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 de =25 mm and the cable at C has nominal diameter dc = 30 mm. A load P acts at end D of the bar. What is the allowable load P if the Sp- B –26– 2b temperature rises by 90°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 = 150 GPa and coefficient of thermal expansion a = 12 x 10-6/°C. Other properties of the cables can be found in Table 2-1) P
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 de =25 mm and the cable at C has nominal diameter dc = 30 mm. A load P acts at end D of the bar. What is the allowable load P if the Sp- B –26– 2b temperature rises by 90°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 = 150 GPa and coefficient of thermal expansion a = 12 x 10-6/°C. Other properties of the cables can be found in Table 2-1) P
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:6. 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
de =25 mm and the cable at C has
nominal diameter dc = 30 mm. A
load P acts at end D of the bar.
What is the allowable load P if the
-dg
B
- 26
– 2b
temperature rises by 90°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 = 150
GPa and coefficient of thermal expansion a = 12 x 10-6/°C. Other properties of the
cables can be found in Table 2-1)
P
TABLE 2-1 PROPERTIES OF STEEL CABLES*
Nominal
diameter
Effective
Approximate
weight
Ultimate
load
area
(mm)
(N/m)
(mm²)
(kN)
12
6.1
76.7
102
13.9
231
406
20
173
25
24.4
304
32
38.5
481
641
38
55.9
697
930
44
76.4
948
1260
50
99.8
1230
1650
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