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Untitled Draft 2

The document contains various equations and calculations related to deflection and bending in structural engineering. It includes parameters such as load (W), moment (M), and modulus of elasticity (E), along with specific values and constants. The content appears to be technical and likely intended for engineering applications.

Uploaded by

Razell Ruiz
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27 views2 pages

Untitled Draft 2

The document contains various equations and calculations related to deflection and bending in structural engineering. It includes parameters such as load (W), moment (M), and modulus of elasticity (E), along with specific values and constants. The content appears to be technical and likely intended for engineering applications.

Uploaded by

Razell Ruiz
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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" Midspan &

a Deflection at ,
X=

Ely =z w(E) "W(5- ** 15 wi


(e)
A
RA 0 5W
=
.
Rose - -

-1 Ely =2 W(E) -

Y Wi( *)
Ely" El(0) /12 WL3 You < -573 Yan WL3- 132 WL3
= M =
-
+ CL
Ely
=

EW-W 2
+
0 =2 WL - W() + (
Ely -48
= Was
Ely 1/2WX" YeW < X- *y xix 0 1/12 WL3-
1/48 Wc3 + CL
-

+ + c
=

Wh
=

y
-

1/16WL3
=
&X 0 [2 0 0 Cl E
= = = +

0
y
=

&X L =
Cl =
?
21 Wi w =
kY

(W
0
y =

Ely = WX +W(x--WEX w= k
-

k = W =
Y
(1)
.)
b

f= = w =
2H
4T .aukg
radls
=

so

W =
2 (IT) =
Hit radis
?

K= 5048 Se .

N/m
w = k =
48E

23
W
=

mg =
500N
2018 86 .
=
48 E

500N
m= =
50 .

AU 23
El =

(23) (8048 86) .

48

El = 1 .
34 x109 N .
mm2
L
I /
W 8=
Fig IB

MA MB
/, i ElSmid
El t
=

9) El FAB =
0
C
A B

"12 (0 51) (0 25
.

WL) .
-
0 51
.
(Ma) = 0 0 25WL
.
ElSmid =

(AreaxB) (**)
'(u (w(2) =2 (Ma)(2) Elfmid =
1/2 (0 52) (0 25 W()
.
.

[43 (0 52) 7- 0 52 (MA) [12(0 54)]


.
.
·

Ma ElSmid 18 Wh 18 MAL
?
/WL
=
MA
-
=
-

El Smid =
118 WL3-1/8 MAL2

Elfmid =
148 WL3 -

18 (Ywi) (12)
ElSmid 148 WL3 Yop WL3
=
-

ElSmid = Wh

Smid = (*)

W =
KS

w =

k) w
,

k =
192E)

23

b)
f
=
t =w =
24 4- u

W =
2 (IT) =
Hit radis
?
1= 8048 .

86N/m

w = 804886 192E)
=

13
W mg 500N
(2)
=

8048 Se
=

El = .

500N
m= 192
50
AU
=
.

El =
335 .
349 x10N mm2 .

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