Engineering
16.02.2021 01:22
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In the case of failure, a solar energy is used to light a bulb (25 W), run a fan

In the case of failure, a solar energy is used to light a bulb (25 W), run a fan (75 W) and heat an electric iron (200 W) for 10 minutes. In this process, the work done and heat supplied by the solar energy are
In the case of failure, a solar energy is used to light a bulb (25 W), run a fan (75 W) and heat an
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kingswriters3250
kingswriters3250
4,7(99 marks)

1.5510 mm

Explanation:

Plane strain fracture toughness = 45 MPa√m

failing stress ( б ) = 300 MPa

maximum length of surface crack ( a )= 0.95 mm

Determine maximum allowable surface crack length ( in mm )

we will make use of this relationship for  Design stress equation to determine the value of Y

б = \frac{k}{y\sqrt{\pi *a} }    --------- ( 1 )

k = 45 MPa√m

б  = 300 MPa

a = 0.95 mm

y = ?

From equation 1 make Y subject of the equation ( also substitute values into equation 1 above )

hence ; y = 2.7457

Now determine maximum allowable surface crack when component is exposed to a stress of 300 MPa and made from another alloy with plane-strain fracture toughness of 57.5 MPa√m

we will apply the equation

б = \frac{k}{y\sqrt{\pi *a} }    --------- ( 2 )

K = 57.5 MPa√m

б = 300 MPa

y = 2.7457

a ( maximum allowable surface crack ) = ?

from equation make a subject of the equation

a = \frac{1}{\pi } (\frac{k}{\alpha y} )^{2}  

a = \frac{1}{\pi } (\frac{57.5}{300*2.7457} )^2  =   1.5510 mm

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