Test: Plastic Analysis - 1 - Civil Engineering (CE) MCQ

The initial slopes and deflections of the beam do not affect the virtual work equations. Thus the displacement diagram can be simplified to consists of straight and undefiected lines i.e. rigid deformation.

The maximum shear capacity is 0.55 A_WF_Y.

Total number of plastic hinges needed for complete collapse of the beam may be given as, 
Number of plastic hinges,
= r + 1 = (3 - 2) + 1 = 2

The number of plastic hinges required to make an indeterminate beam determinate is R where R is the degree of redundancy. However, for the complete collapse of the beam (R + 1) plastic hinges will be required.

Total area, A = 5 x 60 + 5 x 60 
= 600 mm²

The centroids of half areas on either side of axis 

Therefore plastic section modulus

The simply supported beam is a determinate one, hence one plastic hinge will be required for its complete collapse. This plastic hinge will be,

formed under the load. Hence the maximum bending moment can at the most reach to the plastic moment M_p.
∴