Sathyabama University, SCIX1009 BE Civil Mechanics of Solids April 2014

Register Number

                               

SATHYABAMA UNIVERSITY

(Established under section 3 of UGC Act,1956)

Course & Branch :B.E - CIVIL

Title of the Paper :Mechanics of Solids                         Max. Marks:80

Sub. Code :SCIX1009(2010/2011/2012)                       Time : 3 Hours

Date :25/04/2014                                                            Session :FN

_______________________________________________________________________________________________________________________________

                                       PART - A                    (10 x 2 = 20)

                        Answer ALL the Questions

1.     Define principal plane and principal stresses.        

2.     What are the theories of failure?

3.     Write the equivalent length for four end conditions.

4.     What are the limitations of Euler’s formula?

5.     What are the types of trusses?

6.     Define perfect frame.

7.     State the theorem of three moments.

8.     Write the slope deflection equation to find the end moments.

9.     What do you mean by unsymmetrical bending?

10.   Define shear centre.

PART – B                       (5 x 12 = 60)

Answer All the Questions

11.   An element in a stressed material has tensile stress of 500MN/m²and a compressive stress of 350MN/m² acting on two mutually perpendicular planes and equal shear stresses of 100MN/m² on these planes. Find principal stresses and position of the principal planes. Find also maximum shearing stress.

(or)

12.   In a steel member, at a point the major principal stress is 180MN/m², and the minor principal stress is compressive. If the tensile yield point of the steel is 225MN/m², find the value of the minor principal stress at which yielding will commence, according to each of the following criteria of failure:

        (i) Maximum shearing stress

(ii) Maximum total strain energy; and

(iii) Maximum shear strain energy

Take Poisson’s ratio=0.26

13.   Derive an expression for Euler’s crippling load when one end of column is fixed and other end is free.

(or)

14.   A short length of tube 3cm internal and 5cm external diameter, failed in compression at a load of 240KN.When a 2m length of the same tube was tested as a strut with fixed ends, the load at the failure was 158kN.Assuming that in Rankine’s formula is given by the first test and the value of constant ‘a’ in the same formula what will be the crippling load of this tube if it is used as a strut 3metres long with one end fixed and other end hinged?

15.   A truss of 12m span is loaded as shown in fig. Find the forces in the members of the ctruss by method of joints.

(or)

16.   Using the method of tension coefficients, analyse the cantilever plane truss shown in fig. and find the member forces.

17.   A fixed beam of 6m span carries point loads of 100kN and 75kN as shown in fig. Draw the shear force and bending moment diagram.

(or)

18.   For the continues loaded beam ABCD shown in fig. Draw the BMD AND SFD.

19.   A beam of T-section flange: 100mm x 20mm, web: 150mm x 10mm is 2.5m in length and is simply supported at the ends. It carries a load of 3.2kN inclined at 20⁰ to the vertical and passing through the centroid of the section. If E=200GN/m² Calculate,

        (i) Maximum tensile stress

(ii) Maximum compressive stress

(iii) Deflection due to load

(iv) Position of the neutral axis

(or)

20.   Determine the shear centre for unequal I-section.

Share This