A rigid bar ABCD is pinned at end A and supported by two cables at points B and C (see figure). The cable at B has nominal diameter dB =12 mm and the cable at C has nominal diameter dC = 20 mm. A load P acts at end D of the bar. What is the allowable load P if the temperature rises by 60°C and each cable is required to have a factor of safety of at least 5 against its ultimate load? Note: The cables have effective modulus of elasticity E= 140 GPa and coefficient of thermal expansion = 12 x 10-6/°C. The ultimate tensile load for bars B and C are 102 kN and 231 kN, respectively. -dc dB A 2b B + 2b Figure No. 2
A rigid bar ABCD is pinned at end A and supported by two cables at points B and C (see figure). The cable at B has nominal diameter dB =12 mm and the cable at C has nominal diameter dC = 20 mm. A load P acts at end D of the bar. What is the allowable load P if the temperature rises by 60°C and each cable is required to have a factor of safety of at least 5 against its ultimate load? Note: The cables have effective modulus of elasticity E= 140 GPa and coefficient of thermal expansion = 12 x 10-6/°C. The ultimate tensile load for bars B and C are 102 kN and 231 kN, respectively. -dc dB A 2b B + 2b Figure No. 2
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Please help and explain thanks!
![A rigid bar ABCD is pinned at end A and supported by two cables at points B and C (see
figure). The cable at B has nominal diameter dB =12 mm and the cable at C has nominal diameter dC =
20 mm. A load P acts at end D of the bar. What is the allowable load P if the temperature rises by 60°C
and each cable is required to have a factor of safety of at least 5 against its ultimate load?
Note: The cables have effective modulus of elasticity E= 140 GPa and coefficient of thermal expansion
= 12 x 10-6/°C. The ultimate tensile load for bars B and C are 102 kN and 231 kN, respectively.
-do
dB
A
2b
B
+
2b
Figure No. 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb57aba27-3f7c-42bb-946c-0c83a47e9496%2F543ea885-e841-4dfa-b6f3-1721c97f192e%2Fypicz8h3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A rigid bar ABCD is pinned at end A and supported by two cables at points B and C (see
figure). The cable at B has nominal diameter dB =12 mm and the cable at C has nominal diameter dC =
20 mm. A load P acts at end D of the bar. What is the allowable load P if the temperature rises by 60°C
and each cable is required to have a factor of safety of at least 5 against its ultimate load?
Note: The cables have effective modulus of elasticity E= 140 GPa and coefficient of thermal expansion
= 12 x 10-6/°C. The ultimate tensile load for bars B and C are 102 kN and 231 kN, respectively.
-do
dB
A
2b
B
+
2b
Figure No. 2
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