AMIE Sec B Mechanics Solids Exam Paper

Will you please provide the question paper of AMIE Sec B Mechanics Solids Exam ?

[Arun Vats]

Here is the list of few questions of AMIE Sec B Mechanics Solids Exam which you are looking for .

1. State Conjugate beam Theorem.

2. A simply supported beam of span ‘1’ is carrying point load W at
the mid span. What is the deflection at the centre of the beam?

3. Define Slenderness ratio.

4. What is “Equivalent length of a column”?

5. What are the types of Stresses developed, when thin cylinders are
subjected to internal fluid pressures?

6. Write the importance of Lame’s Theory.

7. Define Principal Stress.

8. Name the failure theory which is suitable for Ductile material.

9. Write two reasons for unsymmetrical bending.

10. Write the principle involved in locating the shear centre for a
Cross Section of a beam.
PART – B (5 x 12 = 60)
Answer ALL the Questions

11. A steel girder of uniform section, 14 metres long is simply
supported at its ends. It carries concentrated load of 902kN and
60kN at two points 3 metres and 4.5 metres from the two ends
respectively. Using Macaulay’s method calculate:
(a) The deflection of the girder at the points under the two loads.
(b) The maximum deflection.
Take: I = 64 x 10-4 m4 and E = 210 x 106 KN/m2.
(or)

12. A cantilever beam of 3m span is 15cm wide and 23cm deep. It
carries a uniformly distributed load of 20kN/m over its whole
span and 25kN load at the free end. Using moment area method,
calculate the maximum slope and deflection. Take: E = 210
GN/m2.

13. A bar of length 4m when used as a simply supported beam and
subjected to a u.d.l of 30kN/m over the whole span deflects
15mm at the centre. Using Euler’s formula, determine the
crippling loads when it is used as a column with following end
conditions:
(a) Both ends pin-jointed
(b) One end fixed and other end hinged
(c) Both ends fixed
(or)

14. A mild steel column is of hollow circular section 100mm as
external diameter and 80mm as internal diameter. The column is
2.4m long and is hinged at both the ends. Using Perry’s formula,
calculate the maximum permissible load with a eccentricity of
16mm, if the maximum compressive stress is limited to 80N/mm2
Take: E = 2 x 105N/mm2.

15. A cylindrical vessel whose ends are closed by means of rigid
flange Plates is made of steel plate 3mm thick. The internal
length and diameter of vessel are 50cm and 25cm respectively.
Determine the longitudinal and circumferential stresses in the
cylindrical shell due to an internal fluid pressure of 3MN/m2.
Also calculate increase in length, diameter and volume of the
vessel
Take:E = 200 GN/m2 and Poisson’s ratio = 0.3
(or)

16. A spherical shell of 120mm internal diameter has to withstand an
Internal pressure of 30MN/m2. If the permissible tensile stress is
80MN/m 2, calculate the thickness of the shell.

17. A bolt is under an axial thrust of 9.6kN together with a transverse
force of 4.8kN. Calculate its diameter according to
(a) Maximum principal stress theory
(b) Maximum shear stress theory
Factor of safety = 3, Yield strength of material of bolt = 270
N/mm2 Piosson’s ratio = 0.3
(or)

18. At a certain point in a strained material, the stresses on two
planes, at right angle to each other are 20N/mm2 and 10N/mm2
both tensile. They are accompanied by a shear stress of a
magnitude of 10N/mm2. Using analytical method, find the
location of Principal planes and Evaluate the Principal Stresses?

19. A channel section has flanges 12cm x 2cm and web 16cm x 1cm.
Determine the shear centre of the channel.
(or)

20. A cantilever, of I section, 2.4m long is subjected to a load of
600N at the free end. This load is inclined at 20° to vertical and
passing through the centroid of the section. I section has the
following Dimensions: Flanges 30mm x 2.5mm and Web 45mm
x 2.5mm. Determine the resulting bending stress at the corners.