Question

4. The vertical post shown has a diameter of 64 mm. A horizontal force of 10 kN and a torque of 1.4 kNm are applied at the top of the post. Determine the principal stresses and maximum shearing stress at points H and K which are located on a plane 240mm down from the top of the post. 1.4 kNm 10 KN H K 240 mm

Answer 1

Calculate the bending stress at point H. (point H lies on neutral axis) I 1 Calculate the torsional shear stress at point H. TXT'на TI 67 (nd) 16(1.4x10x10') L = 27.2 MPa (T(64)) Calculate the principle stresses at H. 0:- 4 + 2) +(6x)=69 = 199 +(272)=0+ $0° +(272)" 9 = +27.2 MPa & 02 = -27.2 MPa Calculate the maximum shear stress at H. (fen) - 89)+60*- \ +(272) =212 MPa Calculate the bending stress at point H.

Ly (FxLx) = 32(FxL) 32(10x10x240) 93 25 MP 0x = Mexri. (FxI3) (rd) (2(64)") Calculate the torsional shear stress at point K. z _TX" - ""(ī) _ 167__ 16(1.4x10°x10°) .277 104(id) (7(64)") = 27.2 MPa Calculate the principle stresses at K. = (46.625) J(46.625)* +(27.2) =(46.625)+(53.979) 0,= +100.604 MPa & 0,=-7.354 MPa Calculate the maximum shear stress at K.

(Tax) x = 0)+(x) = 103,25) +(27.2) = (46.625 )2 + (27.2)* = 53.979 MPa