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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 when 7, and the tension or pull on the tape is AA N. Determine the true length of the line if the tape shows the reading to be BB cm when used with a pull of CC N at T, e ground on which it is placed is flat. Take: T₁ = 55 °C P P T₂ = °C AA = 20 N 2 cm BB= 463.2 cm CC= 35 N 0.5 cm a = 1200)/°C E- 200 G Pa 8, -aDTL= PL AE Jcm Ans Solution: 85 L= 463.2 cm cm + 11

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 when 7, and the tension or pull on the tape is AA N. Determine the true length of the line if the tape shows the reading to be BB cm when used with a pull of CC N at T, e ground on which it is placed is flat. Take: T₁ = 55 °C P P T₂ = °C AA = 20 N 2 cm BB= 463.2 cm CC= 35 N 0.5 cm a = 1200)/°C E- 200 G Pa 8, -aDTL= PL AE Jcm Ans Solution: 85 L= 463.2 cm cm + 11

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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1 Question 2(a): 2 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 when 7, and the tension or pull 3 4 on the tape is AA N. Determine the true length of the line if the tape shows the reading to be 5 BB cm when used with a pull of CC N at Te ground on which it is placed is flat. 6 7 Take: 8 °C T₁ = 55 P P 9 T₂ 85 °C = 10 AA = 20 N 2 cm 11 BB = 463.2 cm 12 CC= 35 N 0.5 cm 13 12010)/°C 14 = 200 G Pa 15 16 17 Solution: 18 cm 19 20 cm 21 22 L= 463.2 + cm Ans 23 24 Question 2(b): 25 Three bars each made of different materials are connected together and placed between two 26 walls when the temperature is T. Determine the force exerted on the rigid supports when 27 the temperature becomes T . The material properties and cross-sectional area of each 28 bar are given in the figure. Steel Brass 29 E 200 GPa 30 Take: Ebr 12(10-)/°C abr 100 GPa 21(106)/C Copper Eu = 120 GPa cu = 17(10)/C Acu - 515 mm² 31 °C 12 T₁ = 450 mm² 32 13 A₁ = 200 mm² Abr T₂ = 33 295 A = 34 A mm. -200 mm 100 mm 35 Solution: 36 (+)0 = 6₂ -6, 37 0= 1 (12)(10) A+ 1 (21)(10)(0.2)+ 1(17) (10)(0.1)... 38 AF 0.2F 0.1F 39 200(10)2001) 450 (10100(10) 51510 120 (10) 40 N 41 42 43 44 45 46 47 48 δ =α ΔTL= PL AE °C mm 11
Transcribed Image Text:1 Question 2(a): 2 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 when 7, and the tension or pull 3 4 on the tape is AA N. Determine the true length of the line if the tape shows the reading to be 5 BB cm when used with a pull of CC N at Te ground on which it is placed is flat. 6 7 Take: 8 °C T₁ = 55 P P 9 T₂ 85 °C = 10 AA = 20 N 2 cm 11 BB = 463.2 cm 12 CC= 35 N 0.5 cm 13 12010)/°C 14 = 200 G Pa 15 16 17 Solution: 18 cm 19 20 cm 21 22 L= 463.2 + cm Ans 23 24 Question 2(b): 25 Three bars each made of different materials are connected together and placed between two 26 walls when the temperature is T. Determine the force exerted on the rigid supports when 27 the temperature becomes T . The material properties and cross-sectional area of each 28 bar are given in the figure. Steel Brass 29 E 200 GPa 30 Take: Ebr 12(10-)/°C abr 100 GPa 21(106)/C Copper Eu = 120 GPa cu = 17(10)/C Acu - 515 mm² 31 °C 12 T₁ = 450 mm² 32 13 A₁ = 200 mm² Abr T₂ = 33 295 A = 34 A mm. -200 mm 100 mm 35 Solution: 36 (+)0 = 6₂ -6, 37 0= 1 (12)(10) A+ 1 (21)(10)(0.2)+ 1(17) (10)(0.1)... 38 AF 0.2F 0.1F 39 200(10)2001) 450 (10100(10) 51510 120 (10) 40 N 41 42 43 44 45 46 47 48 δ =α ΔTL= PL AE °C mm 11
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