structures - equations

Question 0

Calculate force over an area

Answer 0

F=P/A
P=total force
A=total area

Question 1

Calculate force on a retaining wall

Answer 1

F=wh^2/2
w=soil pressure
h=wall height

Question 2

Calculate moment

Answer 2

M = Pd
P = force
d= distance from fixed point to force location

Question 3

Moment for uniformly loaded beam

Answer 3

M=(wL^2)/8
M=moment
w=uniform load
L=span

Question 4

Calculate Section Modulus

Answer 4

S=(bd^2)/6
rectangles
S=M/Fb (moment over bending stress)
S=I/c
I= moment of inertial
c=given constant

Question 5

Calculate Moment of Inertia

Answer 5

I=(bd^3)/12

rectangles

Question 6

Calculate deflection - column

Answer 6

e=PL/AE
e=deflecion
P=force
L=span
A=area of cross-section
E=modulus of elasticity

Question 7

Calculate deflection - beam

Answer 7

Δ=(5wL^4)/384EI

Question 8

Calculate Δt

Answer 8

Δ=eLΔt
Δ=change in length due to temp
e=coefficient of thermal linear expansion