A steel surveyor's tape is to be used to measure the length of a line. The tape has a redtangular section of 2 cm by 0.5 cm and a length of 100 cm wher7, and the tension or pull on the tape is AA N. Determine the true length of the line if the tape shows the readingito be BB cm when used with a pull of CC N at T, .The ground on which it is placed is flat.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter6: Beams And Cables
Section: Chapter Questions
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Question 2(a) :
A steel surveyor's tape is to be used to measure the length of a line. The tape has a rectangular
section of 2 cm by 0.5 cm and a length of 100 cm wherT, and the tension or pull
on the tape is AA N. Determine the true length of the line if the tape shows the readingito be
BB cm when used with a pull of CC N at I, The ground on which it is placed is flat.
Take:
I, =
55
°C
P
85
°C
AA =
20
N
2 cm
BB =
463.2
CC =
35
N
0.5 cm
12(10-“)/°C
E,- 200 GPa
Solution :
δ,-α ΔΤL =
cm
PL
AE
cm
Рage 1
L =
463.2
cm
Ans
Transcribed Image Text:Question 2(a) : A steel surveyor's tape is to be used to measure the length of a line. The tape has a rectangular section of 2 cm by 0.5 cm and a length of 100 cm wherT, and the tension or pull on the tape is AA N. Determine the true length of the line if the tape shows the readingito be BB cm when used with a pull of CC N at I, The ground on which it is placed is flat. Take: I, = 55 °C P 85 °C AA = 20 N 2 cm BB = 463.2 CC = 35 N 0.5 cm 12(10-“)/°C E,- 200 GPa Solution : δ,-α ΔΤL = cm PL AE cm Рage 1 L = 463.2 cm Ans
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