What is A = Asector - Atriangle? Where did they get that?

Principles of Foundation Engineering (MindTap Course List)
8th Edition
ISBN:9781305081550
Author:Braja M. Das
Publisher:Braja M. Das
Chapter7: Settlement Of Shallow Foundations
Section: Chapter Questions
Problem 7.2P: A planned flexible load area (see Figure P7.2) is to be 3 m × 4.6 m and carries a uniformly...
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What is A = Asector - Atriangle? Where did they get that?
FLUID MECH
CHAPTER EIGHT
Open Channel
FLU
GHYDRAN
510
A = 2 r? (0-sin 0) = 0.03125 (0- sin 0)
Tre
0.25 0
180°
180°
From Eq. (1)
0.03125(0 -sin
sin a)/.
180
= 0.00125
0.25 780 0
(0-sin of/2
180°
= 0.03159
Solve for 0 by trial and error:
0 = 140.46°
Then;
cos (6/2) = (0.25 - d)/0.25
cos (140.46/2)(0.25) = 0.25 - d
d 0.1654 m
Problem 8-13 (CE Board November 1988)
on one
over
large
Solution
fi
Transcribed Image Text:FLUID MECH CHAPTER EIGHT Open Channel FLU GHYDRAN 510 A = 2 r? (0-sin 0) = 0.03125 (0- sin 0) Tre 0.25 0 180° 180° From Eq. (1) 0.03125(0 -sin sin a)/. 180 = 0.00125 0.25 780 0 (0-sin of/2 180° = 0.03159 Solve for 0 by trial and error: 0 = 140.46° Then; cos (6/2) = (0.25 - d)/0.25 cos (140.46/2)(0.25) = 0.25 - d d 0.1654 m Problem 8-13 (CE Board November 1988) on one over large Solution fi
d 1.59 m
d = 5.22 feet
Problem 8-12
e00-mm-diameter concrete pipe is laid on a slope of 1 m per 500 m and is
Solution
IQ = A !
R2/351/2]
0.04 = A x ds R2/3 (/2
500
AR2/3 = 0.011627
A(A/P)2/3 = 0.001627
A5/3/P2/3 = 0.001627
A5/2/P 0.00125
%3D
raise both sides to 3/2
> Eq. (1)
%3D
0.5 m
0.25 d
r 0.25 m
0,25 m
From the figure:
A= Agector-Ariangle
A =
360°
- 2 12 sin 0
Transcribed Image Text:d 1.59 m d = 5.22 feet Problem 8-12 e00-mm-diameter concrete pipe is laid on a slope of 1 m per 500 m and is Solution IQ = A ! R2/351/2] 0.04 = A x ds R2/3 (/2 500 AR2/3 = 0.011627 A(A/P)2/3 = 0.001627 A5/3/P2/3 = 0.001627 A5/2/P 0.00125 %3D raise both sides to 3/2 > Eq. (1) %3D 0.5 m 0.25 d r 0.25 m 0,25 m From the figure: A= Agector-Ariangle A = 360° - 2 12 sin 0
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