The elastic limit of brass is 379 MPa. What should be the minimum diameter of a brass rod if it is to support a 400 N load without exceeding its elastic limit ?

Question

The elastic limit of brass is 379 MPa. What should be the minimum diameter of a brass rod if it is to support a 400 N load without exceeding its elastic limit ? (A) 1.16 mm (B) 0.90 mm (C) 1.36 mm (D) 1.00 mm

Tardigrade Admin · Accepted Answer

(F/A) = textstress (400 ×4/π d2) = 379 ×106 d2 = (1600/π ×379 ×106) = 1.34 ×10-6 d = √1.34 ×10-3 = 1.15 ×10-3 m

Q. The elastic limit of brass is $379 MP a$ . What should be the minimum diameter of a brass rod if it is to support a $400 N$ load without exceeding its elastic limit ?

$1.16 mm$

$0.90 mm$

$1.36 mm$

$1.00 mm$

$\frac{F}{A} = stress$
$\frac{400 \times 4}{π d ^{2}} = 379 \times 1 0^{6}$
$d^{2} = \frac{1600}{π \times 379 \times 1 0 ^{6}} = 1.34 \times 1 0^{- 6}$
$d = 1.34 \times 1 0^{- 3} = 1.15 \times 1 0^{- 3} m$

Q. The elastic limit of brass is 379MPa. What should be the minimum diameter of a brass rod if it is to support a 400N load without exceeding its elastic limit ?

1.16mm

0.90mm

1.36mm

1.00mm