Moment Distribution Method · Structural Analysis · GATE CE
Marks 1
1
A horizontal beam $$ABC$$ is loaded as shown in the figure below. The distance of the point of contraflexure from end $$A$$ (in $$m$$) is
GATE CE 2015 Set 2
2
For the beam shown below, the value of the support moment
$$M$$ is ____________ $$KN$$-$$m$$.
$$M$$ is ____________ $$KN$$-$$m$$.
GATE CE 2015 Set 1
3
Identify the correct deflection diagram corresponding to the loading in the plane frame shown below :
GATE CE 2000
4
A frame $$ABCD$$ is supported by a roller at $$A$$ and is on a hinge at $$C$$ as shown below. The reaction at the roller end $$A$$ is given by
GATE CE 2000
5
A single bay single storey portal frame has a hinged left support and a fixed right support. It is loaded with $$u.d.l$$ on the beam. Which one of the following statements is true with regard to the deformation of the frame
GATE CE 1995
6
If the Shear Force at a section of a beam under bending is equal to zero then the Bending Moment at the section is
GATE CE 1995
7
The ratio of the stiffness of a beam at the near end when the far end is hinged to the stiffness of the beam at the near end when the far end is fixed is
GATE CE 1994
8
A single bay portal frame of height $$'h'$$ fixed at the base is subjected to a horizontal displacement $$'\delta '$$ at the top. The base moments developed is proportional to _____, where $$'{\rm I}'$$ is the moment of inertia of the cross section.
GATE CE 1994
Marks 2
1
The horizontal beam PQRS shown in the figure has a fixed support at point P, an internal hinge at point Q, and a pin support at point R. A concentrated vertically downward load (V) of 10 kN can act at any point over the entire length of the beam.
The maximum magnitude of the moment reaction (in kN.m) that can act at the support P due to V is ________________ (in integer).
GATE CE 2024 Set 2
2
The value of $$M$$ in the beam $$ABC$$ shown in the figure is such that the joint $$B$$ does not rotate.
The value of support reaction (in $$kN$$) at $$B$$ should be equal to _____________
GATE CE 2017 Set 1
3
The portal frame shown in the figure is subjected to a uniformly distributed vertical load $$w$$ (per unit length).
The bending moment in the beam at the joint $$'Q'$$ is
GATE CE 2016 Set 2
4
Considering the symmetry of a rigid frame as shown below, the magnitude of the bending moment (in $$kN$$-$$m$$) at $$P$$ (preferably using the moment distribution method) is
GATE CE 2014 Set 2
5
All members in the rigid-jointed frame shown are prismatic and have the same flexural stiffness $$EI$$. Find the magnitude of the bending moment at $$Q$$ (in ݇ܰ݉$$kN$$-$$m$$) due to the given loading _______________
GATE CE 2013
6
A two span continuous beam having equal spans each of length $$L$$ is subjected to a uniformly distributed load $$w$$ per unit length. The beam has constant flexural rigidity.
The bending moment at the middle support is
GATE CE 2007
7
A two span continuous beam having equal spans each of length $$L$$ is subjected to a uniformly distributed load $$w$$ per unit length. The beam has constant flexural rigidity.
The reaction at the middle support is
GATE CE 2007
8
Vertical reaction developed at $$B$$ in the frame below due to the applied load of $$100$$ $$kN$$ (with $$150,000$$ $$m{m^2}$$ cross- sectional area and $$3.125 \times {10^9}$$ $$m{m^4}$$ moment of inertia for both members) is
GATE CE 2006
9
Carry-over factor $${C_{AB}}$$ for the beam shown in the figure below is
GATE CE 2006
10
All members of the frame shown below have the same flexural rigidity $$EI$$ and length $$L.$$ If a moment $$M$$ is applied at joint $$B,$$ the rotation of the joint is
GATE CE 2005
11
The plane frame below is analyzed by neglecting axial deformations. Following statements are made with respect to the analysis :
$$1.$$$$\,\,\,\,\,\,\,$$ Column $$AB$$ carries axial force only.
$$2.$$$$\,\,\,\,\,\,\,$$ Vertical deflection at the center of beam $$BC$$ is $$1mm.$$
Which of the following applies?
GATE CE 2004
12
The stiffness $$K$$ of a beam deflecting in a symmetric mode, as shown in the figure, is _______
GATE CE 2003
13
A propped cantilever beam of span $$'L'$$ is loaded with $$u.d.l$$ of intensity $$w$$/unit length, all through the span. Bending Moment at the fixed end is
GATE CE 2002
14
The frame below shows three beam elements $$OA, OB$$ and $$OC$$, with identical length $$L$$ and flexural rigidity $$EI$$, subject to an external moment $$M$$ applied at the rigid joint $$O.$$ The correct set of bending moments $$\left\{ {{M_{OA}},\,{M_{O{\bf{B}}}},{M_{OC}}} \right\}$$
GATE CE 2001
15
A propped cantilever beam of span $$'L'$$ is loaded with $$u.d.l$$ of intensity $$w$$/unit length, all through the span. Bending Moment at the fixed end is
GATE CE 1997
16
For the frame shown in the Fig. the maximum bending moment in the column is,
GATE CE 1997
17
Bending moments at joint $$b$$ and $$C$$ of the portal frame are respectively,
GATE CE 1996
18
Rotational stiffness-coefficient, $${K_{11}}$$ for the frame having two members of equal $$EI/L$$ is given by.
GATE CE 1996
19
$$M$$-$$\theta $$ relationship for a simply supported beam shown below is given by
GATE CE 1996
20
The magnitude of the bending Moment at the fixed support of the beam is equal to
GATE CE 1995