Determine modulus of resilience, Mechanical Engineering

Determine modulus of resilience:

A steel specimen of 10 mm diameter & 50 mm gauge length was tested in tension and following observations were recorded.

Load at upper yield point = 20600 N

 Load at lower yield point = 19650 N

Maximum load = 35550 N

Gauge length after fracture = 62.43 N

Determine modulus of resilience and modulus of toughness. Also compute % elongation. E = 210 × 103  N/mm2 .

Solution

Area of cross-section of specimen,

A0  = (π/4 ) d 2

A 0 = (π /4 )(10) 2  = 78.57 mm2

∴          Yield strength,

σ Y = 19650 /78.57 = 250 N/mm2

Ultimate tensile strength, σ u  = 35550 /78.57 = 452.5 N/mm2

            Strain at fracture or % elongation =ε f = 62.43 - 50 = 0.25 or 25%

∴          Modulus of resilience  =

2383_Determine modulus of resilience.png

=          (250)2  /2 × 210 × 103 N-mm/mm3

= 148.8 × 10- 3  N-mm/mm3

 

(i)                  (Compare with Example 1 to note that for higher yield strength modulus of resilience is larger).

Modulus of toughness =       (su  +sY /2)   ε f

                                      = (452.5 + 250 /2 )× 0.25 N-mm/mm3

                                     = 87.8 N-mm/mm3

% elongation = 25%

Posted Date: 1/23/2013 2:39:42 AM | Location : United States







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