16. A cantiever beam of length, L with uniform crossection and flexural rigidity, EI is loaded uniformly by a vertical load, w per unit length. The maximum vertical deflection of the beam is given by

1. 1. wL4
      8EI

   
   
   

   2. wL4
      16EI

   
   
   

   3. wL4
      4EI

   
   
   

   4. wL4
      24EI

   
   
   

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1. View Hint View Answer Discuss in Forum

   
   

   δmax =	1	× L ×	WI²	×	3	L
   	3		2EI		4

   
   

   δmax =	WI4
   	8EI

   Correct Option: A

   
   

   δmax =	1	× L ×	WI²	×	3	L
   	3		2EI		4

   
   

   δmax =	WI4
   	8EI

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17. A cantilever beam with flexural rigidity of 200 Nm² is loaded as shown in the figure. The deflection (in mm) at the tip of the beam is ____.
    

1. 1. 3.29 mm

   
   
   

   2. 2.2 mm

   
   
   

   3. 1.28 mm

   
   
   

   4. 0.2604 mm

   
   
   

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   Deflection = Deflection at load + Slope × Distance
   

   ⇒	W1³	+	W1³	× 0.5
   	3EI		2EI

   
   W = 500
   1 = .05
   EI = 200
   δ = 0.2604 mm

   Correct Option: D

   Deflection = Deflection at load + Slope × Distance
   

   ⇒	W1³	+	W1³	× 0.5
   	3EI		2EI

   
   W = 500
   1 = .05
   EI = 200
   δ = 0.2604 mm

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