If the magnitude of load P is increased till collapse and

Home » Mechanics and Structural Analysis » Mechanical and structural analysis miscellaneous » Question

If the magnitude of load P is increased till collapse and the plastic moment carrying capacity of steel beam section is 90 kNm, determine reaction R(in kN) (correct to 1-decimal place) using plastic analysis.

1. 60
2. 33
3. 55
4. 44

Correct Option: A

- M_Pθ + P	l	θ =0
	2

∴ P_u =	M_P	=	6 × 90	= 180 kN
	l		3

At collapse condition SM_A = 0
R × 3 + M_P – P × 1.5 – M_P + M_P = 0
⇒ R = 60 kN