Equation Reference 5-7
Cantilever Deflection (1, 7)
Equation:
y
Px
2
⋅
6EI⋅⋅
-----------------
x3–a⋅()⋅
Mx
2
⋅
2EI⋅⋅
-----------------
wx
2
⋅
24 E I⋅⋅
--------------------
–6L
2
⋅ 4–Lx⋅⋅ x
2
+()⋅+=
Example:
Given: L=10_ft, E=29000000_psi, I=15_in^4, P=500_lbf, M=800_ft
∗
lbf, a=3_ft, c=6_ft, w=100_lbf/ft,
x=8_ft.
Solution: y= -0.3316_in.
Cantilever Slope (1, 8)
Equation:
Θ
Px⋅
2EI⋅⋅
-----------------
x2–a⋅()⋅
Mx⋅
EI⋅
------------
wx⋅
6EI⋅⋅
-----------------
–3L
2
⋅ 3–Lx⋅⋅ x
2
+()⋅+=
Example:
Given: L=10_ft, E=29000000_psi, I=15_in^4, P=500lbf, M=800_ft
∗
lbf, a=3_ft, c=6_ft, w=100_lbf/ft,
x=8_ft.
Solution:
Θ
= -0.2652_°.