Principles Of Geotechnical Engineering, Si Edition
9th Edition
ISBN: 9781305970953
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 8, Problem 8.3P
To determine
Find the seepage loss in
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Example 5.2: Design Example of a Square Foundation for a Colum
Figure A.3a shows a square column foundation with the followin
conditions:
Live load=L=675 kN
Dead load D= 1125 kN
Allowable gross soil-bearing capacity 145 kN/m²
Column size-0.5 m x 0.5 m
-20.68 MN/m²
1,413.7 MN/m²
Let it be required to design the column foundation.
1.25m-D
L-675 AN
D-1125 AN
(a)
Column section-
05 m x 0.5m
Example 5.3: Design Example of a Rectangular Foundation for
Column
This section describes the design of a rectangular foundation to support a column having
dimensions of 0.4 m x 0.4 m in cross section. Other details are as follows:
Dead load D= 290 kN
Live load L= 110 kN
Depth from the ground surface to the top of the foundation = 1.2 m
Allowable gross soil-bearing capacity = 120 kN/m²
Maximum width of foundation = B = 1.5 m
f, = 413.7 MN/m²
f=20.68 MN/m²
Unit weight of soil = y = 17.27 kN/m³
Unit weight of concrete = y₁ = 22.97 kN/m³
General Considerations
For this design, let us assume a foundation thickness of 0.45 m (Figure A.4a). The weight
of foundation/m² = 0.45 y = (0.45) (22.97) = 10.34 kN/m², and the weight of soil above
the foundation/m² = (1.2)y = (1.2) (17.27) = 20.72 kN/m² Hence, the net allowable soil-
bearing capacity Iqata] =120-10.34-20.72 = 88.94 kN/m²
The required area of the foundation = (D+L)/4(all) = (290 + 110)/88.94 =
4.5 m². Hence, the length of the foundation…
Problem 1
You are in the process of designing a water supply system for the whole lligan City, and
the design life of your system is to end in the year 2070. The population in the town has
been measured every 10 years since 1980 by the Philippine Statistics Authority, and the
reported populations are tabulated below. Estimate the population in the town using (a)
arithmetic growth projection, (b) geometric growth projection (exponential formula), (c)
declining growth projection (assuming a saturation concentration of 480,000 people), and
(d) logistic curve projection.
Year
Population
1980
167,358
1990
226,568
2000
285,061
2010
322,821
2020
342,618
Chapter 8 Solutions
Principles Of Geotechnical Engineering, Si Edition
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- A frame is loaded by a force Q = 280 N and supported by pins at points B and C as shown below. The distances are given as a = 0.4 m, b = 0.8 m, c = 0.6 m, d = 2.6 m, and e = 1.5 m. b C с d a A B Q D e Determine the reactions at joints B and C. Report all answers in units of N with 2 decimal places of precision. Positive signs indicate that a force component acts in the positive axis direction (i.e. up or right), while a negative sign should be used to indicate a force component acting in a negative axis direction (i.e. down or left). The x-component of the reaction force at joint B, Bx = NⓇ The y-component of the reaction force at joint B, By = NⓇ NⓇ The x-component of the reaction force at joint C, Cx = The y-component of the reaction force at joint C, C₁ = N Numberarrow_forwardD Ø A vertical pole supports a horizontal cable CD and is supported by a ball-and-socket joint at A as shown in the figure below. Cable CD is parallel to the x-z plane (which implies that a vector from C to D has no y-component) and is oriented at an angle = 20° from the x-y plane. The distances are given as h = 10 m, b = 6 m, a = 9 m, and d = 4 m. y a b B The magnitude of the tension force in cable BE, TBE = KN ® F® Determine the following forces for this system if there is a 15 kN tension carried in cable CD. Report all answers in units of kN with 1 decimal place of precision. For the components of the reaction at A, be sure to use a positive or negative sign to indicate the direction of the force (negative signs if the force acts in the negative axial direction). The magnitude of the tension force in cable BF, TBF = KN The x-component of the reaction at joint A, Ax The y-component of the reaction at joint A, A, ®®® The z-component of the reaction at joint A, Az = = KN = KN KNarrow_forward(10 points) Problem 4. Suppose only through traffic is allowed on an intersection approach, and traffic arrive at a constant rate of 400 veh/h. Their effective green time is set to 15 seconds. Cycle length is 60 seconds. Estimate the average delay for that approach. Use a saturation flow rate of 1750 veh/h; D/D/1 queuing. Centenniam ad) of gy dov yasm wof ni emilarrow_forward
- A vertical pole supports a horizontal cable CD and is supported by a ball-and-socket joint at A as shown in the figure below. Cable CD is parallel to the x-z plane (which implies that a vector from C to D has no y-component) and is oriented at an angle = 20° from the x-y plane. The distances are given as h = 10 m, b = 6 m, a = 9 m, and d = 4 m. D C a B Determine the following forces for this system if there is a 15 kN tension carried in cable CD. Report all answers in units of kN with 1 decimal place of precision. For the components of the reaction at A, be sure to use a positive or negative sign to indicate the direction of the force (negative signs if the force acts in the negative axial direction). The magnitude of the tension force in cable BE, TBE = KN ☑ The magnitude of the tension force in cable BF, TBF = KN The x-component of the reaction at joint A, Ax = ☑ KN The y-component of the reaction at joint A, A, = KN The z-component of the reaction at joint A, Az = KN ☑arrow_forwardA vertical pole supports a horizontal cable CD and is supported by a ball-and-socket joint at A as shown in the figure below. Cable CD is parallel to the x-z plane (which implies that a vector from C to D has no y-component) and is oriented at an angle : = 20° from the x-y plane. The distances are given as h = 10 m, b = 6 m, a = 9 m, and d = 4 m. D C a B x Determine the following forces for this system if there is a 15 kN tension carried in cable CD. Report all answers in units of kN with 1 decimal place of precision. For the components of the reaction at A, be sure to use a positive or negative sign to indicate the direction of the force (negative signs if the force acts in the negative axial direction). The magnitude of the tension force in cable BE, TBE = 4.1 KN The magnitude of the tension force in cable BF, TBF = 41.1 KN The x-component of the reaction at joint A, Ax = 309.C KN ®®®® F The y-component of the reaction at joint A, Ay = -216. KN The z-component of the reaction at…arrow_forwardA small barrel weighing 400 N is lifted by a pair of tongs as shown. Knowing that h = 200 mm, L₁ = 400 mm, L2 = 120 mm and L3 = 200 mm, determine the magnitude of the forces exerted on member ABD of this machine structure. C L2 A P L1 L3 B D Report your answers in units of N with 2 decimal places of precision. N. The magnitude of the force acting at joint B = The magnitude of the force acting at joint D = N.arrow_forward
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