A cylindrical specimen of this alloy having a length of 63 mm must elongate only 0.11 mm when a tensile load of 53,500 N is applied. Under t

Question

A cylindrical specimen of this alloy having a length of 63 mm must elongate only 0.11 mm when a tensile load of 53,500 N is applied. Under these circumstances, what is the radius of the specimen (in mm)?

in progress 0
Thiên Hương 2 months 2021-08-29T19:38:08+00:00 1 Answers 15 views 0

Answers ( )

    0
    2021-08-29T19:39:52+00:00

    Answer:

    10.66mm

    Explanation:

    Given that the elongation is \bigtriangleup l=0.11mm and Length,l=63mm and Tensile Strength,F=53500, The longitudinal stress can be calculated as:

    \epsilon=\frac{\bigtriangleup l}{l}=0.11/63=1.746\times10^-^3

    The value of strain-stress,\sigma=150MPa corresponding to 1.746\times10^-^3

    \sigma=\frac{F}{A_o}\\150=\frac{53500}{\pi r_o^2}\\\\r_o=10.66mm

    Hence, the radius of the specimen is 10.66mm

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )