आर्थिक वर्ष २०७९।०८० को जिल्ला दररेट कायम गरिएको बारे
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District Rate 2078/079 Kathmandu(आर्थिक वर्ष २०७९।०८०को जिल्ला दररेट काठमाडौँ )
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District Rate 2078/079 Kathmandu(आर्थिक वर्ष २०७९।०८०को जिल्ला दररेट काठमाडौँ )
A five
story reinforce concrete building is to be designed as MRFS and is located in
Kathmandu having very soft soil. Determine the seismic base shear according to NBC105:2077
L.L=3kN/m2
Floor Finish= 1kN/m2 Roof Live load=1.5kN/m2 importance
factor =1.25 M25 concrete Fe500 steel
Slab
Thickness: 125 mm Beam: 300*450 Column: 450*450 Story Height =3.2m
Solution:
Calculation
of Total DL and LL
Weight
of Slab: 5*20*12*0.125*25
=3750kN
Weight
of beam= (20*4+12*5)*5*0.3*0.45*25
=2362.5kN
Weight
of Column=0.45*0.45*20*(3.2-0.45)*5*25
=1392.1875kN
Floor
Finish =20*12*5*1
=1200kN
Live
load =20*12*3*4
=2880kN
Roof
Live Load =1.5*20*12
=360kN
Total
Dead load = weight of (Slab + beam + column+ floor Finish)
=3750+2362.5+1392.1875+1200
=8704.6875kN
Total
Live Load = 2880+360
=3240kN
Seismic
weight
The seismic weight at each level, Wi
shall be taken as the sum of the dead loads and the factored seismic live loads
between the mid-heights of adjacent stories.
The seismic live load is taken as 0.3LL
Floor |
Column(kN) |
Beam(kN) |
Slab(kN) |
Floor
Finish(kN) |
Live
Load(kN) |
Seismic
Weight(DL+0.3LL) |
1floor |
278.4375 |
472.5 |
750 |
240 |
720 |
1965.9375 |
2nd
Floor |
278.4375 |
472.5 |
750 |
240 |
720 |
1965.9375 |
3rd
Floor |
278.4375 |
472.5 |
750 |
240 |
720 |
1965.9375 |
4th
Floor |
278.4375 |
472.5 |
750 |
240 |
720 |
1965.9375 |
Top
Level |
139.21875 |
472.5 |
750 |
240 |
0 |
1601.7185 |
Sum= |
=9465.4685kN |
Seismic Weight =9465.4685kN
The approximate fundamental period of vibration, T1,
in seconds is determined from following empirical equation
T1 = kt *H
¾
=0.075*160.75
=0.6sec
The
approximate fundamental time period calculated using empirical equation shall
be increased by a factor of 1.25.
T=1.25*0.6
=0.75sec
For Kathmandu Very Soft Soil (Type D soil)
Z=0.35 Importance Factor I=1.25
For T=0.75 and D Type soil the
The Spectral Shape Factor Ch(T)=2.25
Elastic Site Spectra for horizontal loading is given
by C(T)=Ch(t)*Z*I
=2.25*0.35*1.25
=0.984375
Reinforced Concrete Moment Resisting
Frame
Ductility Factor(Rμ)=
4 Over strength Factor Ultimate limit State(Ωu)=
1.5
For
the ultimate limit state, the horizontal base shear co-efficient shall as given
by:
Cd(𝑇𝑖)=C(𝑇𝑖)/Rμ x Ωu
=0.9843/4*1.5
=0.1640
Base Shear Force= base shear
co-efficient*seismic Weight
=0.1640*9465.4685kN
V=1552.34kN
VERTICAL
DISTRIBUTION OF SEISMIC FORCES
The
lateral seismic force (Fi) induced at each level ‘i’ shall be calculated as:
Fi=(Wihik/ΣWihik
)x V
K=1.125 for 0.75 Sec
Floor |
Height
|
Weight |
Wi*hi1.125 |
Seismic
Force |
Shear
Force |
Top
Level |
16 |
1601.7185 |
36242.75 |
472.6468 |
472.6468 |
4th
Floor |
12.8 |
1965.9375 |
34608.35 |
451.3324 |
923.9792 |
3rd
Floor |
9.6 |
1965.9375 |
25039.45 |
326.543 |
1250.522 |
2nd
Floor |
6.4 |
1965.9375 |
15868 |
206.9368 |
1457.459 |
1st
Floor |
3.2 |
1965.9375 |
7275.51 |
94.88095 |
1552.34 |
|
Sum=119034.1 |
|
Sieve analysis of coarse and fine grained soil
Objective and Scope:
The objective of the experiment to determine the grain size distribution of
coarse grain soil by sieving.
Material and
equipment
·
Balance
accurate to 1gm
·
Set
of is sieves
·
Thermostatically
controlled oven
·
Water
tight trays
·
Mechanical
sieve shaker
·
Riffler
Theory:
In order to classify a soil for engineering purpose, one needs to knows the
distributions of the size of grains in soil sample. Sieve analysis is a method
to determine the grain size distribution of soils. Sieves are made of woven
wires with square openings.
The soil is sieved through the set of sieve. The material is retained on
the different sieve is determined. The percentage of material retained in sieve
is given by
Where, Mn=Mass
of soil retained on sieve “
M=Total Mass of soil sample
The results of the
mechanical analysis are plotted to get a particle size distribution curve with
the percentage finer N as the ordinate and the particle diameter as the
abscissa, the dia1neter being plotted on a logarithmic scale. Figure shows some
typical curves for various soils. A particle size distribution curve gives us
an idea about the type and gradation of the soil. A curve situated higher up or
to the left represents a relatively fine grained soil while a curve situated to
the right represents a coarse grained soil.
A soil sample may be
either well graded or poorly graded (uniformly graded). A soil is said to be
well graded when it has good representation of particles of all sizes. On the
other hand, a soil is said to be poorly graded if it has an excess of certain
particles and deficiency of other, or if it has 1nost of the particles of about
the sa1ne size; in the latter case it is known as a uniformly graded soil.
Thus, soil A (Fig) is well graded while soil B is uniformly graded. A curve
with a flat portion represents a soil in which some intermediate size particles
are 1nissing (soil E in Fig.). Such a soil is known as gap graded or skip
graded.
For coarse grained soil, certain particle
sizes such as D10 D30 and D60 are important.
The D10 represents a size, in mm such that 10% of the particle les
are finer than this size. Similarly, the soil particle less finer than D60
size are 60 per cent of the total mass of the sample. The size D 10 is
sometimes called the effective size or effective diameter. The unifbm1ity
coefficient Cu (or coefficient of uniformity) is a measure of particle size
range and is given by the ratio of D60 and D10 sizes:
Similarly the shape of particles size curve
is represented by the coefficient of curvature is given by ,
For uniformly graded soil CU is equal to unity. For a well graded soil CC
must be equal to 1to 3 in additional CU must be greater than 4 for
gravel and 6 for sands (USBR1960)
Procedure:
For coarse sieve analysis
·
Take the required quantity of sample. Sieve it through a
4.75mm IS sieve. Take the soil fraction retained on 4.75mm IS sieve for the
coarse sieve analysis and that passing through the sieve for the fine sieve
analysis.
·
Sieve the sample through the set of coarse sieve in
mechanical sieve.
·
Determine the mass of the materials retained in each sieve.
·
Calculate the percentage retained through each sieve on the
basis of total mass of the sample taken.
·
Determine the percentage passing through each sieve.
For Fine sieve analysis
·
Take the portion of the soil sample passing 4.75mm IS sieve.
Oven dry it at 105 to 1100C. weight it to 0.1% of the soil mass.
·
Sieve the sample through the set of coarse sieve in
mechanical sieve.
·
Take the material retained on various sieves in a mortar.
Rub it with rubber pestle, but do not try to break individual particles.
·
Revise the materials through the nest of sieve.(minimum 1o
minute od shaking)
·
Collect the soil fraction retained on each sieve in a
separate container. Take the mass
·
Determine the percentage retained, cumulative percentage
retained and percentage finer based on the total mass of sample taken.
Observation and calculations:
Total mass of Dry soil= 400gm
Mass of soil retained on 4.75mm sieve= 200gm
Mass of soil passing through 4.75mm sieve= 200gm
S.N |
|
|
|||
IS sieve(mm) |
Mass of soil
retained (gm) |
Percentage
retained (%) |
Cumulative %
retained |
% finer |
|
Coarse fraction |
|||||
1 |
100 |
- |
|
|
|
2 |
80 |
- |
|
|
|
3 |
40 |
- |
|
|
|
4 |
20 |
30gm |
7.50 |
7.50 |
92.50 |
5 |
10 |
62gm |
15.50 |
23.00 |
77.00 |
6 |
4.75 |
108gm |
27 |
50.00 |
50.00 |
Fine fraction |
|||||
7 |
2 |
30.5gm |
7.62 |
57.62 |
42.38 |
8 |
1 |
24.0gm |
6.0 |
63.62 |
36.38 |
9 |
600µ |
17.5gm |
4.38 |
68.00 |
32.00 |
10 |
425µ |
16.0gm |
4.0 |
72.00 |
28.00 |
11 |
300µ |
14.0gm |
3.50 |
75.50 |
24.50 |
12 |
212µ |
18.0gm |
4.50 |
80.00 |
20.00 |
13 |
125µ |
22.0gm |
5.50 |
85.50 |
14.50 |
14 |
75µ |
36.0gm |
9.0 |
94.50 |
5.50 |
15 |
Pan |
22.0gm |
5.50 |
100.00 |
|
Result:
Percentage finer given in the last column can be used to plot the particle
size distribution curve with particle size as abscissa on log scale and the
percentage finer and ordinate. [Note. If the fine fraction contains as
appreciable amount of clay particles, the wet sieve analysis is required]
Conclusion
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