6. An L-shaped reinforced concrete slab 3.6 m x 3.6 m (but with a 1.8 m X 1.8 m cutout) and thickness t 230 mm, is lifted by three cables attached at O, B and D. as shown in the figure. The cables are combined at point Q, which is 2.1 m above the top of the slab and directly above the center of mass at C. Each cable has an effective cross-sectional area of Ae = 77 mm?. (a) Find the tensile force T; (i = 1, 2, 3) in each cable due to the weight W of the concrete slab (ignore weight of cables). (b) Find the average stress o; in each cable. (See Table H-1 in Appendix H for the weight density of reinforced concrete.) F Coordinates of D in m (1.5, 1.5, 2.1) T3 D (1.5, 3.6, 0) T1 T2 С (1.5, 1.5) 0)
6. An L-shaped reinforced concrete slab 3.6 m x 3.6 m (but with a 1.8 m X 1.8 m cutout) and thickness t 230 mm, is lifted by three cables attached at O, B and D. as shown in the figure. The cables are combined at point Q, which is 2.1 m above the top of the slab and directly above the center of mass at C. Each cable has an effective cross-sectional area of Ae = 77 mm?. (a) Find the tensile force T; (i = 1, 2, 3) in each cable due to the weight W of the concrete slab (ignore weight of cables). (b) Find the average stress o; in each cable. (See Table H-1 in Appendix H for the weight density of reinforced concrete.) F Coordinates of D in m (1.5, 1.5, 2.1) T3 D (1.5, 3.6, 0) T1 T2 С (1.5, 1.5) 0)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![6. An L-shaped reinforced concrete slab 3.6 m x 3.6 m (but with a 1.8 m x 1.8 m cutout) and thickness
1 = 230 mm, is lifted by three cables attached at O, B and D. as shown in the figure. The cables are combined at
point Q, which is 2.1 m above the top of the slab and directly above the center of mass at C. Each cable has an
effective cross-sectional area of A. = 77 mm?.
(a) Find the tensile force T; (i = 1, 2, 3) in each cable due to the weight W of the concrete slab (ignore weight of
cables).
(b) Find the average stress o; in each cable. (See Table H-1 in Appendix H for the weight density of
reinforced concrete.)
F
Coordinates of D in m
(1.5, 1.5, 2.1)
T3
D (1.5, 3.6, 0)
T1
T2
С (1.5, 1.5] 0).
y
1.8 m
(0, 0, 0)
- 1.8 m-
-1.8 m
B (3.6, 0, 0)
kN
Concrete slab y= 24
m3
Thickness t, c.g at (1.5 m, 1.5 m, 0)
PROB. 6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92a22be9-7da1-40d5-8b1b-a5abb83f7105%2F7de9b971-e080-4bc6-a00e-62ba929f91ac%2Fkgnqgso_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. An L-shaped reinforced concrete slab 3.6 m x 3.6 m (but with a 1.8 m x 1.8 m cutout) and thickness
1 = 230 mm, is lifted by three cables attached at O, B and D. as shown in the figure. The cables are combined at
point Q, which is 2.1 m above the top of the slab and directly above the center of mass at C. Each cable has an
effective cross-sectional area of A. = 77 mm?.
(a) Find the tensile force T; (i = 1, 2, 3) in each cable due to the weight W of the concrete slab (ignore weight of
cables).
(b) Find the average stress o; in each cable. (See Table H-1 in Appendix H for the weight density of
reinforced concrete.)
F
Coordinates of D in m
(1.5, 1.5, 2.1)
T3
D (1.5, 3.6, 0)
T1
T2
С (1.5, 1.5] 0).
y
1.8 m
(0, 0, 0)
- 1.8 m-
-1.8 m
B (3.6, 0, 0)
kN
Concrete slab y= 24
m3
Thickness t, c.g at (1.5 m, 1.5 m, 0)
PROB. 6
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