Test 2 Flashcards
Prandtl Stress Function Assumption 1
Phi is a constant along the edge of the cross-section
Prandtl Stress Function Assumption 2
T = 2SSPhi dxdy
Prandtl Stress Function Assumption 3
del2Phi/delx2 + del2Phi/dely2 = -2GTheta
Soap Bubble Analogy
Phi = cz so (-P/S)c = -2G Theta -> P/S = (2GTheta*z)/ Phi
q
tau*t
If a circular cross-section has a slit, then it can be simplified to a…
rectangular cross-section
What is symmetric bending?
When the bending moment and other components are applied in the plane of symmetry of the beam. (on X, Y, or both)
What is non-symmetric bending?
When the components (bending moments, forces, etc.) are not applied in multiple directions where they do not lie on the symmetric axes of the cross-section
How do you find the orientation of the neutral axis?
alpha (y = xtan(alpha))
Where are the maximum compressive and tensile stresses?
The max compressive and tensile stresses are at the top and bottom of the cross-section
What are the maximum compressive and tensile stresses?
Solve for the Moments of Interia and alpha then plug in the (x,y) coordinate components for the furthest bottom and top locations to sigma zz
Why do we need to find the shear center?
To find the location where a load can be applied and there will be no torsional effects, only bending effects
Will circumferential or radial stress dominate if there is no thin web?
circumferential
Will circumferential or radial stress dominate if there is a thin web?
radial
When solving for the shear center of a beam, q = ?
A’ y~’
