Determine maximum sheer stress at cross-sectional point 1, 2, 3, 4 of the beam
Considering a structure is fixed at joint D as shown in the figure,
(a) Please determine all reaction forces at D;
(b) The torque, shear force, and moment diagrams from D to A;
(c) Determining the maximum of stresses (normal and shear) at the indicated points (1, 2, 3, 4) on the cross-
section of a location along the beam.
(For a circle: Izz=(π/4)(r4), J=(π/2)(r4), For a half-circle y-centroid = 4r/(3π)
Bending shear stress: τxy=(VyQy)/(Izzwz)=(Vy(ycentroid A))/(Izzwz);
Normal stress by bending: σxx =(Mzy)/Izz;
Normal stress by axial load: P/A;
Torsional shear stress: τxz =(Txr)/J)
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Determine maximum sheer stress at cross-sectional point 1, 2, 3, 4 of the beam
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