A 1m long cantilevered beam of rectangular cross section carries a uniform load of (w = 15 kN/m). The design specification calls for a 5-mm maximum deflection of the end of the beam. The beam is to be constructed of fir (E = 13 GPa). By analysis, determine at least 5 combinations of beam height h and beam width b that meet the specidication. What design conclusions can you draw about the influence of beam height and width on the maximum deflection? is the deflection more sensitive to h or b? If the bem were constructed with a different material, how would the delfection change?
Use the equation- Ymax= ((wL^4)/(8EI)).
Ymax - deflection of the end beam (m)
w - uniform loading (N/m)
L = beam length (m)
E - modulus of elasticitt of beam (Pa)
I = (b(h^3))/12 - moment of inertia of beam cross-section (m^4).