This is a B.Tech (Semester III) Theory Examination paper from the academic year 2018-19 for the subject Mechanics of Solids1.
Subject Code: RME303 2
Total Marks: 70 3
Duration: 3 Hours 4
Section Breakdown
Section A (Short Answer Questions)
Contains 7 questions worth 2 marks each ($14$ marks total)5.
Topics Covered:
Difference between section modulus and flexural rigidity6.
Explanation of autofrettage7.
Comparison of bending in straight vs. curved beams8.
Strain energy vs. shear strain energy9.
Analysis of closed vs. open coiled springs10.
Definitions of shear center and slenderness ratio11.
Section B (Analytical Problems)
Requires attempting 3 out of 5 questions worth 7 marks each ($21$ marks total)12121212.
Key Problems:
Analyzing fixing moments for a continuous beam (ABCDE) with various loads (diagram included)13.
Deriving the differential equation for a deflection curve14.
Calculations for a close coiled helical spring subjected to axial torque 15.
Determining the maximum load for a wire rope lift system 16.
Stress analysis of a timber beam reinforced with steel flitches 17.
Section C (In-depth Problems)
Contains 5 questions (Questions 3–7), where students must attempt one part from each. Each is worth 7 marks ($35$ marks total)
Key Topics & Diagrams:
Thermal Stresses: Calculating stress in a steel tube and copper rod assembly due to temperature change19.
Stress Components: Analyzing a rectangular block subjected to tensile forces (diagram included) 20.
Torsion & Deflection: Calculating shear stress in a rotating shaft or beam deflection (diagram included) 21.
Columns & Springs: Eccentric loading on a hollow circular column or deflection in open coiled springs 22.
Cylinders: Wall thickness for a hydraulic press or hoop stress in a thick cylinder 23.
Advanced Bending: Stresses in an angle cantilever (diagram included) or bending stress in a curved beam with rectangular cross-section (diagram included) 24.
Visual Elements
The document contains several engineering diagrams to support the problems:
A continuous beam with point and distributed loads25.
A rectangular block showing tensile forces along different axes26.
A cantilever angle section ($75mm \times 75mm$)27.
A curved beam geometry28.
