1. A 100- m steel tape is used to measure the distance of the line and found to be 1, 539.28 m long. During measurement, the tape is supported the ends under a pull of 10 kg and the observed mean temperature is 31°C. The tape is of standard temperature of 20°C and a tension of 12 kg. The cross sectional area of the tape is 0.035 sq. cm. The coefficient of linear expansion is 0.0000116/ºC and the modulus of elasticity of steel is 2.0 x 106 kg/ sq. cm. The tape weighs 1.5kg. a) Determine the total correction for temperature. b) Determine the total correction due to sag. c) What is the correct length of the line?

1. A 100- m steel tape is used to measure the distance of the line and found to be 1, 539.28 m long. During measurement, the tape is supported the ends under a pull of 10 kg and the observed mean temperature is 31°C. The tape is of standard temperature of 20°C and a tension of 12 kg. The cross sectional area of the tape is 0.035 sq. cm. The coefficient of linear expansion is 0.0000116/ºC and the modulus of elasticity of steel is 2.0 x 106 kg/ sq. cm. The tape weighs 1.5kg. a) Determine the total correction for temperature. b) Determine the total correction due to sag. c) What is the correct length of the line?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

1. A 100- m steel tape is used to measure the distance of the line and found to be 1, 539.28 m
long. During measurement, the tape is supported the ends under a pull of 10 kg and the
observed mean temperature is 31°C. The tape is of standard temperature of 20°C and a
tension of 12 kg. The cross sectional area of the tape is 0.035 sq. cm. The coefficient of linear
expansion is 0.0000116/°C and the modulus of elasticity of steel is 2.0 x 106 kg/ sq. cm.
The
tape weighs 1.5kg.
a) Determine the total correction for temperature.
b) Determine the total correction due to sag.
c) What is the correct length of the line?

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