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InsemOct 20232019 patternSE Mech

Solid Mechanics (SM) SPPU Insem Question Paper Oct 2023

All 4 questions from this SPPU insem paper, as printed. Read them here or open the PDF.

Open the PDFMost repeated SM questions
Subject code
202041
Pattern
2019 pattern
Exam
Insem
Session
Oct 2023
Max. marks
30
Time
1 Hour
Semester
III
Paper code
[6186]-560

Printed for: S.E. (Automobile & Mechanical / Mechanical Sandwich / Automation

Instructions to the candidates

  1. Answer Q.1 or Q.2, Q.3 or Q.4.
  2. Figures to the right indicate full marks.
  3. Use of electronic pocket calculator is allowed.
  4. Assume suitable data if necessary.

Questions

  1. Q1

    1. a)

      This part has equations that don’t show as text. Open the PDF to read it.

      [7]
    2. b)

      A steel rod 2 m long is at 30ºC. The temperature of this rod is increased to 150ºC find. i) Free expansion of the rod 2 ii) Temperature stress produced if expansion is prevented and nature of stress. iii) Stress produced if 2 mm expansion is permitted and nature of stress if α = 12×10 –6 /ºC and E = 200 GPa, Bar diameter = 16mm.

      [8]

  2. Q2

    1. a)

      Two vertical rods one of steel and one of bronze suspended at a distance of 600 mm apart. Each rod is 3 m long, 12 mm in diameter as shown in Fig. A horizontal cross bar connect the lower ends of the rod on it placed a load of 4500 N so that cross bar remains horizontal. Find the position of the load on the cross bar and stresses in each rod. E steel =1.96×10 5 MPa, E bronze = 0.63×10 5 MPa.

      [7]
    2. b)

      In a tensile test on steel tube of external diameter 18 mm and internal diameter 12 mm, an axial pull of 2kN produces stretch of 6.72×10 –3 mm in a length of 100 mm and lateral contraction of 3.62×10 –4 mm in an outer diameter. Calculate the values of three Modulii and Poisson’s ratio of material.

      [8]

  3. Q3

    1. a)

      A simply supported beam AE is loaded as shown in Fig. Draw shear force and bending moment diagram indicating maximum bending moment and determine its value. 3

      [7]
    2. b)

      For an overhanging beam as shown in Fig. Draw shear force and bending moment diagram. Determine the point of contraflexure within the span AB.

      [8]

  4. Q4

    1. a)

      Draw shear force and bending moment diagram of a cantilever beam AB of 4 m long having fixed end at ‘A’ and loaded with uniformly distributed load of 2 kN/m up to 2 m from end B and with a concentrated load of 3 kN at 1 m from end A.

      [7]
    2. b)

      An overhanging beam loaded and supported as shown in Fig. Draw shear force and bending moment diagram. Also find the point of contraflexure if any. 

      [8]