Question $\frac{2}{101}$

Calculate the nominal load $\text{'}w\text{'}$ at which plastic mechanism forms for the beam shown below, assuming that the distributed load is live load. Use appropriate partial safety factors. Assume that the cross $5$ ection is ISLB $450,$ and steel grade is E$250.$ Use plastic moment capacity calculated from seetion dimensions given on page $3.$ Check whether following items are satisfied.

$(1)$ Plastic analysis is permissible for the cross section

$(2)$ Deformation $$ nder service loads does not exceed L$/180$

$(3)$ Low shear condition is admissible

If you find that any of the above conditions are violated, suggest how the design load should change.