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 =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 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 = 12 x 10–6/°C. Other properties of the cables can be found in Table 2-1)
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 =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 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 = 12 x 10–6/°C. Other properties of the cables can be found in Table 2-1)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
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 =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
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 = 12 x 10–6/°C. Other properties of the
cables can be found in Table 2-1)
Transcribed Image Text:TABLE 2-1 PROPERTIES OF STEEL CABLES
Nominal
Effective
Approximate
welght
Ultimate
diameter
area
load
(mm)
(N/m)
(mm²)
(kN)
12
6.1
76.7
102
231
20
13.9
173
25
244
304
406
32
38.5
481
641
38
55.9
76.4
697
948
930
1260
44
50
998
1230
1650
Transcribed Image Text:于t
Pp-
B
- 26 -
– 2 -
P
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