1

### 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, ${{M_P}}$ is given by
A
${{3{M_P}} \over L}$
B
${{4{M_P}} \over L}$
C
${{5{M_P}} \over L}$
D
${{6{M_P}} \over L}$
2

### 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 ${\sigma _y}$ denoting the yield stress) becomes
A
${{bh{\sigma _y}} \over 4}$
B
${{2bh{\sigma _y}} \over 9}$
C
${{bh{\sigma _y}} \over 2}$
D
${{bh{\sigma _y}} \over 3}$
3

### 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 $P,$ the collapse load shall be
A
$2.0$ $P$
B
$1.5$ $P$
C
$1.2$ $P$
D
$P$
4

### 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 horizontal load. The collapse load $P$ required for the development of a beam mechanism is
A
$3{M_P}/L$
B
$4{M_P}/L$
C
$6{M_P}/L$
D
$8{M_P}/L$

### EXAM MAP

#### Graduate Aptitude Test in Engineering

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