CIVIL 211 Test 2 September 166 2005
50 minutes, 15%
1.
(a)
(b)
(c)
Calculate the plastic section modulus, ZP, of the cross-section shown below
(for bending about a horizontal axis).
[1 mark]
If the material has a yield stress of 220MPa what is the value of the fully
plastic moment, MP?
[1 mark]
If the elastic section modulus ZE = 0.0141m3, what is the value of the shape
factor, f.
[1 mark]
0.4m
0.2m
0.4m
0.2m
1.
(a)
(b)
If the propped cantilever below is to carry the factored loads shown (i.e. the
loads have already been multiplied by load factors to give 1.2G+1.5Q),
determine the minimum required beam strength, MP.
[10 marks]
In the context of plastic analysis, describe briefly what you understand is
meant by the the conditions of equilibrium, mechanism and yield. Determine
whether your solution satisfies these three conditions (hint: draw the shear
force and bending moment diagrams at the instant of collapse).
[2 marks]
20kN/m
3m
80kN
2m