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Using the following data for n unreinforced Portland Cement Concrete pool deck: Design strength f'c= 28 MPa Slab thickness= 300 mm Standard deviation of f'c obtained from 20 tests=1.4 MPa Freezing and thawing but not exposed to chlorides Use air entrained concrete Fineness modulus of fine aggregate%=D2.6 Maximum aggregate size=50 mm and nominal maximum aggregate size=37.5 mm Bulk oven-dry specific gravity of coarse aggregate=2.6 Oven-dry rodded density of coarse aggregate=2002 kg/m3 Type I cement, relative density3D3.1

Using the following data for n unreinforced Portland Cement Concrete pool deck: Design strength f'c= 28 MPa Slab thickness= 300 mm Standard deviation of f'c obtained from 20 tests=1.4 MPa Freezing and thawing but not exposed to chlorides Use air entrained concrete Fineness modulus of fine aggregate%=D2.6 Maximum aggregate size=50 mm and nominal maximum aggregate size=37.5 mm Bulk oven-dry specific gravity of coarse aggregate=2.6 Oven-dry rodded density of coarse aggregate=2002 kg/m3 Type I cement, relative density3D3.1

Structural Analysis
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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Using the following data for n unreinforced Portland Cement Concrete pool deck: Design strength f'c= 28 MPa Slab thickness= 300 mm Standard deviation of f'c obtained from 20 tests=1.4 MPa Freezing and thawing but not exposed to chlorides Use air entrained concrete Fineness modulus of fine aggregate%3D2.6 Maximum aggregate size350 mm and nominal maximum aggregate size=37.5 mm Bulk oven-dry specific gravity of coarse aggregate=2.6 Oven-dry rodded density of coarse aggregate=2002 kg/m³ Type I cement, relative density3D3.1 Find the following: a) Required compressive strength b) w/c ratio c) Coarse aggregate amount (kg/m³) d) If the w/c ratio is 10% reduced, will the quantity of coarse aggregate increase, decrease or remain the same? Explain your answer.
Transcribed Image Text:Using the following data for n unreinforced Portland Cement Concrete pool deck: Design strength f'c= 28 MPa Slab thickness= 300 mm Standard deviation of f'c obtained from 20 tests=1.4 MPa Freezing and thawing but not exposed to chlorides Use air entrained concrete Fineness modulus of fine aggregate%3D2.6 Maximum aggregate size350 mm and nominal maximum aggregate size=37.5 mm Bulk oven-dry specific gravity of coarse aggregate=2.6 Oven-dry rodded density of coarse aggregate=2002 kg/m³ Type I cement, relative density3D3.1 Find the following: a) Required compressive strength b) w/c ratio c) Coarse aggregate amount (kg/m³) d) If the w/c ratio is 10% reduced, will the quantity of coarse aggregate increase, decrease or remain the same? Explain your answer.
Expert Solution
Step 1

(a)

The formula to calculate the compressive strength is given by,

fm=fc+1.65σ              ...1

Here, fm is required compressive strength, fc is design strength, and σ is standrad deviation.

Substitute all the values in the equation (1).

fm=28+1.65×1.4=30.31 MPa

Therefore, the required compressive strength is 30.31 MPa.

(b)

The water-cement ratio for air-entrained cement with compressive strength 28 MPa is 0.48.

Therefore, the water-cement ratio is 0.48.

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