Comparison of Two Mechanics-Based Methods for Simplified Structural Analysis in Vulnerability Assessment

Table 2

Reinforcing steel in the design of the central frame of the prototype building in Figure 3 designed to different proportions of lateral load (c).

Section	% area of tensile reinforcing steel
	𝑐=12.5%	𝑆𝐼=∑𝑀^bl+𝑀br∑𝑀ca+𝑀cb∝∑ℎ^𝑏𝐴sb𝑓𝑦𝑙+ℎ𝑏𝐴sb𝑓𝑦𝑟∑ℎ𝑐𝐴sc𝑓𝑦𝑐+ℎ𝑐𝐴sc𝑓𝑦𝑏=∑ℎ^𝑏𝐴sb𝑙+ℎ𝑏𝐴sb𝑟∑ℎ𝑐𝐴sc𝑎+ℎ𝑐𝐴sc𝑏,(15)%	𝑀bl%	𝑀br%	𝑀ca%
Central beam	0.30/0.68^**	0.40/0.74	0.38/0.75	0.42/0.79	0.39/0.75
Col P4
1st Fl	0.67	1.4	1.2	2.1	1.5
2nd Fl	0.89
3rd Fl	0.45
4th Fl	0.45
Col P5
1st Fl	1.20	1.5	1.1	0.9	0.9
2nd Fl	0.81
3rd Fl	0.67
4th Fl	0.45

^**The first number refers to the edge supports whilst the second number refers to the central supports of the building.