GATE CE
Structural Analysis
Moment Distribution Method
Previous Years Questions

Marks 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 ...
For the beam shown below, the value of the support moment $$M$$ is ____________ $$KN$$-$$m$$. ...
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 ...
Identify the correct deflection diagram corresponding to the loading in the plane frame shown below : ...
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...
If the Shear Force at a section of a beam under bending is equal to zero then the Bending Moment at the section is
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 dev...
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...

Marks 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 $$kN$$) ...
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...
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 ...
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 $$...
A two span continuous beam having equal spans each of length $$L$$ is subjected to a uniformly distributed load $$w$$ per unit length. The beam has co...
A two span continuous beam having equal spans each of length $$L$$ is subjected to a uniformly distributed load $$w$$ per unit length. The beam has co...
Vertical reaction developed at $$B$$ in the frame below due to the applied load of $$100$$ $$kN$$ (with $$150,000$$ $$m{m^2}$$ cross- sectional area a...
Carry-over factor $${C_{AB}}$$ for the beam shown in the figure below is ...
All members of the frame shown below have the same flexural rigidity $$EI$$ and length $$L.$$ If a moment $$M$$ is applied at joint $$B,$$ the rotatio...
The plane frame below is analyzed by neglecting axial deformations. Following statements are made with respect to the analysis : $$1.$$$$\,\,\,\,\,...
The stiffness $$K$$ of a beam deflecting in a symmetric mode, as shown in the figure, is _______ ...
A propped cantilever beam of span $$'L'$$ is loaded with $$u.d.l$$ of intensity $$w$$/unit length, all through the span. Bending Moment at the fixed e...
The frame below shows three beam elements $$OA, OB$$ and $$OC$$, with identical length $$L$$ and flexural rigidity $$EI$$, subject to an external mome...
For the frame shown in the Fig. the maximum bending moment in the column is, ...
A propped cantilever beam of span $$'L'$$ is loaded with $$u.d.l$$ of intensity $$w$$/unit length, all through the span. Bending Moment at the fixed e...
$$M$$-$$\theta $$ relationship for a simply supported beam shown below is given by ...
Rotational stiffness-coefficient, $${K_{11}}$$ for the frame having two members of equal $$EI/L$$ is given by. ...
Bending moments at joint $$b$$ and $$C$$ of the portal frame are respectively, ...
The magnitude of the bending Moment at the fixed support of the beam is equal to ...
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