Introduction to Combined Loading
general case
Use statics to determine forces: Vx, Ny, Vz
and moments:
Mx, Ty, Mz
at some particular location.
And then determine normal and shear stresses in each direction, σx = Nx/Ax + Fb/Ab + pr/t + pr/2t -p - Myy/Iy - Mzz/Iz
σy = Ny/Ay + Fb/Ab + pr/t + pr/2t -p - Mxx/Ix - Mzz/Iz
σz = Nz/Az + Fb/Ab + pr/t + pr/2t -p - Mxx/Ix - Myy/Iyτxy = V/A + Txcx/Jx + Tycy/Jy + VxQx/Ixbx+ VyQy/Iyby
τyz = V/A + Tycy/Jy + Tzcz/Jz + VyQy/Iyby+ VzQz/Izbz
τzx = V/A + Txcx/Jx + Tzcz/Jz + VxQx/Ixbx + VzQz/Izbzeliminating terms as needed.
axial compression + flexure
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σ = -N/A - My/I