A simply supported beam carrying a concentrated load W at mid-span deflects by \[{{\delta }_{1}}\] under the lode. If the same beam carries the load W such that it is distributed uniformly over entire length and undergoes a deflection \[{{\delta }_{2}}\] at the mid span. The ratio, \[{{\delta }_{1}}:{{\delta }_{2}}\] is:

• A. 2 : 1
• B. \[\sqrt{2}:1\]
• C. 1.6 : 1
• D. 0.0430555555555556