tables for desgn mix by doe type of type of coarse compressive strengt
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Tables for Desgn mix by DOE
Type of
Type of
coarse
Compressive strengths (N/mm)
Age (days)
cement
sara
3
,
28
91
Ordinary
Portland
(OPC)
Uncrushed
of
sulphate-
Crushed
211
22
30
42
49
27
36
49
56
resisting
Portland
(SRPC)
Rapid-
hardening
Unrushed
29 37
Portland
Crushed
34
43 35
61
(RHPC)
IN/mm² 1 MN/m 1 MPa (see footnote on earlier page).
Approximate compressive strength (N/mm²) of concrete mixes made with a free-
water/cement ratio of 0.5.
Compressive strength (Nimm
10
0.4
Starting line
using data
from Table 2
0.6
Relationship between compressive strength and free-water/ cement ratio. Table 2: Approximate Free Water Contents Required to Give Various
Levels of Workability According to 1988 British Method
Slump (mm)
V-B (s)
1. Water content:
Maximum size of Type of aggregate
aggregate (mm)
Very low
0-10
> 12
Low
10-30
6-12
Medium
30-60
3-6
High
60-180
0-3
10
Uncrushed
150
180
205
225
Crushed
180
205
230
250
20
Uncrushed
135
160
180.
195
Crushed
170
190
210
225
40
Uncrushed
115
140
160
175
Crushed
155
175
190
205
2. Reduction in water content when fly ash is used:
Percentage of fly ash in cementitious
material
Reduction in water content, kg/m³
10
5
5
5
10
20
10
10
10
15
30
15
15
20
20
40
20
20
25
25
50
25
25
30
30
Figure 2: Estimated wet density for fully compacted concrete
Fresh Density of Concrete Mix - kg/m³
ib/ya³
200
250
2800
300
350
400
450
170
2700
2600
2500
2400
2300
2200-
2100L
Specific Gravity
of Aggregate:
160
29
150
Assumed for Crushed Aggregates
Assumed for Uncrushed
128
2-7
Aggregates
26
140
245
2-4
100 120 140 160 180 200, 220 240 260
/a Recommended proportions of sand according to percentage passing a 600 μm sieve. (Crown copyright)
80
70
Proportion of sand (%)
40
40
50
50
60
60
15
Slump: 0-10 mm Vebe time: > 12 s
40
09
80
30
20
100
15
Slump: 10-30 mm Vebe time: 6-12 s
40
60
80
100
15
Slump: 30-60 mm Vebe time: 3-6 s
40
60-
80
100
40
Slump: 60-180 mm Vebe time: 0-3 s
60
80
100
Maximum
aggregate
size: 10 mm
10
0.2
0.4
0.6 0.8
0.2
0.4 0.6 0.8 0.2
0.4
0.6
0.8 0.2
0.4 0.6
Free-water/cement ratio
80
60
70
60
60
Slump: 0-10 mm
Vebe time: > 12 s
50
15
40
40
40
Proportion of sand (%)
30
20
20
09
10
10
0.2 0.4
80
20
70
80
100
5
Slump: 10-30 mm Vebe time: 6-12 s
40
60
80
100-
15
Slump: 30-60 mm Vebe time: 3-6 s
40
60
80
100
0.8
15
Slump: 60-180 mm Vebe time: 0-3 s
60
80
100
Maximum
aggregate
size: 20 mm
0.6
0.8 0.2
0.4 0.6
0.8 0.2
0.4
0.6
0.8
Free-water/cement ratio
0.6 0.8
0.2 0.4
Proportion of sand (%)
30
40
40
60
60
Slump: 0-10 mm Vebe time: > 12 s
in
40
30
60
80
20
20
100
10
Slump: 10-30 mm
Vebe time: 6-12 s
40
09
80
100
Slump: 30-60 mm
Vebe time: 3-6 s
15
40
60
80
100
Slump: 60-180 mm Vebe time: 0-3 s
40
60
80
100
Maximum
aggregate
size: 40 mr
.
0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8
Free-water/cement ratio/n L7 S
1
2
3
Engineering materials
Mix design using Characteristic Strength
Concrete Mixes (Designed concrete mix)
Systematic way of materials properties and knowledge of how
they affect concrete properties to produce as economically as
possible as the required concrete with specific strength,
workability and volume.
• Nominal mix & Standard mix (BS5328).
•
Department of the environment method (DOE) of mix design-
1988.
.
•
Normal concrete, indirect tensile strength and entrained
air are included.
Relying on a specified strength, the quantity and quality of
aggregate, cement and free water is determined.
Aims & Objectives
Calculating the required amount of materials to prepare
1 m³ concrete to have:
• A slump of 30 to 60 mm,
• A characteristic 28-day compressive strength of 25 N/mm² (5% failures
permitted),
• The standard deviation of the tests is σ= 8 N/mm²,
• Ordinary Portland cement (42.5 N),
• Crushed sand of 2.7 density and 55% passing the 600μm sieve,
Crushed coarse aggregate 2.7 density and 20mm are used.
1 L7 S
4
5
6
Mix design using Characteristic Strength
Designed concrete mix DoE by determining:
1. Mean strength from characteristic strength and SD:
fc,mean
= fcu + 1.640
2. Free W/C ratio using Fig 1 & 2,
3. Water content using slump and aggregate size table 2/ Fig 3,
4. Cement content:
CC WC/(free W/C ratio)
5. Fresh concrete density by Figure 2/ Fig 4,
6. Aggregate content,
7. Sand and course content using sand proportion Fig 5,
Mix design using Characteristic Strength
Designed concrete mix DoE by determining: Example
Produce batch quantities for 1 m3 of concrete to have:
⚫ A slump of 30 to 60 mm and,
⚫ A characteristic 28-day compressive strength of 25 N/mm² (5%
failures permitted),
⚫ The standard deviation of the tests is σ= 8 N/mm²,
⚫ Ordinary Portland cement (42.5 N),
⚫ Crushed sand of 2.7 density and 55% passing the 600μm sieve and,
⚫ Crushed coarse aggregate 2.7 density and 20mm are used.
1. Mean strength from characteristic strength and σ
fc,mean = fcu + 1.64xσ = ?
25+ 1.64 x8 = 39 N/mm²
Mix design using Characteristic Strength
Designed concrete mix DoE by determining: Example
2. Free water/cement ratio using Figs 1 and 2:
(The lower between the obtained ratio and max for durability)
49
39
+
Relationship between compressive strech and free water cement i
Fig 2
Type of
Type of
course
3
91
Ordina
Portland
(OPC)
sulphate
Uncrushed
Crushed
22
30
49
56
Portland
RPO
Rapid
hardening
Unrushed
29
37
34
Portland
Crushed
M
4
61
(RHPC)
I N/mm 1 MN/m 1 MPa (see footnote on earlier page)
Approximate compressive strength (N/mm²) of concrete mixes made with a free-
water/cement ratio of 0.5.
Fig 1
W/C = 0.58
Portsmouth University, 2015
2 L7 S
7
8
Mix design using Characteristic Strength
Designed concrete mix DoE by determining: Example
3.
Water content using slump and aggregate size table 2 (Kg/m³):
Table 2: Approximate Free Water Contents Required to Give Various
Levels of Workability According to 1988 British Method
Slump (mm)
V-B (s)
1. Water content:
Maximum size of
aggregate (mm
Type of aggregate
Very low
0-10
10-30
6-12
O
High
60-180
0-3
Uncrushed
150
180
225
Crushed
180
205
250
20
Upermbed
135
160
195
rushed
210 Kg/m³
225
40
Uncrushed
Crushed
115
140
160
175
155
175
190
205
2. Reduction in water content when fly ash is used:
Percentage of fly ash in cementitious
material
5
20
10
30
15
40
20
50
25
Reduction in water content, kg/w
5
10
10
15
20
20
25
25
30
30
Fig 3
(slideshare.net, 2010)
Mix design using Characteristic Strength
Designed concrete mix DoE by determining: Example
4.
Cement content:
CC = Water content / (free W/C ratio)
CC 210/0.58 = 362 Kg/m³
5.
Fresh concrete density Kg/m³:
Relying on water content and relative density of aggregate, fresh density can
be determined.
Figure 2: Estimated wet density for fully compacted concrete
10/10³
2800200
250
300
350
2400kg/m³
2700
170
2600
2500
med for Crushed Agg
Fig 4
2300
2200
210
220 240
Water content
Mix design using Characteristic Strength
Designed concrete mix DoE by determining: Example
6.
Aggregate content = Fresh density - (cement content + water
content):
Aggregate content = 2400 - (362 + 210) = 1828 Kg/m³
Mix design using
Characteristic Strength
7. Sand and course content using sand proportion:
Recommended proportions of sand according to percentage passing a 600 μm sieve. Crown copyright)
80
Proportion of sand (%)
70
60
Slump: 0-10 mm)
50
15
1555%
40
Maximum
aggregate
40
40
40
40
size: 20 mm
60
60
60
60
80
80
80
80
100
100
20
100
100
Mix design using
Characteristic Strength
0.8
Fig 3 (Taylor, 2000)
9
36%
10.2 0.4 0.6
0.2 0.4 0.6 0.8 0.2 0.4 0.6 08 0.2 0.4 0.6 0.8
Free-water/cement ratio
0.58
3 L7 S
10
11
Mix design using Characteristic Strength
Designed concrete mix DoE by determining: Example
oporsions of sand according to percentage passing a 600 um sieve copyrigh
Mix design using Characteristic Strength
02 04 06 08 02 14 06 08 12 14 111
02 04 06 08 02 04 06 08 02 04 06 08
Free-water/cement ratio
10
80
Fig 5
02 04 06 08
02 04 06 08 02 04 06 08 02 04 06 0
Free-water/cement ratio
Mix design using Characteristic Strength
Designed concrete mix DoE by determining: Example
7.
Sand and course content using sand proportion:
From the table, sand ratio is 36%
Sand content = 0.36 x 1828 = 658 Kg/m³
Coarse content = 1828 - 658 = 1170 kg/m³
So for each m³ of concrete we need:
1170 Kg coarse, 658 Kg sand, 210 Kg water (0.58) and 362 Kg
cement
Maimun
aggregate
size 40
4/n NOTTINGHAM TRENT UNIVERSITY
Module DESN10041 Engineering Materials
Coursework brief 2023-24
School of Architecture, Design and the Built Environment
Department of Civil Engineering
Assessment Brief 2b Document
Coursework title
Concrete design assignment: Concrete mix design using DoE Concrete
BEng, MEng, DAs, BSc Civil Engineering
Course(s):
Module Code
and Name:
DESN10041 Sustainable Engineering Materials
Assessment
Number:
Submission
Format:
Individual design
Assessment Type
2b
and Weighting:
calculations. 10% of the
module.
A Pdf file to be submitted in Dropbox (in module learning
room on NOW) - No Hard Copy
Declaration:
By submitting this work, either via Dropbox or in person, I confirm that the work submitted is mine
alone and not the product of plagiarism, collusion or other academic irregularity. I confirm that this is
my final submission and that the work is to the best of my ability.
*The published submission date and time is final with zero tolerance on lateness. Work submitted
within 5 working days after the submission deadline will receive a grade capped at Low 3rd. Work
received later than this will be capped at ZERO.
Module Learning Outcomes Being Assessed:
Knowledge and understanding
• Explain how material selection and properties influences the design of civil
engineering projects.
• Use industry standard tests to analyse and determine material properties.
Skills, qualities and attributes
•
Clearly present and communicate findings from engineering materials
investigations.
Weightings for each assessment task:
1. Technical content
2. Overall presentation skills
Total
70%
30%
100% NOTTINGHAM TRENT UNIVERSITY
Module DESN10041 Engineering Materials
Coursework brief 2023-24
JBM Threads
Use the following codes to indicate where and to what extent the JBM threads are covered:
P: Primary Outcomes (which are assessed and evidenced in outputs)
C: Contributory Outcomes (which do not necessarily need to be assessed)
Design
P ☑ C
The assignment is to
design the concrete
mix.
Sustainability
P | □ | C | ☑
The concrete mix
design is the
Department of the
Environment (DoE)
method.
Health and Safety
P ☐ C ☑
The concrete should
be strong enough to
carry the required load.
Professionalism
and Ethics
P | ☐ C ☐
AHEP4 Learning Outcomes
Please include reference to the specific criteria
Science and
Mathematics
M1
Engineering
analysis
Design and
innovation
The Engineer
and Society
Engineering
Practice
M2, M3, M4,
M13
Employability
☐ > >
☑
☑
Team working
Communication skills
Self-management
☐ ☐ ☑
Creativity and reflection
Problem solving
Decision making NOTTINGHAM TRENT UNIVERSITY
Module DESN10041 Engineering Materials
Coursework brief 2023-24
Engineering Materials concrete coursework briefing sheet
Introduction
As part of the content for module DESN10041 Engineering Materials, and a
request made by the client of the project required in DESN10037. The client is
considering the environmental effect of concrete used in their project and
looking for more greener concrete. You are required to design a concrete mix
(similar to the concrete mix you did in one of your collaborative sessions) which is
going to be used in the pavement of the car park. The question was about finding
out the amount of materials required for 1 m³ of concrete based on the
Department of the Environment (DOE) method.
For this coursework assignment you are required to find out the exact amount of
materials required to obtain 1 m³ of concrete with specific characteristics.
Assignment
You are approached by a contractor who is preparing a bill of quantities (BOQ) for
a high-rise building. The contractor asks you to determine the exact amount of
components required to produce batch quantities for 1 m³ of concrete, with a
slump of 10 to 30 mm and a characteristic 28-day compressive strength of 30
N/mm² (5% failures permitted): the standard deviation of the tests is σ = 6.1
N/mm². Ordinary Portland cement (42.5 N), crushed sand of 2.6 density and 60%
passing the 600μm sieve and uncrushed coarse aggregate 2.6 density and 20mm
size are used. You are asked to use Department of the Environment method
(DOE).
Your submission should comprise of a detailed solution with appropriate graphs.
The file name should be your name, student number and concrete mix design
assignment.
Marking criteria
The assignment will be marked on technical content including the solutions and
diagrams (70%) and overall presentation (30%).
Cover sheet and a contents page are required
References
Lecture Note 7 supplement- Hardened Concrete (NOW - DESN 10041 - Content
Assessment - Briefs)
-
•
Tables for designing concrete mix (NOW - DESN 10041 - Content - Assessment - Briefs)
-
-
Students need to use what they have learnt in collaborative session 4
week 11 and 12 (19 and 20 NTU). A plenty of formative feedback was
given during these sessions as well as the recorded session on NOW
DESN10041 Content Week 12 - Materials activities. You may use the
timetabled contact hours as opportunities to get formative feedback from
the lecturers.
- NOTTINGHAM TRENT UNIVERSITY
Module DESN10041 Engineering Materials
Coursework brief 2023-24
GRADING CRITERIA AND DESCRIPTORS
Section
Technical content (i.e.,
following the brief,
accuracy & quality of
content, tables and
calculations) 70%
Overall presentation
30%
Exceptional 1st
1st
Excellent knowledge
and understanding of
the area of study. No
mistakes.
An exceptional
understanding of key
facts and design process
of the mix design of the
concrete selected. Full
detailed and explained
solution with worked
graphs. No mistakes.
High/Mid/Low
Excellent knowledge
and understanding of
the area of study. No
mistakes.
A comprehensive
understanding of key
facts and design
process of the mix
design of the
concrete selected.
Full detailed and
explained solution
with worked graphs.
Presentation of exceptional standard and includes
relevant diagrams.
Exceptional, accurate, brief, and clear without
errors.
Well-structured organisation conspicuously
exceptionally clear and appropriate with an
introduction and conclusion.
The technical content is communicated in a very
clear and concise manner with excellent
introduction and conclusion.
All graphs and tables are numbered, titled, and
referred to in the solution.
2.1
High/Mid/Low
Very good knowledge
and understanding of the
area of study with lower
accuracy. One mistake in
any parts except W/C
ratio.
A very good
understanding of key
facts and design process
of the mix design of the
concrete selected with
detailed explanation with
worked graphs. There are
some missing units.
Presentation of very good
standard and includes
relevant diagrams.
Well-structured
organisation conspicuously
clear and appropriate.
Accurate, brief and clear
without errors without
introduction or conclusion.
The technical content is
communicated in a clear
and concise manner with
very good introduction
and conclusion.
All graphs and tables are
numbered, titled, and
referred to in the solution.
Grade
2.2
High/Mid/Low
Good knowledge and
understanding of the area
of study but there are few
calculation mistakes or
wrong w/c ratio.
A reasonable
understanding of some of
key facts and design
process of the mix design
of the concrete selected.
Short explanation rather
than detailed solution
with some figures.
Presentation of a
consistently high
standard.
The work is clearly and
appropriately organised
and without irrelevance.
Accurate and clear
expression without
errors.
The technical content is
communicated in a
reasonably clear and
concise manner with
good introduction and
conclusion. Most of the
graphs and tables are
numbered, titled, and
referred to in the solution.
3rd
High/ Mid/ Low
Knowledge and
understanding are sufficient
to deal with tables,
calculations, and basic facts
and concepts but have few
calculations mistakes.
Adequate understanding of
some of key facts and
design process of the mix
design of the concrete
selected and very short
explanation rather than
detailed solution with
missing graphs.
Presentation of satisfactory
standard with only very
minor shortcomings.
A satisfactory structure is
clear. Satisfactory
expression with few errors.
The technical content is
communicated in a
reasonably clear and
concise manner, but with
some shortcomings and
either no introduction or
conclusion.
Part of the graphs and tables
are numbered, titled, and
referred to in the solution.
Marg
Insufficient knowledge
and understanding of the
area of study with several
mistakes in the
calculations and three
components' figures are
not right.
Poor understanding of
some of key facts and
design process of the mix
design of the concrete
selected and inadequate
explanation rather than
detailed solution.
Presentation that is
inconsistent or has
shortcomings.
Organisation is disjointed
and may include
repetition. Positive
qualities outweigh
deficiencies in
expression, spelling or
grammar.
The technical content is
communicated in a poor
manner with no
introduction and
conclusion.
No titles, number of
referring to graphs and
tables.
Fail
Mid/ Low
Highly insufficient
knowledge or
understanding of the area
of study with several
mistakes in the
calculations and all
components' figures are
not right.
Very Poor understanding
of the key facts and
design process of the mix
design of the concrete
selected and not
explanation.
Presentation that is
inconsistent or makes
work not easy to follow.
Organisation disjointed
with very limited
direction and with
intermittent or
unconvincing relevance.
Significant deficient in
expression, spelling or
grammar.
The technical content is
communicated in a very
poor manner with no
introduction and
conclusion. NOTTINGHAM TRENT UNIVERSITY
Module DESN10041 Engineering Materials
Coursework brief 2023-24