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GRAFICKI RAD
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graficki rad
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a) L = 5 m = 5 * 102 cm
P = 50 kN
E = 200 GPa = 200 * 102 kN/cm2 = 2 * 104 kN/cm2
J = 8360 cm4
g = 42,2 kg/m1
h = 30 cm
b = 15 cm
t = 10,7 mm
s = 7,1 mm
P x L3
V =
48 x E x J
2
3
50kN x 5
( x10 cm)
6
3
50kN x125 x10 cm
V =
=
=
4
2
4
48 x 2 x10 kN / cm x 8360cm
4
2
4
96 x10 kN / cm x 8360cm
6
3
6250 x10 kN x cm
=
4
2
802560 x10 kN x cm
V = 0,007788 * 102 cm = 0,7788 cm
G = g * L
G = 42,2 kg/m1 * 5m
G = 211 kg
b) L = 5 m = 5 * 102 cm
P = 50 kN
E = 8 GPa = 8 * 102 kN/cm2
= 600 kg/m3 = 6 * 10-4 kg/cm3
b = 15 cm
Vd = V = 0,7788 cm
P x L3
P x L3
Vd =
J =
48 x E x J
48 x E xVd
50kN x 5
( x102 cm)3
50kN x125 x106 cm3
J =
=
=
48 x 8 x102 kN / cm 2 x
77
,
0
c
88 m
384 x102 kN / cm2 x
77
,
0
c
88 m
6250 x106 kN x cm3
=
299 05
,
92 x102 kN / cm
J = 20,8989 * 104 cm4 = 208,989 * 103 cm4
3
b x d
J x12
J =
d = 3
12
b
3
4
989
,
208
x10 cm x12
3
4
2507 868
,
x10 cm
d = 3
= 3
= 3
3
3
167 19
,
12 x10 cm
15cm
15cm
d = 5,5089 * 10 cm = 55,089 cm
dusv = 56 cm
G = * V = *b * dusv * L
G = 6 * 10-4 kg/cm3 * 15 cm * 56 cm * 5 * 102 cm = 25200 * 10-2 kg
G = 252 kg
c) L = 5 m = 5 * 102 cm
P = 50 kN
E = 25 GPa = 25 * 102 kN/cm2
= 2500 kg/m3 = 25 * 10-4 kg/cm3
b = 15 cm
Vab = V = 0,7788 cm
P x L3
P x L3
Vab =
J =
48 x E x J
48 x E xVab
50kN x 5
( x102 cm)3
50kN x125 x106 cm3
J =
=
=
48 x 25 x102 kN / cm2 x 77
,
0
c
88 m
1200 x102 kN / cm 2 x 77
,
0
c
88 m
6250 x106 kN x cm3
=
934 56
,
x102 kN / cm
J = 6,6876 * 104 cm4 = 66,876 * 103 cm4
3
b x d
J x12
J =
d = 3
12
b
3
4
876
,
66
x10 cm x12
3
4
512
,
802
x10 cm
d = 3
= 3
= 3
3
3
50
,
53
08 x10 cm
15cm
15cm
d = 3,768 * 10 cm = 37,68 cm
dusv = 38 cm
G = * V = *b * dusv * L
G = 25 * 10-4 kg/cm3 * 15 cm * 38 cm * 5 * 102 cm = 71250 * 10-2 kg
G = 712,5 kg
P = 50 kN
E = 200 GPa = 200 * 102 kN/cm2 = 2 * 104 kN/cm2
J = 8360 cm4
g = 42,2 kg/m1
h = 30 cm
b = 15 cm
t = 10,7 mm
s = 7,1 mm
P x L3
V =
48 x E x J
2
3
50kN x 5
( x10 cm)
6
3
50kN x125 x10 cm
V =
=
=
4
2
4
48 x 2 x10 kN / cm x 8360cm
4
2
4
96 x10 kN / cm x 8360cm
6
3
6250 x10 kN x cm
=
4
2
802560 x10 kN x cm
V = 0,007788 * 102 cm = 0,7788 cm
G = g * L
G = 42,2 kg/m1 * 5m
G = 211 kg
b) L = 5 m = 5 * 102 cm
P = 50 kN
E = 8 GPa = 8 * 102 kN/cm2
= 600 kg/m3 = 6 * 10-4 kg/cm3
b = 15 cm
Vd = V = 0,7788 cm
P x L3
P x L3
Vd =
J =
48 x E x J
48 x E xVd
50kN x 5
( x102 cm)3
50kN x125 x106 cm3
J =
=
=
48 x 8 x102 kN / cm 2 x
77
,
0
c
88 m
384 x102 kN / cm2 x
77
,
0
c
88 m
6250 x106 kN x cm3
=
299 05
,
92 x102 kN / cm
J = 20,8989 * 104 cm4 = 208,989 * 103 cm4
3
b x d
J x12
J =
d = 3
12
b
3
4
989
,
208
x10 cm x12
3
4
2507 868
,
x10 cm
d = 3
= 3
= 3
3
3
167 19
,
12 x10 cm
15cm
15cm
d = 5,5089 * 10 cm = 55,089 cm
dusv = 56 cm
G = * V = *b * dusv * L
G = 6 * 10-4 kg/cm3 * 15 cm * 56 cm * 5 * 102 cm = 25200 * 10-2 kg
G = 252 kg
c) L = 5 m = 5 * 102 cm
P = 50 kN
E = 25 GPa = 25 * 102 kN/cm2
= 2500 kg/m3 = 25 * 10-4 kg/cm3
b = 15 cm
Vab = V = 0,7788 cm
P x L3
P x L3
Vab =
J =
48 x E x J
48 x E xVab
50kN x 5
( x102 cm)3
50kN x125 x106 cm3
J =
=
=
48 x 25 x102 kN / cm2 x 77
,
0
c
88 m
1200 x102 kN / cm 2 x 77
,
0
c
88 m
6250 x106 kN x cm3
=
934 56
,
x102 kN / cm
J = 6,6876 * 104 cm4 = 66,876 * 103 cm4
3
b x d
J x12
J =
d = 3
12
b
3
4
876
,
66
x10 cm x12
3
4
512
,
802
x10 cm
d = 3
= 3
= 3
3
3
50
,
53
08 x10 cm
15cm
15cm
d = 3,768 * 10 cm = 37,68 cm
dusv = 38 cm
G = * V = *b * dusv * L
G = 25 * 10-4 kg/cm3 * 15 cm * 38 cm * 5 * 102 cm = 71250 * 10-2 kg
G = 712,5 kg
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