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∑Fy=0 Ay + Dy =10 + 15(2.5)
Ay + Dy = 10 + 37.5
Ay + Dy= 47.5
∑MA=0 Dy(6) =10(2) + 15(2.5)(4.75)
Dy(6) = 20 + 178.125
Dy(6) = 198.125
Dy= 33.02 KN
Ay= 14.48 KN
∑MD=0 -Ay(6) + 10(4) + 15(2.5)(1.25)=0
Ay(6) = 40 + 46.875
Ay(6) = 86.875
Ay= 14.48 KN
Dy= 33.02 KN
CORTE(0≤ X < 2)
CORTE(2≤ X < 3.5)
CORTE(3.5 ≤ X <6) CORTE(0 ≤ X <2.5)
CORTE(0≤ X < 2)
CORTE(2≤ X < 3.5)
CORTE(0≤ X < 2)
CORTE(0≤ X < 2)
X
14.48 KN
CORTE(0≤ X < 2)
V
M
14.48 –V= 0
V= 14.48
14.48 KN
∑V=0 ∑M=0
X
M-14.48X=0
M=14.48 X
X(0) M=0 KN.M
X(2) M=28.96KN.M
CORTE(2≤ X < 3.5)
X
X-2
CORTE(2≤ X < 3.5)
X
V
M
∑V=0
M-14.48X+10(X-2)= 0
M= 14.48X -10(X-2)
-V+ 14.48 -10=0
- V+ 4.48= 0
V=4.48 KN
14.48 KN
∑M=0
X(2) M=28.96 KN.M
X(3.5) M=35.68KN.M
CORTE(0≤ X < 2.5)
CORTE(0 ≤ X <2.5)
33.02 KN
X
15
V
M
33.02 +V - 15X= 0
V=15X -33.02 -M +33.02 X – 15(X)(X/2)= 0
M=33.02X - 15(X)(X/2)
∑V=0
∑M=0
X(0) V=-33.02KN
X(2.5) V=4.48 KN X(0) M=0 KN.M
X(2.5) M= 35.68 KN.M

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Sesión 05

  • 1. ∑Fy=0 Ay + Dy =10 + 15(2.5) Ay + Dy = 10 + 37.5 Ay + Dy= 47.5
  • 2. ∑MA=0 Dy(6) =10(2) + 15(2.5)(4.75) Dy(6) = 20 + 178.125 Dy(6) = 198.125 Dy= 33.02 KN Ay= 14.48 KN
  • 3. ∑MD=0 -Ay(6) + 10(4) + 15(2.5)(1.25)=0 Ay(6) = 40 + 46.875 Ay(6) = 86.875 Ay= 14.48 KN Dy= 33.02 KN
  • 4. CORTE(0≤ X < 2) CORTE(2≤ X < 3.5) CORTE(3.5 ≤ X <6) CORTE(0 ≤ X <2.5) CORTE(0≤ X < 2) CORTE(2≤ X < 3.5)
  • 6. CORTE(0≤ X < 2) X 14.48 KN
  • 7. CORTE(0≤ X < 2) V M 14.48 –V= 0 V= 14.48 14.48 KN ∑V=0 ∑M=0 X M-14.48X=0 M=14.48 X X(0) M=0 KN.M X(2) M=28.96KN.M
  • 8. CORTE(2≤ X < 3.5) X X-2
  • 9. CORTE(2≤ X < 3.5) X V M ∑V=0 M-14.48X+10(X-2)= 0 M= 14.48X -10(X-2) -V+ 14.48 -10=0 - V+ 4.48= 0 V=4.48 KN 14.48 KN ∑M=0 X(2) M=28.96 KN.M X(3.5) M=35.68KN.M
  • 11. CORTE(0 ≤ X <2.5) 33.02 KN X 15 V M 33.02 +V - 15X= 0 V=15X -33.02 -M +33.02 X – 15(X)(X/2)= 0 M=33.02X - 15(X)(X/2) ∑V=0 ∑M=0 X(0) V=-33.02KN X(2.5) V=4.48 KN X(0) M=0 KN.M X(2.5) M= 35.68 KN.M