Mathcad - fundatie gard.pdf
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Eforturi fundatie Dimensiuni fundatie
Nf1 4:= kN Lf 0.4:= m Caracteristici pamant
Vf 2:= kN Bf 0.4:= mpmax 200:= kPa
Mf 2:= kNm Hf 1.2:= mγp 18:=
kN
m3
ϕp 30:=γb 25:=
kN
m3 Valori rezultate pentru pamant
δp 0.5 ϕp⋅ 15=:=
N de calcul cu greutate fundatieμp tan δp
π
180⋅
0.268=:=
Nf Nf1 Lf Bf⋅ Hf⋅ γb⋅+ 8.8=:=
kp tan 45ϕp
2+
π
180⋅
1.732=:=
Valori initiale pentru incepere calcul
xLf
20.2=:= α 0.8 Hf⋅ 0.96=:= k 0.5 kp⋅ 0.866=:=
Ecuatii de echilibru
Given
suma pe X Vfk γp⋅ α⋅ Hf⋅ k γp⋅ Hf⋅+( ) 1 α−( )⋅ Hf⋅ Bf⋅
2+ μp Nf μp
k γp⋅ α⋅ Hf⋅ k γp⋅ Hf⋅+(
2
⋅+
⋅+
suma pe Y Nf μpk γp⋅ α⋅ Hf⋅ k γp⋅ Hf⋅+
2⋅ 1 α−( )⋅ Hf⋅ Bf⋅+ pmax x⋅ Bf⋅− μp
k γp⋅ α⋅ Hf⋅ α⋅ Hf⋅ Bf⋅2
⋅−
suma de M Vf Hf⋅ NfLf
2⋅+ Mf+
k γp⋅ α⋅ Hf⋅ 1 α−( )⋅ Hf⋅ 1 α−( )⋅ Hf⋅ Bf⋅2
+k γp⋅ Hf⋅ k γp⋅ α⋅−(
+
Find x α, k, ( )
0.103
0.783
1.717
=
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Hf ) 1 α−( )⋅ Hf⋅ Bf⋅
μpk γp⋅ α⋅ Hf⋅ α⋅ Hf⋅ Bf⋅
2
⋅− pmax x⋅ Bf⋅−
k γp⋅ α⋅ Hf⋅ α⋅ Hf⋅ Bf⋅2
− 0=
Bf0=
α Hf⋅ ) 1 α−( )⋅ Hf⋅ 1 α−( )⋅ Hf⋅ Bf⋅2 3⋅
pmax x⋅ Bf⋅ Lfx
2−
⋅− μp k⋅ γp⋅ α⋅ Hf⋅ α⋅ Hf⋅Bf Lf⋅
2⋅− k γp⋅ α⋅ Hf⋅ α⋅ Hf⋅ Bf⋅−
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Bf
Hf2
3α⋅ Hf⋅−
2⋅ 0=