Plastic Analysis · Structural Analysis · GATE CE

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Marks 1

GATE CE 2014 Set 1
The ultimate collapse load $$(P)$$ in terms of plastic moment $${M_P}$$ by kinematic approach for a propped cantilever of length $$L$$ with $$P$$ acti...
GATE CE 2014 Set 1
Match the information given in Group $$-$$ $${\rm I}$$ with those in Group $$-$$ $${\rm II}.$$ ...
GATE CE 2013
As per $$IS$$ $$800:2007$$ the cross-section in which the extreme fiber can reach the yield stress, but cannot develop the plastic moment of resistanc...
GATE CE 2009
In the theory of plastic bending of beams, the ratio of plastic moment to yield moment is called
GATE CE 2008
The shape of the cross-section, which has the largest shape factor, is
GATE CE 1999
For a fixed beam with span $$L,$$ having plastic moment capacity of $${{M_p}}$$, the ultimate central concentrated load will be
GATE CE 1994
If $$'YY'$$ is the centroidal axis of a $$T$$-beam section, subjected to plastic moment, $${M_P},$$ the neutral axis lies ...
GATE CE 1993
Equilibrium condition, yield conditions $$\left( {M \le {M_p}} \right)$$ and mechanism condition (formation of a plastic collapse mechanism) are the c...
GATE CE 1991
Number of independent displacement modes (sway mechanisms) for the given frame with the load shown there in are ...
GATE CE 1988
The number of independent mechanisms the gable frame will have when loaded as shown is ...

Marks 2

GATE CE 2016 Set 2
A fixed-end beam is subjected to a concentrated load $$(P)$$ as shown in the figure. The beam has two different segments having different plastic mome...
GATE CE 2016 Set 1
A propped cantilever of span $$L$$ carries a vertical concentrated load at the mid-span. If the plastic moment capacity of the section is $${M_P}$$, t...
GATE CE 2015 Set 2
A fixed end beam is subjected to a load, W at $$1/3rd$$ span from the left support as shown in the figure. The collapse load of the beam is ...
GATE CE 2015 Set 1
For formation of collapse mechanism in the following figure, the minimum value of $${{P_u}}$$ is $$c{M_P}/L.$$ $${M_P}$$ and $$3{M_P}$$ denote the pla...
GATE CE 2014 Set 2
A prismatic beam (as shown below) has plastic moment capacity of $${{M_P}}$$, then the collapse load $$P$$ of the beam is ...
GATE CE 2013
A propped cantilever made of a prismatic steel beam is subjected to a concentrated load $$P$$ at mid span as shown. If the magnitude of loadܲ is in...
GATE CE 2013
A propped cantilever made of a prismatic steel beam is subjected to a concentrated load $$P$$ at mid span as shown. If load $$P=80$$ $$kN,$$ find ...
GATE CE 2011
The value of $$W$$ that results in the collapses of the beam shown in the adjoining figure and having a plastic moment capacity of $${M_P}$$ is ...
GATE CE 2008
A continuous beam is loaded as shown in the figure below. Assuming a plastic moment capacity equal to $${{M_P}}$$, the minimum load at which the beam ...
GATE CE 2007
The plastic collapse load $${{W_P}}$$ for the propped cantilever supporting two point loads as shown in the figure in terms of plastic moment capacity...
GATE CE 2006
When the triangular section of a beam as shown below becomes a plastic hinge, the compressive force acting on the section (with $${\sigma _y}$$ denoti...
GATE CE 2005
A cantilever beam of length $$l,$$ width $$b$$ and depth $$d$$ is loaded with a concentrated vertical load at the tip. If yielding starts at a load $$...
GATE CE 2003
A steel portal frame has dimensions, plastic moment capacitance and applied loads as shown in the figure. The vertical load is always twice of the hor...
GATE CE 2002
A steel beam (with a constant $$EI,$$ and span $$L$$) is fixed at both ends and carries a uniformly distributed load ($$w$$ $$kN/m$$), which is gradua...
GATE CE 2000
The four cross sections shown below are required to be ordered in the increasing order of their respective shape factors. ...
GATE CE 2000
A cantilever beam of length $$L$$ and a cross section with shape factor $$'f'$$ supports a concentrated load $$P$$ as shown below: The length $${L_P}...
GATE CE 1999
The shape factor of the section shown in fig. is ...
GATE CE 1998
The plastic modulus of a section is $$4.8 \times {10^{ - 4}}\,\,{m^3}.$$ The shape factor is $$1.2$$. The plastic moment capacity of the section is $$...
GATE CE 1990
The fixed beam $$AB$$ has a span of $$3000$$ $$mm$$ and is of uniform cross-section. The plastic moment capacity $$({M_P})$$ of the beam's cross-sect...
GATE CE 1988
A Propped cantilever beam is shown below. The plastic moment capacity of the beam is $${M_P}.$$ The collapse load is ...

Marks 5

GATE CE 2002
Calculate the shape factor for the $$T$$-section shown in the following figure made up of two plates $$100\,\,mm \times 10\,\,mm.$$ What will be the l...
GATE CE 1998
The steel portal frame shown in figure is subjected to an imposed service load of $$15$$ $$kN$$. Compute the required plastic moment capacity of the m...
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