HP 48GII

Equation Reference 5-5
Simple Deflection (1, 3)
Equation:
y
PLa–()x⋅⋅
6LEI⋅⋅⋅
--------------------------------
x
2
La–()
2
L
2
–+()⋅=
Mx⋅
EI⋅
------------
–c
x
2
6L⋅
-----------
–
L
3
---
–
c
2
2L⋅
-----------
–
⎝⎠
⎛⎞
⋅
wx⋅
24 E I⋅⋅
--------------------
–L
3
x
2
x2–L⋅()⋅+()⋅
Example:
Given: L=20_ft, E=29000000_psi, I=40_in^4, a=10_ft, P=674.427_lbf, c=17_ft, M=3687.81_ft
∗ lbf,
w=102.783_lbf/ft, x=9_ft.
Solution: y= -0.6005_in.
Simple Slope (1, 4)
Equation:
Θ
PLa–()⋅
6LEI⋅⋅⋅
-------------------------
3x⋅
2
La–()
2
L
2
–+()⋅=
M
EI⋅
----------
–c
x
2
2L⋅
-----------
–
L
3
---
–
c
2
2L⋅
-----------
–
⎝⎠
⎛⎞
⋅
w
24 E I⋅⋅
--------------------
–L
3
x
2
4x⋅ 6–L⋅()⋅+()⋅