Hall Ticket No Question Paper Code: AAE002
INSTITUTE OF AERONAUTICAL ENGINEERING
(Autonomous)
B.Tech III Semester End Examinations (Regular) December, 2017
Regulation: IARE R16
THEORY OF STRUCTURES
(Aeronautical Engineering)
Time: 3 Hours Max Marks: 70
Answer ONE Question from each Unit
All Questions Carry Equal Marks
All parts of the question must be answered in one place only
UNIT I
1. Explain shear force conventions in a beam with neat sketches.
Find the maximum shear stress induced in solid circular shaft of diameter 15cm when shaft
transmits 150kW power at 180 rpm.
2. Define torsional rigidity? Draw shear force and bending moment diagram for the cantilever beam of
length L carrying a point load W at its free end.
UNIT II
3. A rectangular beam 200 mm deep and 300 mm wide is simply supported over a span of 8m.
What UDL per meter beam may carry if the bending stress not exceed 120 N/mm2.
A beam is square section of side if the permissible bending stress Find moment of
resistances when beam section is placed such that two sides are horizontal.
4. A circular beam of 100mm diameter is subjected to shear force of 5 kN. Calculate
Average shear stress
max. Shear stress
shear stress at a position of 40mm from neutral axis.
UNIT III
5. Derive the slope and deflection at tip of cantilever beam for carrying UDL of per meter over
a span of using moment area method.
A beam of length 6m is simply supported at its ends and carries two point loads 48kN and 40kN
at a distance of 1m and 3m respectively from left support. Given E=200GPa, I=85x106 mm4.
Find deflection under 48kN load and 40kN load using Macaulay method.
6. Derive the expression for crippling load when both the ends of the column are hinged.

External and internal diameters of hollow cast iron column are 5 cm and 4 cm respectively. If
length of this column is 3m and both of its ends are fixed, determine crippling load using Rankines
formula. Take c=550N/mm2 and =1/1600 in Rankines formula
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UNIT IV
7. Determine the forces in truss as shown in Figure 1 which carries a horizontal load of 12kN and a
vertical load of 18kN.
Figure 1
8. Distinguish statically determinate and redundant structures.
Define order of redundancy.
UNIT V
9. Derive equilibrium equations for 3 dimensional solid body subjected to external forces.
10. Derive an expression for normal and tangential stresses on a oblique plane of a rectangular member
when it is subjected to two directive stresses perpendicular to each other. Also determine an angle of
obliquity.