Question

Example 2.23. A steel tape was exactly 30 m long at 18°C when
supported throughout its length under a pull of 8 kg. A line was
measured with a tape under a pull of 12 kg and found to be 1602 m.
The mean temperature during the measurement was 26°C. Assuming
the tape to supported at every 30 m, Calculate the true length of the
line, given that cross-sectional area of the tape 0.04 cm², the weight
of 1.cu. сm is 0.0077 kg, the co-efficient of expansion = 0.000012 per
1°C
and the modulus of elasticity = 2.1 x 106 kg/cm².​

Answer 1

Answer:

steel tape was exactly 30 m long at 18°C when

supported throughout its length under a pull of 8 kg. A line was

measured with a tape under a pull of 12 kg and found to be 1602 m.

The mean temperature during the measurement was 26°C. Assuming

the tape to supported at every 30 m, Calculate the true length of the

line, given that cross-sectional area of the tape 0.04 cm², the weight

of 1.cu. сm is 0.0077 kg, the co-efficient of expansion = 0.000012 per

1°C

and the modulus of elasticity = 2.1 x 106 kg/cm².