Question

2. A rectangular plate with sides 6 m and 4 m of thickness l 12 mm (Fig. 1) is subjected to the stresses σο Ơy and Fry. An Airy stress function is proposed to be φ = 12x3y. (a) Is φ a possible valid Airy stress function? Prove your answer by a calculation. (b) If φ is valid, determine the values of stresses (Ox, σ, and τ, at point (xy,z) which satisfy the stress function. (c) Draw a sketch showing the boundary stresses on the plate. (d) Find the resultant normal and shearing boundary forces (Px, P y, Vx, and Vy) along all the edges of the plate. Fig. 1

Answer 1

Civen dora, 冫0

oun dary ニー12.9.( 6 2- ty 6 =一29.0301