A hollow steel crank has an outside diameter of 26 mm and an inside diameter of 21 mm. The load magnitudes are Py = 690 N and Pz = 270 N, and the length dimensions are a = 145 mm, b = 399 mm, and c = 261 mm. Determine the magnitudes of the equivalent forces and the equivalent moments that act at the section that contains point K.
A hollow steel crank has an outside diameter of 26 mm and an inside diameter of 21 mm. The load magnitudes are Py = 690 N and Pz = 270 N, and the length dimensions are a = 145 mm, b = 399 mm, and c = 261 mm.
Determine the magnitudes of the equivalent forces and the equivalent moments that act at the section that contains point K.
(a) Axial force in x direction Px (N
(b) Shear force in y direction Vy (N
(c) Shear force in z direction Vz (N
(d) Torque around x axis Tx (N·m)
(e) Bending moment around y axis My (N·m)
(f) Bending moment around z axis Mz (N·m)
Calculate the section properties for the hollow crank at K.
(g) Area A (mm2)
(h) Polar moment of inertia J (mm4)
(i) Area moment of inertia Iy (and Iz) (mm4)
(j) QK (for shear force in y-direction) (mm3)
Using the sign conventions, determine the normal and shear stresses that act at K and show these stresses on a stress element.
(k) Normal stress in x direction σx(MPa)
(l) Normal stress in y direction σy(MPa)
(m) Shear stress in x-y plane τxy(MPa)
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