Figure P3.15 shows a thin cantilever beam of unit thickness carrying a uniform load of intensity p per unit length. Assume that the stress function is expressed by

In which a, ? e are constant. Determine (a) the requirements on a, ?, e so that ? is biharmonic; (b) the stresses ? _x , ? _y , and ? _xy .

Figure p3.15

Transcribed Image Text:

$ = ax² + bx²y + cy³ + dy³ + ex²y³ YA h ht k -ו - X $ = ax² + bx²y + cy³ + dy³ + ex²y³ YA h ht k -ו - X

Answer rating: 100% (QA)

a Write the condition for the Airy stress function to be biharmonic Here is the Airy stress function Substitute the Airy stress function ax 2 bx 2 y c... View the full answer