SOM Question Bank PDF

**Question Bank of Chapter 1** 1\) Define: i) Moment of Inertia and state its unit ii) Radius of Gyration. 2\) State Parallel axis theorem and perpendicular axis theorem. 3\) Calculate the moment of inertia of a hollow rectangle about an axis passing through base 200 mm size. The internal dimensi...

**Question Bank of Chapter 1** 1\) Define: i) Moment of Inertia and state its unit ii) Radius of Gyration. 2\) State Parallel axis theorem and perpendicular axis theorem. 3\) Calculate the moment of inertia of a hollow rectangle about an axis passing through base 200 mm size. The internal dimension and external dimensions of rectangle are 160 mm × 260 mm and 200 mm × 300 mm respectively. 4\) A hollow circular section with 200 mm external and 100 mm internal diameter. Using parallel axis theorem, Calculate M.J. about any of its tangent. 5\) A symmetrical I-section of overall depth of 300 mm has its flanges 150 mm × 10 mm and web 10 mm thick. Calculate moment of inertia about XX and YY centroidal axes. 6\) An isosceles triangular section ABC has base width 80 mm and height 60 mm. Determine M.I. of the section about c.g. of the section and the base. 7\) Find M.I. of an equilateral triangle of side 3 m about its apex point and base line. **Chapter 4** 1\) State assumptions made in the theory of simple bending. 2\) State the condition for no tension in section. 3\) Define core or kernel of section. 4\) Draw a neat sketch to show core of rectangular section of (B × D) dimensions. 5\) Draw shear stress and bending stress distribution diagram for hollow rectangular beam section. 6\) Define core of section and show it for solid circular section of dia. \'D\'. 7\) A simply supported beam of span 3 m carries a udl of 1000 N/m throughout the span. Calculate the modulus of section if the allowable bending stress for the material is 9 Mpa. 8\) A timber beam is 100 mm wide and 200 mm deep. It is simply supported over a span of 6 m. It carries an udl of 12 KN/m on full span and a central point load of 4 KN acting downwards. Calculate maximum bending stress developed in the beam and draw bending stress distribution diagram. 9\) A cast iron pipe having 800 mm external diameter and 700 mm internal diameter is used to pass the hydraulic oil. The pipe is simply supported at both the ends having length 7.5 m. Calculate the intensity of uniformly distributed load that pipe can carry. Assuming bending stress in pipe material is 140 N/[mm^2^]{.math.inline}. 10\) A hollow rectangular section of 40 mm × 80 mm in inside dimensions and 60 mm × 120 mm outside dimensions subjected to shear force of 50 KN. Draw shear stress variation diagram and find the maximum shear stress induced in the section. 11\) A rectangular beam 100 mm wide × 200 mm deep is subjected to shear force of 60 kN. Calculate the shear stresses induced on a layer at 50 mm above N. A. and 25 mm below N.A.. Sketch the shear stress distribution. 12\) A rectangular beam is 60 mm wide and 160 mm deep of span 5 m. It is mainly supported and it carries a concentrated point load of 40 KN acting towards at mid-span. Find maximum shear stress induced in the beam section.