For the structures shown in figure, calculate.

1 (a) i)
Static indeterminacy.

3 M

1 (a) ii)
Kinematic indeterminacy (neglecting axial deformation for flexural members)

3 M

1 (b)
Determine the horizontal displacement of joint D of the rigid jointed plane frame as shown in figure, due to change of temperature of member surfaces. Consider depth of all the member as 500mm. Take α

_{t}=12×10^{-6}/°C.

10 M

1 (c)
Determine the shape factor for the triangular section as shown in figure

4 M

2 (a)
Analysis the rigid joined plane frame as shown in figure, using moment distribution Method. Draw BMD,SFD and elastic curve.

10 M

2 (b)
Analyse the beam by three moment theorem and Draw B.M.D

10 M

3 (a)
Analysis the rigid joined plane frame as shown in figure, using slope deflection method. Draw BMD,SFD and deflected shape.

12 M

3 (b)
A two hinged parabolic arch of span-20 meter and rise 4 meter carries uniformly distributed load of 40kN/m on right half span find the reaction at the supports and deaw BMD.

8 M

4 (a)
Analysis the rigid joined plane frame as shown in figure, using Flexibility Method. Draw BMD,SFD and deflected shape.

12 M

4 (b)
Analysis the beam by flexibility method and draw BMD.

8 M

5 (a)
Analysis the rigid joined plane frame as shown in figure, using stiffness Method. Draw BMD, SFD and deflected shape.

12 M

5 (b)
Calculate the plastic moment capacity required for the continuous beam with working load as shown in figure.

8 M

6 (a)
Analysis pin joined plane frame shown in figure and calculate the forces in all members. Take AE constant.

12 M

6 (b)
Analyze the beam as shown in figure using stiffness method.

8 M

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