1. Choose the most appropriate answer from the options given in questions to below:

(a) The variation of S.F. in the segment of a beam when the load IS Uniformly Distributed Load is
zero

(ii) linear

(iii) parabola
None of these
The number of members a statically determinate pin jointed plane frame has is
m>2j-3
m=2j -3

(iii) m=3j -6
m>3j-6 The effective length of a column depends upon CD support conditions

(ii) unsupported length

(iii) Both and None of these
In a stress-strain -curve for High Yielding Strength Deformed bars the vertical axis represents

(i) stress value

(ii) strain value

(iii) either stress or strain value
None of these
A beam has a bending moment, M and bending stress, The correct relation is
M

(iii) None of these The shear force and bending moment is zero at the free end of a cantilever beam, if it carries
point load at the free end
point load at the middle of its length

(iii) uniformly distributed load over the whole length
Both and (iii)
Any structure should have
strength
stability

(iii) Both of these
None of these

2.(a) Calculate the moment of inertia of the cross-section as shown in Figure 1 about centroidal axis.

<br><br> <img src='./qimages/12809-2a.jpg'>


2.(b) Define determinate structures. Explain the importance of these structures in the analysis of structures.

3. Determine the forces in all the members of the truss as shown in Figure 2.

<br><br> <img src='./qimages/12809-3.jpg'>

4.(a) Define modulus of elasticity. Explain how it is obtained.

4.(b) Draw SFD and BMD for the beam as shown in Figure 3.

<br><br> <img src='./qimages/12809-4b.jpg'>

5.(a) Determine the resultant of the coplanar system of forces as shown in Figure 4.

<br><br> <img src='./qimages/12809-5a.jpg'> Derive the formulae for bending stress in the case of simple bending, from first principles.

6.(a) Derive the Euler formula for critical load, if both the ends are hinged. A section beam as shown in Figure 5 is subjected to a shear force of 20 kN. Calculate the shear stress at the neutral axis.

<br><br> <img src='./qimages/12809-6b.jpg'>

7. Write short notes on any two of the following: Free Body Diagrams Modular Ratio Thermal Stresses