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: Θ= -0.0876_°.

Simple Moment (1, 5)

Equation:

Mx =

P--------------------------------⋅ (L – a) ⋅ x

+

M------------⋅ x

+ w-----------⋅ x

⋅ (L – x)

 

L

 

L

2

 

Example:

Given: L=20_ft, a=10_ft, P=674.427_lbf, c=17_ft, M=3687.81_ft∗lbf, w=102.783_lbf / ft, x=9_ft.

Solution: Mx=9782.1945_ft∗lbf

Simple Shear (1, 6)

Equation:

 

 

 

V =

P-------------------------⋅ (L – a)

+ M-----

+ w---- ⋅ (L – 2 ⋅ x)

 

L

L

2

Example:

 

 

 

Given: L=20_ft, a=10_ft, P=674.427_lbf, M=3687.81_ft∗lbf, w=102.783_lbf/ft, x=9_ft.

Solution: V=624.387_lbf.

 

 

5-6 Equation Reference