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engineering acoustics
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I. Classroom Location and Room Number
Bulacan State University – Natividad Hall, 4th floor, Room 408
II. Classroom Dimensioning
Pictures while measuring the room
III.Room Layout
3D VIEW
DIMENSIONS
DETAILED INTERIOR DIMENSIONING
CEILING
Area of the CeilingA = (25.5)(24.79)-[(0.85)(0.64)+ (2.28)(0.85)+(0.88)(0.85)]
A = 628.91 ft 2
FLOOR
Area of the Floor
A = (25.5)(24.79)-[(0.85)(0.64)+ (2.28)(0.85)+(0.88)(0.85)]
A = 628.91 ft 2
FRONT WALL
BACK WALL
Area of the Back Wall/Front WallA = (24.79)(8.21)A = 203.53 ft 2
Area of the Chalkboard
A = (16)(4.04) = 64.64 ft 2
Area of the Back Wall/Front WallA = (25.5)(8.21)A = 209.36 ft 2
Area of the DoorA = (3.5)(6.85) = 23.98 ft 2
Summary
Parts No. Area (ft2) Total Area (ft2)
Ceiling 1 628.91 628.91Floor 1 628.91 628.91
LEFT WALLWall 1 209.36 209.36Door 2 23.98 47.96Window 2 21.93 43.86Glass (upper part of door) 2 3.89 7.78
RIGHT WALLWall 1 209.36 209.36Window 4 19.80 79.20
BACK WALLWall 1 203.53 203.53
FRONT WALLWall 1 203.53 203.53Chalkboard 1 64.64 64.64
IV. List of Absorption Coefficients
Floor Materials 125 Hz 250 Hz 500 Hz 1 kHz 2 kHz 4 kHz
Carpet 0.01 0.02 0.06 0.15 0.25 0.45Concrete (unpainted, rough finish) 0.01 0.02 0.04 0.06 0.08 0.1Concrete (sealed or painted) 0.01 0.01 0.02 0.02 0.02 0.02Marble or lazed tile 0.01 0.01 0.01 0.01 0.02 0.02Vinyl tile or linoleum on concrete 0.02 0.03 0.03 0.03 0.03 0.02Wood parquet on concrete 0.04 0.04 0.07 0.06 0.06 0.07Wood flooring on joists 0.15 0.11 0.1 0.07 0.06 0.07
Seating Materials 125 Hz 250 Hz 500 Hz 1 kHz 2 kHz 4 kHz
Benches (wooden, empty) 0.1 0.09 0.08 0.08 0.08 0.08Benches (wooden, 2/3 occupied) 0.37 0.04 0.47 0.53 0.56 0.53Benches (wooden, fully occupied) 0.5 0.56 0.66 0.76 0.8 0.76
Benches (cushioned seats and backs, empty) 0.32 0.4 0.42 0.44 0.43 0.48
Benches (cushioned seats and backs, 2/3 occupied) 0.44 0.56 0.65 0.72 0.72 0.67
Benches(cushioned seats and backs, fully occupied) 0.5 0.64 0.76 0.86 0.86 0.76
Theater seats (wood, empty) 0.03 0.04 0.05 0.07 0.08 0.08Theater seats (wood, 2/3 occupied) 0.34 0.21 0.28 0.53 0.56 0.53Theater seats (wood, fully occupied) 0.5 0.3 0.4 0.76 0.8 0.76
Seats (fabric-upholstered, empty) 0.49 0.66 0.8 0.88 0.82 0.7Seats (fabric-upholstered, fully occupied) 0.6 0.74 0.88 0.96 0.93 0.85
Reflecting wall materials 125 Hz 250 Hz 500 Hz 1 kHz 2 kHz 4 kHzBrick (natural) 0.03 0.03 0.03 0.04 0.05 0.07Brick (painted) 0.01 0.01 0.02 0.02 0.02 0.03Concrete block (coarse) 0.36 0.44 0.31 0.29 0.39 0.25Concrete block (painted) 0.1 0.05 0.06 0.07 0.09 0.08Concrete (poured, rough finish, unpainted) 0.01 0.02 0.04 0.06 0.08 0.01
Doors (solid wood panels) 0.1 0.07 0.05 0.04 0.04 0.04Glass (1/4 plate, large pane) 0.18 0.06 0.04 0.03 0.02 0.02Glass (small pane) 0.04 0.04 0.03 0.03 0.02 0.02Plaster board (12mm (1/2") paneling on studs) 0.29 0.1 0.06 0.05 0.04 0.04
Plaster (gypsum or lime, on masonry) 0.01 0.02 0.02 0.03 0.04 0.05
Plaster (gypsum or lime, on wood lath) 0.14 0.1 0.06 0.05 0.04 0.04
Plywood (3mm(1/8") paneling over 31.7mm(2-1/4") airspace) 0.15 0.25 0.12 0.08 0.08 0.08
Plywood (3mm(1/8")paneling over 57.1mm(2")airspace) 0.28 0.2 0.1 0.1 0.08 0.08
Plywood (5mm(3/16")paneling over 50mm(2") airspace) 0.38 0.24 0.17 0.1 0.08 0.05
Plywood (5mm(3/16")paneling, 25mm(1") fiber glass in 50 mm(2") airspace)
0.42 0.36 0.19 0.1 0.08 0.05
Plywood 6mm (1/4")paneling, airspace, light bracing) 0.3 0.25 0.15 0.1 0.1 0.1
Plywood (10mm(3/8")paneling, airspace, light bracing) 0.28 0.22 0.17 0.09 0.1 0.11
Plywood (19mm(3/4")paneling, airspace, light bracing) 0.2 0.18 0.15 0.12 0.1 0.1
Ordinary window glass 0.35 0.25 0.12 0.08 0.08 0.08
Absorptive wall materials 125 Hz 250 Hz 500 Hz 1 kHz 2 kHz 4 kHzDrapery (10 oz/yd2, 340 g/m2, flat against wall) 0.04 0.05 0.11 0.18 0.3 0.35
Drapery (14 oz/yd2, 476 g/m2, flat against wall) 0.05 0.07 0.13 0.22 0.32 0.35
Drapery (18 oz/yd2,612 g/m2, flat against wall) 0.05 0.12 0.35 0.48 0.38 0.36
Drapery (14 oz/yd2,476 g/m2, pleated 50%) 0.07 0.31 0.49 0.75 0.7 0.6
Drapery (18 oz/yd2,612 g/m2,pleated 50%) 0.14 0.35 0.53 0.75 0.7 0.6
Fiberglass board (25mm(1")thick) 0.06 0.2 0.65 0.9 0.95 0.98Fiberglass board (50mm(2")thick) 0.18 0.76 0.99 0.99 0.99 0.99Fiberglass board (53.975mm(2-1/8")thick) 0.77 0.50 0.94 1.17 1.22 1.19
Fiberglass board (75mm(3")thick) 0.53 0.99 0.99 0.99 0.99 0.99Fiberglass board (100mm(4")thick) 0.99 0.99 0.99 0.99 0.99 0.97Open brick pattern 75mm (3") fiberglass 0.4 0.65 0.8.5 0.75 0.65 0.6
Page board over 25mm (1") fiberglass board 0.08 0.32 0.99 0.76 0.34 0.12
Page board over 50mm (2") fiberglass board 0.26 0.97 0.99 0.66 0.34 0.14
Page board over 75mm (3") fiberglass board 0.49 0.99 0.99 0.69 0.37 0.15
Preformatted metal(13% open, over 50mm (2") fiberglass) 0.25 0.64 0.99 0.97 0.88 0.92
Chalkboard 0.15 0.25 0.12 0.08 0.08 0.08
Ceiling Material 125 Hz 250 Hz 500 Hz 1 kHz 2 kHz 4 kHzPlasterboard(12mm(1/2") in suspended ceiling grid) 0.15 0.11 0.04 0.04 0.07 0.08
Underlay in perforated metal panels (25mm(1") batts) 0.51 0.78 0.57 0.77 0.9 0.79
Metal deck (perforated channels,25mm(1") batts) 0.19 0.69 0.99 0.88 0.52 0.27
Metal deck (perforated channels,75mm(3") batts) 0.73 0.99 0.99 0.89 0.52 0.31
Plaster (gypsum or lime, on masonary) 0.01 0.02 0.02 0.03 0.04 0.05
Plaster (gypsum or lime, rough finish or timber lath) 0.14 0.1 0.06 0.05 0.04 0.04
Sprayed cellulose fiber (16mm(5/8") on solid backing) 0.05 0.16 0.44 0.79 0.9 0.91
Sprayed cellulose fiber (25mm(1") on solid backing) 0.08 0.29 0.75 0.98 0.93 0.76
Sprayed cellulose fiber (25mm(1") on timber lath) 0.47 0.9 1.1 1.03 1.05 1.03
Sprayed cellulose fiber (32mm(1-1/4") on solid backing) 0.1 0.3 0.73 0.92 0.98 0.98
Sprayed cellulose fiber (75mm(3") on solid backing) 0.7 0.95 1 0.85 0.85 0.9
Wood tongue-and-groove roof decking 0.24 0.19 0.14 0.08 0.13 0.1
Miscellaneous surface material 125 Hz 250 Hz 500 Hz 1 kHz 2 kHz 4 kHzPeople-adults (per 1/10 person) 0.25 0.35 0.42 0.46 0.5 0.5People-high school students (per 1/10 person) 0.22 0.3 0.38 0.42 0.45 0.45
People-elementary students (per 1/10 person) 0.18 0.23 0.28 0.32 0.35 0.35
Ventilating grilles 0.3 0.4 0.5 0.5 0.5 0.4Water or ice surface 0.008 0.008 0.013 0.015 0.02 0.025
V.Computation of Noise Reduction Coefficient (NRC)
The NRC is the arithmetic average of the sound absorption coefficients “α” at 250 Hz,
500 Hz, 1000 Hz and 2000 Hz frequencies for acoustical materials.
NRC=α 250+α500+α1000+α2000
4
These are the lists of materials and its NRC that can be seen from the classroom assigned.
MATERIALS 250 Hz 500 Hz 1 kHz 2 kHz NRCFLOOR MATERIALS
Marble or lazed tile 0.01 0.01 0.01 0.02 0.0125WALL MATERIALS
Concrete block(painted) 0.05 0.06 0.07 0.09 0.0675Ordinary window glass 0.25 0.12 0.08 0.08 0.1325Doors (solid wood panels) 0.07 0.05 0.04 0.04 0.05Glass (small pane) 0.04 0.03 0.03 0.02 0.03Chalkboard 0.25 0.12 0.08 0.08 0.1325Fiberglass board (53.975mm (2-1/8") thick) 0.50 0.94 1.17 1.22 0.9575
CEILING MATERIALPlywood 6mm (1/4")paneling, airspace, light bracing) 0.25 0.15 0.1 0.1 0.15
VI. Total Sound Absorption
The sum of all room surface areas times their respective noise reduction coefficients.
aT=∑ Sα
Items NRC Number Total Area (ft2) a (Sabins)
Ceiling 0.15 1 628.91 94.34Floor 0.0125 1 628.91 7.86
LEFT WALLWall (minus the door and window) 0.0675 1 109.4 7.38
Door 0.05 2 47.96 2.40Window 0.1325 2 43.86 5.81Glass (upper part of door) 0.03 2 7.78 0.23
RIGHT WALLWall (minus the window) 0.0675 1 130.16 8.79
Window 0.1325 4 79.20 10.49
BACK WALLWall 0.0675 1 203.53 13.74
FRONT WALLWall (minus the chalkboard) 0.0675 1 138.89 9.38
Chalkboard 0.1325 1 64.64 8.56aT= 168.98
VII. Reverberation Time ( RT(60) or T )
Reverberation is the lingering (perpetuation) of reflected sound within a room after the
sound source has ceased. It is what contributes to the aural “depth” of the sound.
The reverberation period is defined as the time for the sound to decay 60dB after the
sound source has stopped.
T=0.05 VaT
V = [(25.5)(24.79)(8.21)] – {(8.21)[(0.64)(0.85)+(2.28)(0.85)+(0.88)(0.85)]}
V = 5189.91 – 26.52V = 5163.39 ft3
aT = 168.98 sabins
¿0.05 5163.39168.98
T = 1.53 Seconds
VIII. Comparison with the Standard Reverberation Time for a Classroom
Standard Reverberation Time for a Classroom:
0.5 second ≤ RT(60dB) ≤ 0.7 second
The computed reverberation time (T) is greater than 0.5 sec but not less than 0.7 sec.
therefore, it did not satisfy the standard condition given. To reduce the reverberation time,
replacements or adding of new materials is necessary.
Acoustic panels are probably the most common products used to address sound
absorption today. Panels are effective at mitigating sound absorption issues and for the price
(whether DIY or purchased), they contribute nicely to a cost effective strategy.
They are typically made out of a fairly simple set of materials: fiberglass and fabric. They
can be had for relatively inexpensive prices (as cheap as $40-$50 each), but you may want to
consider making these on your own.
Fiberglass board panels 2” thick is being recommended to be added to the back wall for
the treatment of the classroom.
AFTER TREATMENT
Items NRC Number Total Area (ft2) a (Sabins)
Ceiling 0.15 1 628.91 94.34Floor 0.0125 1 628.91 7.86
LEFT WALLWall (minus the door and window)(treated)
0.9575 1 109.4 104.75
Door 0.05 2 47.96 2.40Window 0.1325 2 43.86 5.81Glass (upper part of door) 0.03 2 7.78 0.23
RIGHT WALLWall (minus the window) 0.0675 1 130.16 8.79
Window 0.1325 4 79.20 10.49BACK WALL
Wall (Treated) 0.9575 1 203.53 194.88FRONT WALL
Wall (minus the chalkboard) 0.0675 1 138.89 9.38
Chalkboard 0.1325 1 64.64 8.56
aT= 447.49
T=0.05 VaT
¿0.05 5163.39447.49
T = 0.58 Seconds
After treatment, the standard reverberation time for a classroom has been satisfied.
Therefore, the room is now desirable for learning and lecture purposes.
IX. Noise Reduction (NR) after Treatment
We apply a treatment for the classroom to satisfy the standard reverberation time. Noise
reduction is the reduction of reverberant noise level.
NR=10 loga2
a1
where: a2 = total room absorption after treatment a2 = total room absorption before treatment
NR=10 log 447.49168.98
NR = 4.23 dBNoise is reduced by 4.23dB after treatment.
X. Composite Transmission Losses / Transmission Loss of Common Wall
Room boundaries must be adequate barriers to intruding noise from outdoors and from
adjacent spaces.
CTL= ∑ S
∑ τ STL=10 log 1
τ
Wood (TL = 43 db)
43=10 log 1τ
τ = 5.0119x10-5
Concrete (TL = 46 db)
46=10 log 1τ
τ = 2.5119x10-5
Glass (TL = 31 db)
31=10 log 1τ
τ = 7.9433x10-4
Fiberglass Panel (TL = 25 dB)
25=10 log 1τ
τ = 3.1623x10-3
CTL of Left WallCTL=10 log 109.4+47.96+43.86+7.78
(109.4 x (3.1623 x10−3) )+(109.4 x (2.5119 x10−5 ))+(47.96 x (5.0119 x10−5))
+(43.86 x (7.9433 x10−4))+(7.78 x (7.9433 x10−4))CTL=27.27dB
CTL of Right WallCTL=10 log 130.16+79.20
(130.16 x(2.5119 x10−5))+(79.20 x(7.9433 x 10−4))CTL=35.00dB
CTL of Front WallCTL=10 log 138.89+64.64
¿¿¿
CTL=43.87 dB
CTL of Back WallCTL=10 log 203.53
¿¿CTL=24.97dB
XI. Noise Reduction of Composite Wall
NR=CTL+10 log (a2
s)
NR of Left WallNR=27.27+10 log( 113.19
209.36)
NR=24.60dB
NR of Right WallNR=35.00+10 log( 19.28
209.36)
NR=24.64 dB
NR of Front Wall
NR=43.87+10 log( 17.94203.53
)
NR=33.32dB NR of Back Wall
NR=24.97+10 log(194.88203.53
)
NR=24.78dB
XII. Sound Intensity Level within the room if SIL1 is 75 dB
NR=SIL1−SIL2
SIL of Left Wall24.60=75−SIL2
SIL2=50.40dB
SIL of Right Wall24.64=75−SIL2
SIL2=50.36dB
SIL of Front Wall33.32=75−SIL2
SIL2=41.68dB
SIL of Back Wall24.97=75−SIL2
SIL2=50.03dB
Total SIL2
SIL2 of Left Wall = 1.0964781 x 10−7 W/m²SIL2 of Right Wall = 1.0864256 x10−7 W/m²SIL2 of Front Wall = 1.4723125 x10−8 W/m²
SIL2 of Back Wall = 1.0715193 x10−7 W/m² Total SIL = 3.40165425 x10−7 W/m²
SILT=10 log( II o
)
SILT=55.32dB