Strength of concrete: The compressive strength, in kilopascals,
was measured for concrete blocks from five different batches of
concrete, both three and six after pouring. The data are as
follows. Can you conclude that the mean strength after three days
is less than the mean strength after six days? Let U1 represent the
mean strength after three days and ud=u1-u2, Use the a=0.01 level
and the critical value method with the table.
1. State the appropriate null and alternate hypotheses....
Strength of concrete: The compressive strength, in kilopascals,
was measure for concrete blocks from five different batches of
concrete, both three and six days after pouring. The data are as
follows:
Block
1
2
3
4
5
After 3 days
1341
1316
1352
1355
1327
After 6 days
1376
1373
1366
1384
1358
Can you conclude that the mean
strength after three days differs from the mean strength after six
days? Use the α = 0.05 level of significance.
State...
(a) In terms of relative strength, put fcd (design
strength of concrete), fck
(characteristic strength of concrete) and fcm (mean strength
of
concrete) in order from lowest to highest strength. (3)
(b) Approximately, what is the tensile strength of concrete as
a
percentage of its compressive strength? (1)
(c) Draw and name all necessary reinforcement for the simply
supported
beam and static loading case shown at Figure 3a. (6)
(d) Recreate the table in Figure 3b in your script books...
You work for a construction firm who need to be able to accurately predict the compressive strength of concrete given variables including the concrete composition and its age. You are aware that the relationship between these different components and the concrete strength is complex, however you have been asked to investigate how well a simple linear regression model works for prediction. Using the provided data (Concrete_Data.xls), develop models to predict:
Concrete strength from the single best indicator variable;
Concrete...
A civil engineer is analyzing the compressive strength of
concrete. Compressive strength is approximately Normally
distributed with variance ? 2 = 1000 psi2 . A random sample of ? =
12 specimens has a mean compressive strength of ?̅= 3179.5 psi. Let
? be the true mean compressive strength of all specimens from this
type of concrete. (a) Test ?0: ? = 3200 against ??: ? < 3200 at
? = 0.05. Give the rejection region. (b) If the true...
The compressive strength of concrete is normally distributed
with ? = 2500 psi and ? = 50 psi. Find the probability that a
random sample of n = 10 specimens will have a sample mean diameter
that falls in the interval from 2499 psi to 2610 psi.
A three phase engine has an usable power of 90 kW and an
efficiency of 91%. The rating plate indicates the following
values:
- 90 kW
- Power factor: 0.89 (i)
- Voltage (volts): 230 delta - 400 wye
Taking as a reference of line voltages V1=V∠90º; direct sequence
and a phase oltage of the supply network of 230 V, find:
a) The phasors of the line and phase voltages of the supply
network
b) The true, reactive and apparent...