Three bars each made of different materials are connected together and placed between two walls when the temperature i, the temperature becomes T, bar are given in the figure. .Determine the force exerted on the rigid supports when . The material properties and cross-sectional area of each Steel Copper E- 120 GPa a - 12(10-)/"C a = 21(10-")/C acu= 17(10)/"C Au - 515 mm? Brass E - 200 GPa E - 100 GPa Take : T, = 12 °C °C |Au = 200 mm² Au = 450 mm² T - 13 295 A mm 200 mm h00 mm Solution : (++)0 = 6, -6

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
Problem 6.75P: The end of a water hose weighing 0.5 lb/ft is pulled with a 40-lb force that is inclined at 14 to...
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Question 2(b) :
Three bars each made of different materials are connected together and placed betweet two
walls when the temperature is
the temperature becomes T,
bar are given in the figure.
.Determine the force exerted on the rigid supports when
. The material properties and cross-sectional area of epch
Steel
Brass
Сорper
E = 200 GPa
Epr = 100 GPa
Eu = 120 GPa
as = 12(10-")/C a = 21(10-)/PC acu= 17(10-6)/°C
Acu = 515 mm?
Take :
I =
12
°C
I, =
|A = 200 mm2 Ar = 450 mm?
13
°C
A =
295
A mm
200 mm
"h00 mm
Solution :
(++)0 = 6, - 8,
0 =
1 (12)(10*).4+
1 (21)(10-")(0.2)+ 1 (17)(10-)(0.1)...
AF
0.2F
0.1F
200(10 200(10°) 450(10- 100(10°) 515(10 120(10°)
F =
Transcribed Image Text:Question 2(b) : Three bars each made of different materials are connected together and placed betweet two walls when the temperature is the temperature becomes T, bar are given in the figure. .Determine the force exerted on the rigid supports when . The material properties and cross-sectional area of epch Steel Brass Сорper E = 200 GPa Epr = 100 GPa Eu = 120 GPa as = 12(10-")/C a = 21(10-)/PC acu= 17(10-6)/°C Acu = 515 mm? Take : I = 12 °C I, = |A = 200 mm2 Ar = 450 mm? 13 °C A = 295 A mm 200 mm "h00 mm Solution : (++)0 = 6, - 8, 0 = 1 (12)(10*).4+ 1 (21)(10-")(0.2)+ 1 (17)(10-)(0.1)... AF 0.2F 0.1F 200(10 200(10°) 450(10- 100(10°) 515(10 120(10°) F =
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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