Janardan Rai Nagar Rajasthan Vidyapeeth 2006 B.Tech Aeronautical Engineering ADVANCE STRENGTH OF MATERIAL - Question Paper

Model Question Paper

BTAE3 ADVANCE STRENGTH OF MATERIAL

Time : 3 hrs Maximum marks : 75

 

Instruction:

1. Question paper is divided into Group A, Group B and Group C

2. Each Group is 25 Marks

3. Figure to the right in bracket indicates marks.

4. Good Handwriting is expected

5. Assume suitable data if necessary.

 

Group A (25 Marks)

 

Answer any three questions (Question 1 is compulsory)

	(5)

 

Q.1 What are the various types of springs? Distinguish clearly between bending spring and torsion spring

Q.2. Obtain a relation for the stress induced in a body, if a load P is applied with an impact.

Q.3. Derive a relation for the Eulers crippling load for a column when it has both ends

hinged.

Q.4. Derive a relation between modulus of elasticity and modulus of rigidity.

Q.5. Prove t/R=Cq/L in case of torsion of a circular shaft.

 

GROUP B ( 25 Marks)

Answer any three questions (Question 6 is compulsory)

 

Q.6. Write notes on 1.point of contraflexture 2.principle of superposition.

Q.7. An alloy hollow circular column of 200mmexternal and 160mm internal diameter

is 5m long and fixed at its both ends.It is subjected to a load of 120KN at an

eccentricity of 20mm from the geometrical axis; Determine the maximum stress induced in the column section.Take E as 120GPA

Q.8 Hollow steel shaft of 300mm external diameter and 200mm internal diameter has

to be replaced by a solid alloy shaft. Assuming the same values of polar modulus

for boh calculate the diameter of the latter and work out the ratio of their torsional rigidities, take C for steel as 2.4C for alloy.

Q.9 A simply supported beam 6M long is carrying a uniformly distributed load of

5KN/M over a length of 3M from the right end. Draw the S.F.and B.M. diagrams calcuate the maximum B.M. on the section.

Q.10 An open coil helical spring made up of 10mm diameter wire and of mean diameter

of 100mm has 12 coils angle of helix being 15Determine the axial deflection and the intensities of bending and shear stresses under an axial load of 500N. Take C as 80GPA and E as 200GPA.

GROUP C (25 Marks)

11 (A) Fill in the blanks (Each question carries 2 Marks ): (10)

 

1. Modulus of elasticity is the ratio of -----------------------------

2. The ratio of lateral strain to the linear strain is called -----------------------

3. The total strain energy stored in a body is known as -----------------------

4. A simply supported beam carries a point load at its center. The deflection at its supports is ---------------------------------

5. Polar moment of inertia of a solid shaft of diameterD is --------------------------

 

B) Choose the best answer (Each question carries 2 Marks ): (10)

 

1. In a leaf spring maximum bending stess developed in the plates is

a. Wl/nbt² b. 2Wl/nbt²

c. 3Wl/nbt² d. 3Wl/2nbt²

 

2. The slenderness ratio of a long column is

a.10-20 b 20-30

c.50-60 d.above 80

3. In a thin shell the ratio of longitudinal stress to the circumferential stress is

a. 1/2 b.3/4

c.1 d.2

 

4. When shear force at a point is zero then B.M. at that point will be

a. zero b. minimum

c. maximum d.infinity

 

5. The B.M. at the center of a simply supported beam carrying a udl is

a.Wl b.Wl/2 c.Wl²/4 d.Wl²/8

 

( c ) State true or false (Each question carry 1 Mark ): (5 )

 

1. The maximum stress produced in a bar of tapering section is at smaller end.

2. A composite section contains 4 different materials. The stresses in all the different materials will be equal

3. The proof resilience per unit area is called modulus of resilience.

4. When a solid shaft is subjected to torsion the shear stress induced in the shaft at its center is zero.

5. The planes carrying direct stress and shear stress is called principal planes.