Civil Engineering (Semester 5)
Total marks: 80
Total time: 3 Hours
INSTRUCTIONS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Draw neat diagrams wherever necessary.
1.a.
To find degree of static and kinematic indetermimnancy of structures as shown in figure1
(8 marks)
00
1.b.
The members of steel bent frame are subjected to temperature variation as shown in figure2.Find the vertical deflection at the free end 'C' considering axial deformation in members.Take depth of each member at 500 mm and $\alpha =12\times 10^{-6}/^0c$
(7 marks)
00
1.c.
Differentiate between force method and displacement method
(5 marks)
00
2.a.
Define plastic hinge and mechanism
(2 marks)
00
2.b.
Define carry over factor and relative stiffness
(2 marks)
00
2.c.
Define shape factor and load factor
(2 marks)
00
2.d.
Analyse the continuous beam loaded and supported as shown in figure3.Using Clapeyron's theorem of three moments or Moment Distribution method.The support B settles by 8mm during loading.Draw BMD and SFD .$EI =1600 kNm^2$
(14 marks)
00
3
A portal frame is loaded and supported as shown in figure4.Use flexibility method for analysis,draw BMD and deflected shape of the frame.
(20 marks)
00
4
A portal frame is loaded and supported as shown in figure4.Use Stiffness method for analysis,draw BMD and deflected shape of the frame.
(20 marks)
00
5
Using slope deflection method or Moment Distribution method ,analyse the frame loaded and supported as shown in figure5.Also draw BMD and deflected shape of the frame.
(20 marks)
00
6.a.
A two hinged parabolic arch of span 30m and rise 6m carries uniformly distributed load of 20kN/m on left hand span and downward point load of 10kN at 5m from right hand support.Find the reaction at supports and draw BMD.
OR
a Using force method or least work method,Analyse the pin joined frame loaded and supported as shown in figure6.Also find forces in all members.Take AE constants for all members.
(12 marks)
00
6.b.
Calculate the plastic moment capacity required for the continuous beam with the working load as shown in figure7
(8 marks)
00