Cantilever Deflection (1, 7); Cantilever Slope (1, 8) - HP 48gII Advanced User's Reference Manual

Cantilever Deflection (1, 7)

Equation:
2
P x
y = ---------------- - x 3 – a + ---------------- -
6 E I 2 E I
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:
P x
---------------- -
= x 2 – a +
2 E I
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: = -0.2652_°.
2 2
M x w x
2
– ------------------- - 6 L – 4
24 E I
M x w x
2
------------ ---------------- -
– 3 L – 3 L x
E I 6 E I
2
L x + x
2
+ x
Equation Reference 5-7