Answer:
hello your question has some missing values below are the missing values
Mirror Radius (mm) Bending Failure Stress (MPa)
.603 225
.203 368
.162 442
answer : 191 mPa
Explanation:
<u>Determine the stress present at the time of fracture for the original plate</u>
Bending stress ∝ 1 / ( mirror radius )^n ------ ( 1 )
at 0.603 bending stress = 225
at 0.203 bending stress = 368
at 0.162 bending stress = 442
<u>applying equation 1 determine the value of n for several combinations</u>
( 225 / 368 ) = ( 0.203 / 0.603 )^n
hence : n = 0.452
also
( 368/442 ) = ( 0.162 / 0.203 ) ^n
hence : n = 0.821
also
( 225 / 442 ) = ( 0.162 / 0.603 ) ^n
hence : n = 0.514
Next determine the average value of n
n ( mean value ) = ( 0.452 + 0.821 + 0.514 ) / 3 = 0.596
Calculate estimated stress present at the time of fracture for the original plate
= bending stress at x = 0.796 / bending stress at x = 0.603
= x / 225 = ( 0.603 / 0.796 ) ^ 0.596
therefore X ( stress present at the time of fracture of original plate )
= 225 * 0.84747
<em>= 191 mPa </em>
