Pan Flashcards
What is statically indeterminate?
Reaction forces cannot be resolved using balance of forces due to the redundant force
What is the equation for bending moment?
M = Px
What is the equation for stress?
M.y/ I
What is I? What is the equation? (2)
The second moment of the cross section
Integral of y^2, between d/2 and -d/2 —> bd^3/ 12
What are the governing equations for beam deflection? (2)
d^2u/ dx^2 = M/ EI
Angle of rotation = du/ dx
BD) What is the equation for max stress?
6PL/ bd^2
BD) When is the angle of rotation a maximum, if a beam has length L?
When x=L
What is the equation for axial stress?
Pr/ 2t
P = pressure
r = radius
t = thickness
What is the equation for hoop stress?
Pr/ t
P = pressure
r = radius
t = thickness
What is the equation for torque?
F.r
What is the equation for shear stress?
Tr/ J
T = torque
r = radius
J = polar moment of the cross section
What is the equation for J? What is J equal to in terms of I?
Pi/2. R^4
I = J/2