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UNIVERSITETI I PRISHTINËS
“HASAN PRISHTINA”
FAKULTETI I EDUKIMIT
Drejtimi: Teknologji-Informatikë
Lënda: Materiale Ndërtimore
Punim Seminari
2014
Gentrit Kastrati
Prishtinë
4/28/2014
UNIVERSITETI I PRISHTINËS
“HASAN PRISHTINA”
FAKULTETI I EDUKIMIT
Tema: Forma dhe madhësia e kokërrzave
të Agregatit të Gurit
Studenti Profesoresha
Gentrit KASTRATI Arife KURTI
Prishtinë, 2014
Caktimi i koeficientit vëllimor për agregatin e gurit të dhënë, nëse ekzemplariI
marrur për shqyrtimka kokrra memadhësi sivijon:
d1 = 3.0 cm 7 kok
d2 = 2.9 cm 4 kok
d3 = 3.1 cm 3 kok
d4 = 3.5 cm 2 kok
d5 = 3.2 cm 2 kok
d6 = 2.7 cm 4 kok
d7 = 3.4 cm 3 kok
d8 = 2.8 cm 2 kok
d9 = 2.6 cm 6 kok
d10= 2.4 cm 7 kok
d11= 2.3 cm 12 kok
d12= 2.0 cm 7 kok
d13= 2.5 cm 4 kok
d14= 2.2cm 9 kok
d15= 2.1 cm 3 kok
d16= 1.9 cm 5 kok
d17= 1.8 cm 7 kok
d18= 1.6 cm 6 kok
d19= 1.5 cm 4 kok
d20= 1.3 cm 3 kok
Vëllimi i të gjitha kokrrave të zhytura në ujë është: ∑ ⋁ 𝑘𝑜𝑘 =187.16
𝑉𝑆𝐹1 = 7 ×
𝑑1
3
× 𝜋
6
= 7 ×
3.03
× 3.14
6
= 7 × 17.13 = 98.91 𝑐𝑚3
𝑉𝑆𝐹2 = 4 ×
𝑑2
3
× 𝜋
6
= 4 ×
2.93
× 3.14
6
= 4 × 12.76 = 51.05 𝑐𝑚3
𝑉𝑆𝐹3 = 3 ×
𝑑3
3
× 𝜋
6
= 3 ×
3.13
× 3.14
6
= 3 × 15.59 = 46.77 𝑐𝑚3
𝑉𝑆𝐹4 = 2 ×
𝑑4
3
× 𝜋
6
= 2 ×
3.53
× 3.14
6
= 2 × 22.43 = 44.87 𝑐𝑚3
𝑉𝑆𝐹5 = 2 ×
𝑑5
3
× 𝜋
6
= 2 ×
3.23
× 3.14
6
= 2 × 17.14 = 34.29 𝑐𝑚3
𝑉𝑆𝐹6 = 4 ×
𝑑6
3
× 𝜋
6
= 4 ×
2.73
× 3.14
6
= 4 × 10.30 = 41.20 𝑐𝑚3
𝑉𝑆𝐹7 = 3 ×
𝑑7
3
× 𝜋
6
= 3 ×
3.43
× 3.14
6
= 3 × 20.56 = 61.70 𝑐𝑚3
𝑉𝑆𝐹8 = 2 ×
𝑑8
3
× 𝜋
6
= 2 ×
2.83
× 3.14
6
= 2 × 11.48 = 22.97 𝑐𝑚3
𝑉𝑆𝐹9 = 6 ×
𝑑9
3
× 𝜋
6
= 6 ×
2.63
× 3.14
6
= 6 × 9.19 = 55.18 𝑐𝑚3
𝑉𝑆𝐹10 = 7 ×
𝑑10
3
× 𝜋
6
= 7 ×
2.43
× 3.14
6
= 7 × 7.23 = 50.64 𝑐𝑚3
𝑉𝑆𝐹11 = 12 ×
𝑑11
3
× 𝜋
6
= 12 ×
2.33
× 3.14
6
= 12 × 6.36 = 76.40 𝑐𝑚3
𝑉𝑆𝐹12 = 7 ×
𝑑12
3
× 𝜋
6
= 7 ×
2.03
× 3.14
6
= 7 × 4.18 = 29.30 𝑐𝑚3
𝑉𝑆𝐹13 = 4 ×
𝑑13
3
× 𝜋
6
= 4 ×
2.53
× 3.14
6
= 4 × 8.17 = 32.70 𝑐𝑚3
𝑉𝑆𝐹14 = 9 ×
𝑑14
3
× 𝜋
6
= 9 ×
2.23
× 3.14
6
= 9 × 5.57 = 50.15 𝑐𝑚3
𝑉𝑆𝐹15 = 3 ×
𝑑15
3
× 𝜋
6
= 3 ×
2.13
× 3.14
6
= 3 × 4.84 = 14.53 𝑐𝑚3
𝑉𝑆𝐹16 = 5 ×
𝑑16
3
× 𝜋
6
= 5 ×
1.93
× 3.14
6
= 5 × 3.58 = 17.94 𝑐𝑚3
𝑉𝑆𝐹17 = 7 ×
𝑑17
3
× 𝜋
6
= 7 ×
1.83
× 3.14
6
= 7 × 3.5 = 21.36 𝑐𝑚3
𝑉𝑆𝐹18 = 6 ×
𝑑18
3
× 𝜋
6
= 6 ×
1.63
× 3.14
6
= 6 × 2.14 = 12.86 𝑐𝑚3
𝑉𝑆𝐹19 = 4 ×
𝑑19
3
× 𝜋
6
= 4 ×
1.53
× 3.14
6
= 4 × 1.76 = 7.06 𝑐𝑚3
𝑉𝑆𝐹20 = 3 ×
𝑑20
3
× 𝜋
6
= 3 ×
1.33
× 3.14
6
= 3 × 1.14 = 3.44 𝑐𝑚3
∑ = 773.32 𝑐𝑚3
20
𝑛=1
Gjetja e vëllimit të kokërrzavetëagregatit të gurit
d = 8.5 cm
h = 8.0 cm
𝑉 = ℎ ×
𝑑2
× 𝜋
4
𝑉 = ℎ ×
𝑑2
× 𝜋
4
= 8 ×
8.52
× 3.14
4
= 8 ×
72.25 × 3.14
4
= 453.73
d= 8.5 cm
h1= 11.3 cm
Vkok=h1∙
𝑑2∙𝜋
4
𝑉𝑘𝑜𝑘 = ℎ1 ×
𝑑2 × 𝜋
4
= 11.3 ×
8.52 × 3.14
4
= 11.3 ×
72.25 × 3.14
4
= 640.89
∑ 𝑉𝑘𝑜𝑘 = 𝑉𝑘𝑜𝑘1 − 𝑉 = 640.89 − 453.73 = 187.16 𝑐𝑚3
C =
∑ 𝐾𝑜𝑘
∑ 𝑉𝑠𝑓
=
187.16𝑐𝑚3
773.32 𝑐𝑚3
= 𝟎. 𝟐𝟒
Reziltati :
C=∑ 𝑲𝒐𝒌
∑ 𝑽𝒔𝒇
=
𝟏𝟖𝟕.𝟏𝟔𝒄𝒎 𝟑
𝟕𝟕𝟑.𝟑𝟐 𝒄𝒎 𝟑
= 𝟎. 𝟐𝟒
0.24>0.15 Agregati i gurit për kah forma dhe madhësia e kokërrave
është i mire për beton.

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Gentrit Kastrati materiale ndertimore forma dhe madhesia e ag

  • 1. UNIVERSITETI I PRISHTINËS “HASAN PRISHTINA” FAKULTETI I EDUKIMIT Drejtimi: Teknologji-Informatikë Lënda: Materiale Ndërtimore Punim Seminari 2014 Gentrit Kastrati Prishtinë 4/28/2014
  • 2. UNIVERSITETI I PRISHTINËS “HASAN PRISHTINA” FAKULTETI I EDUKIMIT Tema: Forma dhe madhësia e kokërrzave të Agregatit të Gurit Studenti Profesoresha Gentrit KASTRATI Arife KURTI Prishtinë, 2014
  • 3. Caktimi i koeficientit vëllimor për agregatin e gurit të dhënë, nëse ekzemplariI marrur për shqyrtimka kokrra memadhësi sivijon: d1 = 3.0 cm 7 kok d2 = 2.9 cm 4 kok d3 = 3.1 cm 3 kok d4 = 3.5 cm 2 kok d5 = 3.2 cm 2 kok d6 = 2.7 cm 4 kok d7 = 3.4 cm 3 kok d8 = 2.8 cm 2 kok d9 = 2.6 cm 6 kok d10= 2.4 cm 7 kok d11= 2.3 cm 12 kok d12= 2.0 cm 7 kok d13= 2.5 cm 4 kok d14= 2.2cm 9 kok d15= 2.1 cm 3 kok d16= 1.9 cm 5 kok d17= 1.8 cm 7 kok d18= 1.6 cm 6 kok d19= 1.5 cm 4 kok d20= 1.3 cm 3 kok
  • 4. Vëllimi i të gjitha kokrrave të zhytura në ujë është: ∑ ⋁ 𝑘𝑜𝑘 =187.16 𝑉𝑆𝐹1 = 7 × 𝑑1 3 × 𝜋 6 = 7 × 3.03 × 3.14 6 = 7 × 17.13 = 98.91 𝑐𝑚3 𝑉𝑆𝐹2 = 4 × 𝑑2 3 × 𝜋 6 = 4 × 2.93 × 3.14 6 = 4 × 12.76 = 51.05 𝑐𝑚3 𝑉𝑆𝐹3 = 3 × 𝑑3 3 × 𝜋 6 = 3 × 3.13 × 3.14 6 = 3 × 15.59 = 46.77 𝑐𝑚3 𝑉𝑆𝐹4 = 2 × 𝑑4 3 × 𝜋 6 = 2 × 3.53 × 3.14 6 = 2 × 22.43 = 44.87 𝑐𝑚3 𝑉𝑆𝐹5 = 2 × 𝑑5 3 × 𝜋 6 = 2 × 3.23 × 3.14 6 = 2 × 17.14 = 34.29 𝑐𝑚3 𝑉𝑆𝐹6 = 4 × 𝑑6 3 × 𝜋 6 = 4 × 2.73 × 3.14 6 = 4 × 10.30 = 41.20 𝑐𝑚3 𝑉𝑆𝐹7 = 3 × 𝑑7 3 × 𝜋 6 = 3 × 3.43 × 3.14 6 = 3 × 20.56 = 61.70 𝑐𝑚3 𝑉𝑆𝐹8 = 2 × 𝑑8 3 × 𝜋 6 = 2 × 2.83 × 3.14 6 = 2 × 11.48 = 22.97 𝑐𝑚3 𝑉𝑆𝐹9 = 6 × 𝑑9 3 × 𝜋 6 = 6 × 2.63 × 3.14 6 = 6 × 9.19 = 55.18 𝑐𝑚3 𝑉𝑆𝐹10 = 7 × 𝑑10 3 × 𝜋 6 = 7 × 2.43 × 3.14 6 = 7 × 7.23 = 50.64 𝑐𝑚3 𝑉𝑆𝐹11 = 12 × 𝑑11 3 × 𝜋 6 = 12 × 2.33 × 3.14 6 = 12 × 6.36 = 76.40 𝑐𝑚3 𝑉𝑆𝐹12 = 7 × 𝑑12 3 × 𝜋 6 = 7 × 2.03 × 3.14 6 = 7 × 4.18 = 29.30 𝑐𝑚3 𝑉𝑆𝐹13 = 4 × 𝑑13 3 × 𝜋 6 = 4 × 2.53 × 3.14 6 = 4 × 8.17 = 32.70 𝑐𝑚3
  • 5. 𝑉𝑆𝐹14 = 9 × 𝑑14 3 × 𝜋 6 = 9 × 2.23 × 3.14 6 = 9 × 5.57 = 50.15 𝑐𝑚3 𝑉𝑆𝐹15 = 3 × 𝑑15 3 × 𝜋 6 = 3 × 2.13 × 3.14 6 = 3 × 4.84 = 14.53 𝑐𝑚3 𝑉𝑆𝐹16 = 5 × 𝑑16 3 × 𝜋 6 = 5 × 1.93 × 3.14 6 = 5 × 3.58 = 17.94 𝑐𝑚3 𝑉𝑆𝐹17 = 7 × 𝑑17 3 × 𝜋 6 = 7 × 1.83 × 3.14 6 = 7 × 3.5 = 21.36 𝑐𝑚3 𝑉𝑆𝐹18 = 6 × 𝑑18 3 × 𝜋 6 = 6 × 1.63 × 3.14 6 = 6 × 2.14 = 12.86 𝑐𝑚3 𝑉𝑆𝐹19 = 4 × 𝑑19 3 × 𝜋 6 = 4 × 1.53 × 3.14 6 = 4 × 1.76 = 7.06 𝑐𝑚3 𝑉𝑆𝐹20 = 3 × 𝑑20 3 × 𝜋 6 = 3 × 1.33 × 3.14 6 = 3 × 1.14 = 3.44 𝑐𝑚3 ∑ = 773.32 𝑐𝑚3 20 𝑛=1
  • 6. Gjetja e vëllimit të kokërrzavetëagregatit të gurit d = 8.5 cm h = 8.0 cm 𝑉 = ℎ × 𝑑2 × 𝜋 4 𝑉 = ℎ × 𝑑2 × 𝜋 4 = 8 × 8.52 × 3.14 4 = 8 × 72.25 × 3.14 4 = 453.73 d= 8.5 cm h1= 11.3 cm Vkok=h1∙ 𝑑2∙𝜋 4 𝑉𝑘𝑜𝑘 = ℎ1 × 𝑑2 × 𝜋 4 = 11.3 × 8.52 × 3.14 4 = 11.3 × 72.25 × 3.14 4 = 640.89 ∑ 𝑉𝑘𝑜𝑘 = 𝑉𝑘𝑜𝑘1 − 𝑉 = 640.89 − 453.73 = 187.16 𝑐𝑚3 C = ∑ 𝐾𝑜𝑘 ∑ 𝑉𝑠𝑓 = 187.16𝑐𝑚3 773.32 𝑐𝑚3 = 𝟎. 𝟐𝟒
  • 7. Reziltati : C=∑ 𝑲𝒐𝒌 ∑ 𝑽𝒔𝒇 = 𝟏𝟖𝟕.𝟏𝟔𝒄𝒎 𝟑 𝟕𝟕𝟑.𝟑𝟐 𝒄𝒎 𝟑 = 𝟎. 𝟐𝟒 0.24>0.15 Agregati i gurit për kah forma dhe madhësia e kokërrave është i mire për beton.