Diploma Strength of Materials Important Questions
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Subject : Strength of Materials Scheme : N
UNIT – 3, GEOMETRICAL PROPERTIES OF SECTIONS AND THIN SHELLS.
1. The highlighted Questions are asked more than two times in the Board Exam
2. These Questions are collected from Board Examination Question Papers ( M Scheme)
3 marks questions
- Define center of gravity
- Define moment of inertia
- Distinguish between thin and thick cylinders.
- Define centroid.
- State parallel axis theorem.
- A boiler 2.8m diameter is subjected to a steam pressure of 0.68N/mm^2. Find the hoop stress and longitudinal stress, if the thickness of the boiler plate is 10mm.
- State perpendicular axis theorem.
- Derive moment of inertia for rectangular area.
- Define neutral axis.
- Distinguish between centre of gravity and centroid.
- List out the stresses, induced in thin cylindrical shells
- What is centroidal axis and axis of reference?
- Define thin cylindrical shell.
- A steel penstock of 1.5m diameter and 15mm thick is subjected to an internal pressure of 15bar. Calculate the hoop stress and longitudinal stress at the bottom of the penstock.
14 marks questions.
- An angle section is of 100mm wide and 120mm deep overall. Both the flanges of the angle are 10mm thick. Determine the moment of inertia about the centroidal axes X – X and Y – Y.
- A spherical shell of 1m internal diameter and 5mm thick is filled with a liquid under pressure until its volume increase by 0.2×10^6 mm^3. Determine the pressure exerted by the liquid on the shell. Take E=2×10^5 N/mm^2 and 1/m = 0.3.
- Find Ixx, Iyy, Kxx and Kyy of a ‘T’ section with flange 150mm x 20mm and web 100mm x 20mm.
- Calculate the increase in volume of a boiler shell 3m long and 1.5m in diameter when subjected to an internal pressure of 2N/mm^2. The thickness is such that the maximum tensile stress is not to exceed 30N/mm^2. Take E=2.1×10^5 N/mm^2 and 1/m=0.28. also calculate the changes in diameter and length.
- An I-section has the top flange 100mm x 15mm, web 150mm x 20mm and the bottom flange 180mm x 30mm, calculate Ixx, Iyy and also radius of gyration about the centroid axes.
- A cylinder shell 3m long 500mm in diameter is made up of 20mm thick plate. If the cylinder shell is subjected to an internal pressure of 5N/mm^2, find the resulting hoop stress, longitudinal stress, change in length and change in volume. Take E=2×10^5 N/mm^2 and 1/m = 0.3.
- A long steel tube 70mm internal diameter and wall thickness 2.5mm has closed ends and subjected to an internal pressure of 10N/mm^2. Calculate the magnitude of hoop stress and longitudinal stress setup in the tube. If the efficiency of the longitudinal joint is 805, state the stress which is affected and what is its revised value?
- Find the centeroid of an I section having top flange 150mm x 25mm, Web 160mm x 25mm and bottom flange 200mm x 25mm
- Determine the change in diameter and change in volume of spherical shell 2m in diameter and 12mm thick subjected to an internal pressure of 2 N/mm^2. Assume E=2×10 N/mm^2 and poisson’s ratio = 0.25.
- Find Ixx and Iyy of an angle section having flange of 100mm x 10mm size and web of 100mm x 10mm thick.
- A spherical shell of 1.5m diameter and wall thickness of 10 mm. determine the change in diameter and increase in volume when it is subjected to an internal pressure of 2N/mm^2. Take E= 2×10^5 N/mm^2, 1/m = 0.3.
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