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Seat No.: Enrolment
GUJARAT TECHNOLOGICAL UNIVERSITY
PDDC SEMESTER-III EXAMINATION WINTER 2018
Subject Code:X30603 Date: 28/11/2018
Subject Name: Structural Analysis II
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1

For a three hinge parabolic arch of span central rise H subjected to udl over entire span, prove that Bending moment at any location is zero.
07

Define: Distribution Factor, Carry over Factor, Carry over moment, Stiffness, Flexibility, Effective Length, Radius of Gyration
07
Q.2

A three hinged parabolic arch of span 16 m and central rise of 4 m is subjected to a point load of 50 kN at 6 m from left end support. Calculate Support reactions and find out maximum positive bending moment.
07

Draw ILD for VA for a propped cantilever beam of span 6 m subjected to a unit load. Take 1 m intervals.
07
OR

Formulate Displacement Matrix for a propped cantilever beam of span 4 m subjected to a central point load of 40 kN.
07
Q.3

Analyze the beam shown in fig. 1 using moment distribution method.
07

Formulate flexibility matrix for the continuous beam shown in fig. 1 taking MA and MB as redundants.
07
OR
Q.3

Calculate support rotation at B and C for the beam shown in fig. 1 using slope deflection method.
07

Calculate support rotation at B and C for the beam shown in fig. 1 using stiffness method.
07
Q.4

Determine final moments for the plane frame shown in fig. 2 using moment distribution method.
07

Formulate stiffness matrix for the plane frame shown in fig. 2. Neglect axial deformation. Take EI constant.
07
OR
Q.4

Derive equation of hoop stress in a spherical dome subjected to concentrated load at the crown.
07

A 100 mm thick conical dome having diameter 20 m at base and 4 m rise. Assume live load 1.5 kN/m2. Calculate meridional stress and hoop stress at base due to self weight and live load.
07
Q.5

Derive the formula of Euler's buckling load for axially loaded column with both ends hinged.
07

Calculate the load carrying capacity using Euler's and Rankine's Formula for a hollow circular column having 400 mm external diameter and 25 mm thickness. The length of the column is 5 m with one end fixed and other end hinged. Take E 2.1 x 105 N/mm2, Rankine's Constant 1/1600, fc 250 N/mm2.
07
OR
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Q.5 Analyze the continuous beam shown in fig. 1 by slope deflection method.
Support B sinks by 10 mm and support C sinks by 5 mm. Draw SFD BMD.
Take E 2 x 105 N/mm2 and I 16 x 106 mm4.
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