[{{\left( \frac{d}{b} \right)}^{3/2}}\delta \]