Q3 PLASTIC ANALYSIS Consider the portal frame shown below in fig 03-1. The beam has a plastic moment capacity of 3M, and

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Q3 Plastic Analysis Consider The Portal Frame Shown Below In Fig 03 1 The Beam Has A Plastic Moment Capacity Of 3m And 1 (55.12 KiB) Viewed 13 times

Q3 PLASTIC ANALYSIS Consider the portal frame shown below in fig 03-1. The beam has a plastic moment capacity of 3M, and the columns have a plastic moment capacity of My. The left-hand side column has an Encastré support while the right-hand side column has a pinned support. The main gravity load AP, which is due to a moving gantry crane, can be positioned at any location depending upon a varying from 0 to 1. The sway load, which is applied at the beam-column corner is AP. L AP al AP 3M, 3L M IN M (b) Fig 23-1 Using the upper bound theorem (kinematic method), calculate the smallest load factors 1 for a beam, a sway, and a combined collapse mechanism respectively. (20 marks) Sketch six alternative beam, sway or combined mechanisms which are not likely to produce the smallest load factors i. How many collapse mechanisms are there in total? (10 marks) Show that the beam mechanism with the smallest load factor i is never the collapse mechanism. (10 marks) Determine the positions of the gantry crane (i.e. the value(s) of a) where the sway mechanism is the collapse load. (10 marks) c) d) (d)