F.Y. M.Tech. (Civil -Structural Engg.) (Semester (New CBCS)
Examination, 2018
Advanced structural analysis
Day and Date Tuesday, 4-12-2018 Total Marks 70
Time 10.00 a.m. to 2.00 p.m.
N.B. All questions are compulsory.
Figures to the right indicate full marks.
Assume suitable data if required and mention if clearly.
Section I
1. Draw ILD for Bending moment and shear force at centre of span BC of beam
as shown in fig. 1. 12
2. A semi circular beam curved in plan of radius is supported on 3 columns
as shown in fig. 2. Draw SFD, BMD and TMD if beam is subjected to udl of
throughout its circumference. 12
2. Draw BMD and TMD for a semicircular beam curved in plan having radius
. It is loaded with a load at midpoint as shown in fig.3. 12
3. A long beam supported on elastic foundation to a concentrated moment
The beam is infinitely long on both the sides of concentrated moment. Draw
SFD and BMD for the beam. 11
OR
3. Draw SF, BM deflection diagram for a semi-infinite beam on elastic
foundation fixed at one end and subjected to UDL of throughout the length.
11
Section II
4. A beam is subjected to loading as shown in fig. 4. Derive the equation for
slope at propped end and moment at fixed end. 12
5. Draw SFD and BMD for a continuous beam ABC as shown in Fig. 5. Use
stiffness method. 12
5. Draw BMD for a frame as shown in fig. 6 by stiffness method. 12
6. Derive member oriented stiffness matrix for a member of pin jointed plane frame.
Transform this matrix to a structure oriented axes by using concept of rotation
of axes.