A concrete mix for a concrete beam exposed to mild climate is to be designed according to the ACI Absolute Volume Method. A non-air-entrained concrete is to be used. The specified 28- day compressive strength (fe) is 4,400 psi. The standard of deviation of the compressive strength of the concrete is known to be 350 psi. The specified slump of the fresh concrete is 3 to 4 inches. The cement used will be a Type I cement. Use the following properties of the aggregates: Dry Bulk Specific Gravity Absorption Natural Moisture Content Dry-Rodded Unit Weight Nominal Maximum Aggregate Size Fineness Modulus Coarse Agg. 2.36 4.1% 2.1% 90 pcf 3/4 inch Fine Agg. 2.60 0.4% 0.1% 2.4 Please show your calculation steps clearly. Please give a mix summary showing the weights of all the individual mix ingredients per cubic yard of concrete. Please also show the unit weight of the designed concrete. Please type out your solution and submit it as a MS Word or pdf file through the Assignments section of the Canvas webpage for CGN 3501C.
A concrete mix for a concrete beam exposed to mild climate is to be designed according to the ACI Absolute Volume Method. A non-air-entrained concrete is to be used. The specified 28- day compressive strength (fe) is 4,400 psi. The standard of deviation of the compressive strength of the concrete is known to be 350 psi. The specified slump of the fresh concrete is 3 to 4 inches. The cement used will be a Type I cement. Use the following properties of the aggregates: Dry Bulk Specific Gravity Absorption Natural Moisture Content Dry-Rodded Unit Weight Nominal Maximum Aggregate Size Fineness Modulus Coarse Agg. 2.36 4.1% 2.1% 90 pcf 3/4 inch Fine Agg. 2.60 0.4% 0.1% 2.4 Please show your calculation steps clearly. Please give a mix summary showing the weights of all the individual mix ingredients per cubic yard of concrete. Please also show the unit weight of the designed concrete. Please type out your solution and submit it as a MS Word or pdf file through the Assignments section of the Canvas webpage for CGN 3501C.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A concrete mix for a concrete beam exposed to mild climate is to be designed according to the
ACI Absolute Volume Method. A non-air-entrained concrete is to be used. The specified 28-
day compressive strength (f'c) is 4,400 psi. The standard of deviation of the compressive
strength of the concrete is known to be 350 psi. The specified slump of the fresh concrete is 3 to
4 inches. The cement used will be a Type I cement. Use the following properties of the
aggregates:
Dry Bulk Specific Gravity
Absorption
Natural Moisture Content
Dry-Rodded Unit Weight
Nominal Maximum Aggregate Size
Fineness Modulus
Coarse Agg.
2.36
4.1%
2.1%
90 pcf
3/4 inch
Fine Agg.
2.60
0.4%
0.1%
2.4
Please show your calculation steps clearly. Please give a mix summary showing the weights
of all the individual mix ingredients per cubic yard of concrete. Please also show the unit
weight of the designed concrete. Please type out your solution and submit it as a MS Word
or pdf file through the Assignments section of the Canvas webpage for CGN 3501C.
Expert Solution
Step 1
Answer
Mix proportioning using ACI absolute volume method.
Step (1) Calculate Required average compressive strength
Required average compressive strength is larger of below fcr' when f'c < 5000psi
1) fcr' = f'c+1.34*S
f'c = 4400psi
S = standard deviation
S = 350 psi
Now fcr' = 4400 + 1.34*350
fcr' = 4869 psi
2) fcr' = f'c+2.33S-500
fcr' = 4400 + 2.33*350-500
fcr' = 4715.5 psi
larger of above 2 is fcr' = 4869 psi
Required average compressive strength = 4869 psi
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