(b) A uniform concrete slab of weight, W (kN) is to be attached to two cables which lower ends are on the same level as illustrated in Figure 2. Cables I and II is made from different materials and it has been labelled as Material I and Material II, respectively. Both cables are supported by pins at the ends as illustrated in Detail A. A part of each cable has been subjected to tensile test to determine the properties of each cable. Table 1 shows the important data obtained from the test result. i) Compute the ratio of the area of rod BE to the rod CF, so that the slab would remain on the same level. ii) Determine the required weight, W (kN) of the slab that can be applied if the vertical movement for each rod is limited to 5 mm. Using the answer in (i), assume the cross-sectional area for Cable I is 500 mm?. iii) Calculate the force in each cable by using the answer in (ii). Note: Show ALL the assumptions and diagrams.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Table 1
Material
I
II
Important Points
Stress
Strain
Stress
Strain
(mm/mm)
0.000
(mm/mm)
0.000
(МРа)
(MPa)
Initial
Elastic limit
210
0.003
200
0.001
Ultimate strength
Breakage
305
0.005
540
0.025
190
0.021
355
0.040
Transcribed Image Text:Table 1 Material I II Important Points Stress Strain Stress Strain (mm/mm) 0.000 (mm/mm) 0.000 (МРа) (MPa) Initial Elastic limit 210 0.003 200 0.001 Ultimate strength Breakage 305 0.005 540 0.025 190 0.021 355 0.040
(b) A uniform concrete slab of weight, W (kN) is to be attached to two cables which lower
ends are on the same level as illustrated in Figure 2. Cables I and II is made from different
materials and it has been labelled as Material I and Material II, respectively. Both cables
are supported by pins at the ends as illustrated in Detail A. A part of each cable has been
subjected to tensile test to determine the properties of each cable. Table 1 shows the
important data obtained from the test result.
i)
Compute the ratio of the area of rod BE to the rod CF, so that the slab would remain
on the same level.
ii) Determine the required weight, W (kN) of the slab that can be applied if the vertical
movement for each rod is limited to 5 mm. Using the answer in (i), assume the
cross-sectional area for Cable I is 500 mm².
iii) Calculate the force in each cable by using the answer in (ii).
Note: Show ALL the assumptions and diagrams.
F
E
Cable II
L= 1.8 m
Cable I
L = 1.2 m
Detail A
1 m
k
1.8 m
0.3 m
A
B
C D
Figure 2
Transcribed Image Text:(b) A uniform concrete slab of weight, W (kN) is to be attached to two cables which lower ends are on the same level as illustrated in Figure 2. Cables I and II is made from different materials and it has been labelled as Material I and Material II, respectively. Both cables are supported by pins at the ends as illustrated in Detail A. A part of each cable has been subjected to tensile test to determine the properties of each cable. Table 1 shows the important data obtained from the test result. i) Compute the ratio of the area of rod BE to the rod CF, so that the slab would remain on the same level. ii) Determine the required weight, W (kN) of the slab that can be applied if the vertical movement for each rod is limited to 5 mm. Using the answer in (i), assume the cross-sectional area for Cable I is 500 mm². iii) Calculate the force in each cable by using the answer in (ii). Note: Show ALL the assumptions and diagrams. F E Cable II L= 1.8 m Cable I L = 1.2 m Detail A 1 m k 1.8 m 0.3 m A B C D Figure 2
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