Exam Details

Subject Strength of Materials
Paper
Exam / Course B.Tech in Aerospace Engineering (BTAE)
Department School of Engineering & Technology (SOET)
Organization indira gandhi national open university
Position
Exam Date December, 2015
City, State new delhi,


Question Paper

1. Define bulk modulus, modulus of elasticity and modulus of rigidity. Derive the relationship between these three moduli.

2. A steel rod of 60 mm diameter and 1 m long is encased by a cast iron sleeve 8 mm thick and of internal diameter 60 mm. This assembly of composite section is under a load of 40 kN (tensile). Find the stresses in two materials and elongation of the composite assembly. Take E for steel 200 GPa and E for cast-iron 100 GPa. Give a neat sketch of the assembly.

3. A steel rod, 20 mm diameter and 1·5 m long, is constrained between supports A and B as shown in Figure 1. The material is stress-free at 27°C. Determine the stress in the material when the temperature increases to 50°C for the following conditions:

If the supports are unyielding.

If the support B yields by 0·1 mm outwards. Take E for steel 200 GPa and a for steel 12 x

<img src='./qimages/13181-3.jpg'>

4. Draw the BMD and SFD for the beam shown in Figure 2.

<img src='./qimages/13181-4.jpg'>

Define the terms section modulus and flexural rigidity.

A rectangular section, 200 mm wide and 400 mm deep, is used as a beam. Find the maximum moment carrying capacity of this beam so that the permissible stress of 50 MPa is not exceeded in the material.

6. A short bar of rectangular section 25 mm x 50 mm is subjected to an axial compressive force of 50 kN. Find the stresses (normal and shear) on the plane AB shown in Figure 3.

<img src='./qimages/13181-6.jpg'>

7. For the composite beam section shown in Figure determine the maximum central concentrated load, if this section is used as a beam of 800 mm span (simply supported).

Take permissible stresses in steel and brass as 120 MN/m^2 and 80 MN/m^2 respectively and modulus of elasticity for steel Es 200 GN/m^2. and for brass Eb =100 GN/m^2.

<img src='./qimages/13181-7.jpg'>

Describe the Castigliano's first and second theorems.

A solid circular shaft is 4 m long and has a diameter of 80 mm. Find the torsional strain energy stored in it when it is subjected to a torque of 200 Nm. Take modulus of rigidity, 80 GPa.

Draw the typical shapes of BMD and SFD for the following:

<img src='./qimages/13181-9a-i.jpg'>

Cantilever beam subjected to UDL

<img src='./qimages/13181-9a-ii.jpg'>

Cantilever beam subjected to point load at free end

What are the assumptions made in the theory of simple bending?

10.(a) Define any two of the following:

Limit of proportionality and Elastic limit

Brittle material and Ductile material

Principal plane and Principal stress

Describe the 'shear centre'.


Departments

  • Centre for Corporate Education, Training & Consultancy (CCETC)
  • Centre for Corporate Education, Training & Consultancy (CCETC)
  • National Centre for Disability Studies (NCDS)
  • School of Agriculture (SOA)
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Subjects

  • Aerodynamics- I
  • Aerodynamics- II
  • Aircraft Design/Launch Vehicle/ Rocket Design
  • Aircraft Instruments
  • Aircraft Safety and Maintenance Engineering
  • Aircraft Structures
  • Aircraft Systems And Airworthiness Requirements
  • Applied Chemistry
  • Applied Physics
  • Basic Control Theory
  • CNS-ATM system
  • Composite Materials
  • Computer Fundamentals
  • Engineering Drawing
  • Environmental Science
  • Flight Mechanics
  • High Speed Aerodynamics
  • Instruction To Computer Play Device
  • Introduction to Aeronautics
  • Introduction To Rocket And Missiles
  • Mechanics Design
  • Propulsion- I
  • Propulsion- II
  • Rocket Propulsion
  • Space Dynamics
  • Strength of Materials
  • Technical Writing and Communication Skills
  • Workshop Technology