Krzysztof Stodułkiewicz
Studia stacjonarne
Budownictwo Semestr I
GRUPA III
1. OBNIŻENIE.
Dane:
Obliczyć:
Wzór:
Wmax
2.5
:=
Wx1 W 0 x
+
(
)
=
W x
( )
Wmax
1
1
e
v x
⋅
r
+
1
−
=
v
4.26
:=
Wx2 W 20 x
+
(
)
=
r
300
:=
Wx3 W 40 x
+
(
)
=
x
1.92
:=
gdzie zmienne wynoszą:
x1
0
x
+
1.92
=
:=
x2
20
x
+
21.92
=
:=
x3
40
x
+
41.92
=
:=
Wyniki obliczeń W(x):
Wx1
Wmax
1
1
e
v x1
⋅
r
+
1
−
⋅
1.26704
−
=
:=
Wx2
Wmax
1
1
e
v x2
⋅
r
+
1
−
⋅
1.44298
−
=
:=
Wx3
Wmax
1
1
e
v x3
⋅
r
+
1
−
⋅
1.61143
−
=
:=
2. NACHYLENIE.
Dane:
Obliczyć:
Wzór:
Wmax 2.5
=
Tx1 T 0 x
+
(
)
=
v
4.26
=
Tx2 T 20 x
+
(
)
=
T x
( )
Wmax
−
v
r
e
v x
⋅
r
e
v x
⋅
r
1
+
2
⋅
=
r
300
=
Tx3 T 40 x
+
(
)
=
x
1.92
=
gdzie zmienne wynoszą:
x1
0
x
+
1.92
=
:=
x2
20
x
+
21.92
=
:=
x3
40
x
+
41.92
=
:=
Wyniki obliczeń T(x):
Tx1
Wmax
−
v
r
e
v x1
⋅
r
e
v x1
⋅
r
1
+
2
⋅
0.00887
−
=
:=
Tx2
Wmax
−
v
r
e
v x2
⋅
r
e
v x2
⋅
r
1
+
2
⋅
0.00866
−
=
:=
Tx3
Wmax
−
v
r
e
v x3
⋅
r
e
v x3
⋅
r
1
+
2
⋅
0.00813
−
=
:=
3. ODKSZTAŁCENIE.
Dane:
Obliczyć:
Wzór:
Wmax 2.5
=
Ex1 E 0 x
+
(
)
=
v
4.26
=
Ex2 E 20 x
+
(
)
=
E x
( )
Wmax
−
v
2
π r
e
v x
⋅
r
e
v x
⋅
r
1
−
⋅
e
v x
⋅
r
1
+
3
⋅
=
r
300
=
Ex3 E 40 x
+
(
)
=
x
1.92
=
gdzie zmienne wynoszą:
x1
0
x
+
1.92
=
:=
x2
20
x
+
21.92
=
:=
x3
40
x
+
41.92
=
:=
Wyniki obliczeń T(x):
Ex1
Wmax
−
v
2
π r
e
v x1
⋅
r
e
v x1
⋅
r
1
−
⋅
e
v x1
⋅
r
1
+
3
⋅
0.00016
−
=
:=
Ex2
Wmax
−
v
2
π r
e
v x2
⋅
r
e
v x2
⋅
r
1
−
⋅
e
v x2
⋅
r
1
+
3
⋅
0.00181
−
=
:=
Ex3
Wmax
−
v
2
π r
e
v x3
⋅
r
e
v x3
⋅
r
1
−
⋅
e
v x3
⋅
r
1
+
3
⋅
0.00319
−
=
:=
4. KRZYWIZNA.
Dane:
Obliczyć:
Wzór:
Wmax 2.5
=
Kx1 K 0 x
+
(
)
=
v
4.26
=
Kx2 K 20 x
+
(
)
=
K x
( )
Wmaxv
2
r
2
e
v x
⋅
r
e
v x
⋅
r
1
−
⋅
e
v x
⋅
r
1
+
3
⋅
=
r
300
=
Kx3 K 40 x
+
(
)
=
x
1.92
=
gdzie zmienne wynoszą:
x1
0
x
+
1.92
=
:=
x2
20
x
+
21.92
=
:=
x3
40
x
+
41.92
=
:=
Wyniki obliczeń K(x):
Kx1
Wmaxv
2
r
2
e
v x1
⋅
r
e
v x1
⋅
r
1
−
⋅
e
v x1
⋅
r
1
+
3
⋅
0.00000172
=
:=
Kx2
Wmaxv
2
r
2
e
v x2
⋅
r
e
v x2
⋅
r
1
−
⋅
e
v x2
⋅
r
1
+
3
⋅
0.00002
=
:=
Kx3
Wmaxv
2
r
2
e
v x3
⋅
r
e
v x3
⋅
r
1
−
⋅
e
v x3
⋅
r
1
+
3
⋅
0.00003
=
:=
5. PROMIEŃ KRZYWIZNY.
Dane:
Obliczyć:
Wzór:
Kx1 K 0 x
+
(
)
=
0.00000172
=
Rx1
1
K 0
x
+
(
)
=
Kx2 K 20 x
+
(
)
=
0.00002
=
R x
( )
1
K x
( )
=
Rx2
1
K 20
x
+
(
)
=
Kx3 K 40 x
+
(
)
=
0.00003
=
x
1.92
=
Rx3
1
K 40
x
+
(
)
=
Wyniki obliczeń R(x):
Rx1
1
Kx1
582225.63098
=
:=
Rx2
1
Kx2
52651.17898
=
:=
Rx3
1
Kx3
29946.49165
=
:=
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