You are to design the concrete mix proportion for concrete foundations (single footing) in a residential project in Pampanga, with a required 28-day design strength of 5000 psi.Maximum aggregate size to be used is ¾ inch, and the allowed slump is 3-4 inches. Use conversion factor 1 yd = 3 ft.Determine the mixture proportions of water, cement, coarse aggregate, and fine aggregate in terms of Ib/y^3, as well as air content in %. Express final answers in two decimal places.Cement: Type I, Specific Gravity (SSD) = 3.15Gravel: Bulk Specific Gravity (SSD) = 2.59, Dry Rodded unit weight = 105.4 lb/ft^3. Absorption Capacity 0.89%, Surface Moisture 0.00 %River Sand: Bulk Specific Gravity (SD) = 2.61, Absorption Capacity 2.30%, Surface Moisture 0.00%. Fineness Modulus = 2.70Refer to the Table of Values in the pictures W/C ratio28-day CompressiveAENon-AEStrength (psi)0.820.7420000.680.59300040000.570.4850000.480.4060000.410.3270000.33Coarse Aggregate Content (ft/ft):Fineness ModulusМахAggregate2.42.52.62.72.82.93(in.)0.3750.500.490.480.470.460.480.440.5000.590.580.570.560.550.540.530.7500.660.650.640.630.620.610.601.0000.710.700.690.680.670.660.651.5000.750.740.730.720.710.700.692.0000.780.770.760.750.740.730.723.0000.820.810.800.790.780.770.766.0000.870.860.850.840.830.820.81 Air Content and Water Content (Ib/yd°)For Non Air Entrained Concrete:Maximum Aggregate Size (in.)Slump0.3750.50.7511.536.(in.)1 to 23503353153002752602201903 to 43853653403253002852452106 to 7410385360340315300270Air3.0%2.5%2.0%1.5%1.0%0.5%0.3%0.2%contentFor Air Entrained Concrete:Maximum Aggregate Size (in.)Slump0.3750.50.751.536(in.)1 to 23052952802702502402251803 to 43403253052952752652502006 to 7365345325310290280270AirContentMild4.5%4.0%3.5%3.0%2.5%2.0%1.5%1.0%Moderate6.0%5.5%5.0%4.5%4.5%4.0%3.5%3.0%Extreme7.5%7.0%6.0%6.0%5.5%5.0%4.5%4.0%

In concrete mix design, a mixture of ingredients is used to create the required strength and…

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Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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You are to design the concrete mix proportion for concrete foundations (single footing) in a residential project in Pampanga, with a required 28-day design strength of 5000 psi. Maximum aggregate size to be used is ¾ inch, and the allowed slump is 3-4 inches. Use conversion factor 1 yd = 3 ft. Determine the mixture proportions of water, cement, coarse aggregate, and fine aggregate in terms of Ib/y^3, as well as air content in %. Express final answers in two decimal places. Cement: Type I, Specific Gravity (SSD) = 3.15 Gravel: Bulk Specific Gravity (SSD) = 2.59, Dry Rodded unit weight = 105.4 lb/ft^3. Absorption Capacity 0.89%, Surface Moisture 0.00 % River Sand: Bulk Specific Gravity (SD) = 2.61, Absorption Capacity 2.30%, Surface Moisture 0.00%. Fineness Modulus = 2.70 Refer to the Table of Values in the pictures

W/C ratio
28-day Compressive
AE
Non-AE
Strength (psi)
0.82
0.74
2000
0.68
0.59
3000
4000
0.57
0.48
5000
0.48
0.40
6000
0.41
0.32
7000
0.33
Coarse Aggregate Content (ft/ft):
Fineness Modulus
Мах
Aggregate
2.4
2.5
2.6
2.7
2.8
2.9
3
(in.)
0.375
0.50
0.49
0.48
0.47
0.46
0.48
0.44
0.500
0.59
0.58
0.57
0.56
0.55
0.54
0.53
0.750
0.66
0.65
0.64
0.63
0.62
0.61
0.60
1.000
0.71
0.70
0.69
0.68
0.67
0.66
0.65
1.500
0.75
0.74
0.73
0.72
0.71
0.70
0.69
2.000
0.78
0.77
0.76
0.75
0.74
0.73
0.72
3.000
0.82
0.81
0.80
0.79
0.78
0.77
0.76
6.000
0.87
0.86
0.85
0.84
0.83
0.82
0.81

Air Content and Water Content (Ib/yd°)
For Non Air Entrained Concrete:
Maximum Aggregate Size (in.)
Slump
0.375
0.5
0.75
1
1.5
3
6.
(in.)
1 to 2
350
335
315
300
275
260
220
190
3 to 4
385
365
340
325
300
285
245
210
6 to 7
410
385
360
340
315
300
270
Air
3.0%
2.5%
2.0%
1.5%
1.0%
0.5%
0.3%
0.2%
content
For Air Entrained Concrete:
Maximum Aggregate Size (in.)
Slump
0.375
0.5
0.75
1.5
3
6
(in.)
1 to 2
305
295
280
270
250
240
225
180
3 to 4
340
325
305
295
275
265
250
200
6 to 7
365
345
325
310
290
280
270
Air
Content
Mild
4.5%
4.0%
3.5%
3.0%
2.5%
2.0%
1.5%
1.0%
Moderate
6.0%
5.5%
5.0%
4.5%
4.5%
4.0%
3.5%
3.0%
Extreme
7.5%
7.0%
6.0%
6.0%
5.5%
5.0%
4.5%
4.0%

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