-66 Bar B of the pin-connected system of Fig. P5-66 is made of an aluminum alloy [E = 70 GPa, A = 300 mm², and a = 22.5 (10yC), and bar A is made of a hardened carbon steel [E = 210 GPa, A = 1200 mm², and a = 11.9 (10-ºy"C). Bar CDE is to be considered rigid. When the system is unloaded at 40 C, bars A and B are unstressed. After the load P is applied, the temperature of both bars decreases to 15°C. Determine a. The normal stresses in bars A and B. b. The maximum shearing stresses in bars A and B. c. The shearing stress in the 20-mm-diameter pin at C, which is in double shear. d. The vertical component of the displacement of pin E. B 500 mm A 250 mm 300 mm 150 mm P-100 kN
-66 Bar B of the pin-connected system of Fig. P5-66 is made of an aluminum alloy [E = 70 GPa, A = 300 mm², and a = 22.5 (10yC), and bar A is made of a hardened carbon steel [E = 210 GPa, A = 1200 mm², and a = 11.9 (10-ºy"C). Bar CDE is to be considered rigid. When the system is unloaded at 40 C, bars A and B are unstressed. After the load P is applied, the temperature of both bars decreases to 15°C. Determine a. The normal stresses in bars A and B. b. The maximum shearing stresses in bars A and B. c. The shearing stress in the 20-mm-diameter pin at C, which is in double shear. d. The vertical component of the displacement of pin E. B 500 mm A 250 mm 300 mm 150 mm P-100 kN
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Bar B Of The Pin-connected System Of Fig. P5-66 Is Made Of An Aluminum Alloy [E = 70 GPa, A = 300 Mm^2, And Alpha = 22.5 (10^-6)/degree C]. And Bar A Is Made Of A Hardened Carbon Steel[E = 210 GPa, A = 1200 mm^2, And Alpha = 11.9 (10^-6/degree C]. Bar CDE Is To Be Considered Rigid. When The System Is Unloaded At 40 Degree C, Bars A And B Are Unstressed.
![5-66 Bar B of the pin-connected system of Fig. P5-66 is made
of an aluminum alloy [E = 70 GPa, A = 300 mm², and a =
22.5 (10 y C), and bar 4 is made of a hardened carbon steel
[E =210 GPa, A = 1200 mm², and a = 11.9 (10-°)/"C). Bar
CDE is to be considered rigid. When the system is unloaded at
40°C, bars A and B are unstressed. After the load P is applied,
the temperature of both bars decreases to 15°C. Determine
a. The normal stresses in bars A and B.
b. The maximum shearing stresses in bars A and B.
c. The shearing stress in the 20-mm-diameter pin at C, which
is in double shear.
d. The vertical component of the displacement of pin E.
500 mm
250 mm
300 mm
150 mm
P 100 kN
Figure P5-66](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27f4127d-b622-4384-a78e-4fb509999605%2Fa2da09b1-f62c-4953-b294-fb7a18cac7f7%2Ft2009l_processed.png&w=3840&q=75)
Transcribed Image Text:5-66 Bar B of the pin-connected system of Fig. P5-66 is made
of an aluminum alloy [E = 70 GPa, A = 300 mm², and a =
22.5 (10 y C), and bar 4 is made of a hardened carbon steel
[E =210 GPa, A = 1200 mm², and a = 11.9 (10-°)/"C). Bar
CDE is to be considered rigid. When the system is unloaded at
40°C, bars A and B are unstressed. After the load P is applied,
the temperature of both bars decreases to 15°C. Determine
a. The normal stresses in bars A and B.
b. The maximum shearing stresses in bars A and B.
c. The shearing stress in the 20-mm-diameter pin at C, which
is in double shear.
d. The vertical component of the displacement of pin E.
500 mm
250 mm
300 mm
150 mm
P 100 kN
Figure P5-66
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