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'.
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'.
Other Question Papers
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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