MOS

 Important Question for GTU Exam

1.       Explain with suitable figure. (a) Types of support, (b) Types of load, (c) Types of beam.

2.       Differentiate between following : 1) Co-planar & Non coplanar force system 2) Concurrent & Non concurrent force system 3) Resolution & composition of force 4) Resultant & Equilibrant.

3.       A hollow mild steel cylinder 4 meter long, 300 mm outer diameter and thickness of metal 50 mm is subjected to central load on the top when standing straight. The stress produced is 80000 kN/ m2 . Assume Young’s modulus for mild steel as 2.0 x105 N/mm2 and Find (i) magnitude of the load , (ii) longitudinal strain produced and (iii) total decrease in length.

4.       State and explain Varignon’s theorem.

5.       Derive relation between the rate of loading, shear force and bending moment.

6.       A bar of 20 mm diameter is subjected to a pull of 50kN. The measured extension on gauge length of 250 mm is 0.12 mm and change in diameter is 0.00375 mm. Calculate: (i) Young’s modulus (ii) Poisson’s ratio and (iii) Bulk modulus. And define bulk modulus & volumetric strain.

7.       Explain following terms: (i) Shear force (ii) Bending moment (iii) Point of contra flexure.

8.       Discuss critically the assumption made in theory of Bending.

9.       A hollow circular beam having outside dia. twice the inside dia. is subjected to a bending moment of 40 KN.m. If permissible bending stress in the beam is 106 N/mm2 , find the dia. of beam.

10.   Draw only shape of shear stress distribution diagram for the following sections : (i) T section , (ii) symmetrical I section , (iii) Triangular section , (iv) H section, (v) Rectangular section (vi) circular section (vii) L section.

11.   Define: (1) Centroid, (2) Center of gravity, (3) Center of mass.

12.   Explain the following terms: (i) Space (ii) Mass (iii) Particle.

13.   A composite shaft ABC is composed of 500 mm length and 100 mm dia. of solid copper (AB) and 1000 mm length and 125 mm dia. of solid steel (BC). Torque transmitted by the shaft is 15kNm. Find (i) Max. Shear stress in each material (ii) Total angle of twist. Take Cc = 40 GN/m2 and Gs=85GN/m2 .

14.   Two mutually perpendicular planes of an element of material are subjected to direct stresses of 10.5 MN/m 2 (tensile) and 3.5 MN/m2 (comp.)and shear stress of 7 MN/m2 . Find (i) magnitude and direction of principal stresses and (ii) Magnitude of the normal and shear stresses on a plane on which the shear stress is maximum.

15.   Find second moment of area of circular lamina about its centroidal axis.

16.   Derive relation between young’s modulus (E), bulk modulus (K), and modulus of rigidity (G) with usual notation.

17.   A steel bar ABC having 30mm diameter and 700mm length of AB and 16mm diameter 450mm length of BC is rigidly held between two supports at A & C. if the temperature is raised by 30° Celsius. Determine the stresses developed in part AB & BC. Take E=200 GPA and α=12x 10-6.

18.   Define (1) Lateral strain (2) Bulk modulus (3) Poisson’s Ratio

19.   Draw stress-strain curve for mild steel specimen, explain each point in detail.

20.   Write the assumption made in theory of pure torsion.

21.   A solid circular shaft of 120mm diameter is running at 170 RPM, if the maximum shear stress in shaft should not exceed 80 Mpa. Calculate the power transmitted by the shaft. Also calculate the angle of twisting per meter length of shaft. If G= 80Gpa.

22.   Define (1) Principal plane (2) Principal stress (3) Neutral axis.

23.   Define (i) Couple (ii) Moment (iii) Equilibrant

24.   State Hook’s low. Draw stress strain curve for Mild Steel Specimen and 4 explain each point in detail

25.   A Reinforced concrete column is applied 700 kN load. Size of column is 300 7 mm X 400 mm, and it is reinforced with 6 bars of 16 mm dia. Determine load taken by concrete and steel.

26.   A 2.8 m long member is 60 mm deep and 40 mm wide. It is subjected to axial tensile force 210 kN. Determine change in dimension and in volume. Take E=200 Gpa and µ = 0.3

27.   A simply supported beam 5 m in span carries udl of 20 kN/m. The croos section 4 of beam is I section. It is having flange dimension 200 X 20 mm. The thickness of web is 20 mm, depth 260 mm and overall depth of I section is 300 mm. Calculate maximum stresses.

A simply supported beam 6 m in span carries udl of 18 kN/m. The croos- section of beam is hollow rectangular section with outer dimension 250 X 400 mm and 25 mm thick. Determine shear stress at various locations.