Mechanics Of Materials Question Paper of 3rd Semester AE Download Previous Years Question Paper 11

Roll No. ......................

Total No. of Questions : 09]

B. Tech. (Sem. – 3rd)

MECHANICS OF MATERIALS

SUBJECT CODE : BTAE-304

Paper ID : [A1149]

Time : 03 Hours

Instruction to Candidates:

1. SECTION-A is COMPULSORY consisting of TEN questions carrying

TWO marks each.      

2. SECTION-B contains FIVE questions carrying FIVE marks each and

students has to attempt any FOUR questions.

3. SECTION-C contains THREE questions carrying TEN marks each and

students has to attempt any TWO questions.

SECTION-A

1.       

a.     What are the applications of arc welding?

b.     What are common welding defects?

c.      What is moulding?

d.     Define core and core prints?

e.      Define rolling?

f.       What is jig boring?

g.     Define up milling?

h.     What is the principle of electric discharge machining?

i.       Write down the properties of dielectric fluid?

j.       Define chemical machining?

Section-B

2.     What is electrode covering and why it is provided?

3.     Explain the difference between TIG and MIG welding?

4.     Describe the different types of pattern and materials used for making them in brief.

5.     Differentiate between surface and centre less grinding ?

6.     Explain the working principle of abrasive water jet machining with the help of neat sketches?

Section-C

7.     With the help of neat sketches, explain the geometry of a single point cutting tool? Also explain what is tool signature?

8.      

a.     What is directional solidification? Discuss the methods to make the solidification directional?

b.     Differentiate between hot and cold rolling?

9.        

a.     Explain the working of a plasma arc welding?

b.     Describe the various elements of a gating and riser system?

  

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Mechanics Of Materials Question Paper of 3rd Semester AE Download Previous Years Question Paper 10

Roll No. ......................

Total No. of Questions : 09]

B. Tech. (Sem. – 3rd)

MECHANICS OF MATERIALS

SUBJECT CODE : BTAE-304

Paper ID : [A1149]

Time : 03 Hours

Instruction to Candidates:

1. SECTION-A is COMPULSORY consisting of TEN questions carrying

TWO marks each.      

2. SECTION-B contains FIVE questions carrying FIVE marks each and

students has to attempt any FOUR questions.

3. SECTION-C contains THREE questions carrying TEN marks each and

students has to attempt any TWO questions.

SECTION-A

l. Answer briefly :

(a) For what purpose cores are used in a casting process?

(b) What is the main advantage of centrifugal casting?

(c) What is the difference between welding and brazing processes ?

(d) Name two industrial applications of spot welding.

(e) What is the main difference between hot rolling and cold rolling ?

(f) What is the significance of nose angle in a single point cutting tool ?

(g) What is the difference between boring and drilling operations ?

(h) Discuss the significance of the term ‘‘centre less’’ in centre less grinding.

(i) What is the main advantage of LBM process ?

(j) What is the fundamental difference between EDM and ECM

process ?

SECTION-B

2. What is a pattern ? Briefly discuss the various allowances associated with

patterns.

3. What is SAW process? Discuss its underlying principle, benefits and

limitations.

4. Discuss what is meant by deep drawing ? Discuss the main applications

and the underlying principle involved in this process.

5. What is the principle and purpose of cylindrical grinding? Discuss the

main benefit of this process.

6. Discuss the main principle, brief procedure and applications of Abrasive Water Jet Machining.

SECTION-C

7. With a neat and labelled diagram, explain the underlying principle, procedural steps to use, advantages and limitations of sand casting process.

8. Name the various commonly occurring welding defects during the use of

electric arc welding processes. Discuss their causes and remedial measures to be adopted to eliminate them.

9. Discuss the working principle and applications of Chemical Machining

process.

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Mechanics of Materials Question Paper of 3rd Semester AE Download Previous Years Question Paper 9

Roll No. ......................

Total No. of Questions : 09]

B. Tech. (Sem. – 3rd)

MECHANICS OF MATERIALS

SUBJECT CODE : AE – 201

Paper ID : [A0701]

Time : 03 Hours

Instruction to Candidates:

1) Section - A is Compulsory.       

2) Attempt any Four questions from Section - B.

3) Attempt any Two questions from Section - C.

Section - A

1.              

a.     Giving the mathematical formula, define the modulus of elasticity.

b.     Why is a spherical shaped pressure vessel preferable over cylindrical shapes?

c.      Define ‘Pure Bending’ of a beam.

d.     Draw (only draw) the variation of shear stress in a circular shaft under torsion.

e.      Defining all the variables, give the mathematical form of Rankine formula used in columns.

f.       What is the difference between the closed coiled and open coiled helical springs?

g.     What is the difference between a strain energy and proof resilience?

h.     Define column.

i.       Write the expression for Castiglione’s theorem.

j.        

Section –B

2.     Draw and explain the stress-strain curve for ductile materials.

3.     An cylinder is 4m long 0.9 in diameter and 14 mm thick at atmospheric pressure. Calculate the dimensions when subjected to an internal pressure of 2 MPa. What is then the maximum shear stress in the shell?

4.     Derive an expression of buckling load for column with one end fixed and the other end hinged.

5.     A hollow shaft of diameter ratio 3/5 is required to transmit 800Kw at 120rpm, the maximum torque being 25% greater than the mean. The shear stress in not to exceed 65 MPa and the twist in a length of 3m is not to exceed 1.4 degrees. Calculate the minimum external diameter satisfying these conditions.

6.     Assuming all the parameter, derive an expression for strain energy due to bending for a beam of length, l.

Section-C

7.     A vertical tie rod rigidly fixed at the top end consists of a steel rod 3 m long and 21 mm diameter is encased throughout in a brass tube 21 mm internal diameter and 30mm external diameter. The rod and the casing are fixed together t both ends. The compound bar is suddenly loaded in tension by a weight of 10 kN falling through 3 mm before being arrested by the tie. Calculate the maximum stresses in steel and brass. Take the young modulus for steel and brass as 200 GPa respectively.

8.     Calculate the spring constant and total elongation of two springs which are connected in series. One spring having 16 turns of 1 mm wire radius and 22 mm mean diameter is connected to other spring having 12 turns of 2 mm wire diameter and 13 mm mean diameter. Also calculate the safe axial load, if the maximum stress in both springs in less than 400 N/mm² . take G=8 x 10⁵ N/mm²

9.     A beam 8.5 m long rests on supports 5 m apart. The right hand end overhanging its support by 2m end left hand end by 1.5m. the beam carries a uniformly distributed load 20 kN/ m run between the supports only. The beam also carries a point load of 60 kN the extreme right hand end, and a point load of 40Kn at the left hand end. Construct the shear force and bending moment diagrams stating  there on all the important values of shear force and bending moment. State the position of the points of inflexion on the beam.   

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Mechanics of Materials Question Paper of 3rd Semester AE Download Previous Years Question Paper 8

Roll No. ......................

Total No. of Questions : 09

B. Tech. (Sem. – 3rd)

MECHANICS OF MATERIALS

SUBJECT CODE : BTAE-301

Paper ID : [A1112]

Time : 03 Hours

Instruction to Candidates:

1. SECTION-A is COMPULSORY consisting of TEN questions carrying

TWO marks each.

2. SECTION-B contains FIVE questions carrying FIVE marks each and

students has to attempt any FOUR questions.

3. SECTION-C contains THREE questions carrying TEN marks each and

students has to attempt any TWO questions.

SECTION-A

1.       

a.     What is maximum shear stress theory?

b.     What do you mean by longitudinal stress in a thin cylinder?

c.      What do you mean by ‘simple bending’ or ‘pure bending’?

d.     Draw stress-strain diagram for ductile materials?

e.      What is ‘equivalent length of a column?

f.       What do you mean by Lame’s equations?

g.     What do you mean by Section Modulus?

h.     What are different types of loads?

i.       Define total strain energy theory?

j.       What are limitations of Euler’s formula for columns and struts?

k.      

Section-B

2.     Prove that the bending stresses in any fibre are proportional to the distance of that fibre form neutral layer in a beam.

3.     A steel rod of 20mm diameter passes centrally through a copper tube of 50mm external diameter and 40mm internal diameter. The tube is closed at each end by rigid plates of negligible thickness. The nuts are tightened lightly home on the projecting parts of the rod. If the temperature of the assembly of the assembly is raised by 50 °C , calculate the stresses.

Developed in copper and steel. Take E for steel and copper as 200GN/m² and 100 GN/m² and a-for steel and copper as 12x 10^-6 per °C 18x 10^-6 per °C

4.     Derive an expression for the slope and deflection of a cantilever of length L, carrying a point load W at the free end by double integration method.

5.     What is equivalent length of a column? What are the important end conditions for a column? Explain them

6.     Derive the bending equation? Also state assumptions made of derivation of bending equation?

Section –C

7.     Derive the relation for a circular shaft when subjected to torsion.

8.     Calculate the safe compressive load on  a hollow cast iron column (one end rigidly fixed and other hinged) of 15 cm external diameter, 10 cm internal diameter and 10 cm in length. Use Euler’s formula with a factor of safety of 5 and E=95KN/mm².

9.     A beam of square section is used as a beam with one diagonal horizontal. The beam is subjected to a shear force F, at a section. Find the maximum shear in the cross-section of the beam and draw the shear distributions diagram for the section.

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Mechanics of Materials Question Paper of 3rd Semester AE Download Previous Years Question Paper 7

Roll No. ......................

Total No. of Questions : 09]

B. Tech. (Sem. – 3rd)

MECHANICS OF MATERIALS

SUBJECT CODE : AE – 201

Paper ID : [A0701]

Time : 03 Hours

Instruction to Candidates:

1. SECTION-A is COMPULSORY consisting of TEN questions carrying

TWO marks each.      

2. SECTION-B contains FIVE questions carrying FIVE marks each and

students has to attempt any FOUR questions.

3. SECTION-C contains THREE questions carrying TEN marks each and

students has to attempt any TWO questions.

SECTION-A

1. Answer briefly :

(a) Define Poisson’s ratio.

(b) What are principle stress plane?

(c) Define the point of contra-flexure.

(d) Explain section modulus of twisting.

(e) Explain the term flexural rigidity.

(f) Explain the different types of failures occurring in column and struts.

(g) Write the stiffness of springs connected in series and parallel mode.

(h) A thin cylinder is subjected to internal pressure only; determine the

principal stresses induced in the cylinder in usual symbols.

(i) Write the relationship between moment, slope and deflection.

(j) Why hollow shafts are preferred over the solid shaft for power

transmission?

SECTION–B

2. A bar of steel 250 mm long of rectangular cross-section 25 mm (depth)

by 50 mm (width) is subjected to a uniform tensile stress of 200 MPa along its length. Find the change in its dimensions. E = 205 GPa and Poisson’s ratio is 0.3.

3. A cantilever beam of 4 m span is loaded by a UDL of 20 kN/m over its

whole span. It is also loaded by two point loads of 30 kN and 20 kN at a distance of 1 m and 2 m from the free end respectively. Draw the Bending Moment Diagram and Shear Force Diagram for the beam.

4. A steel specimen 150 mm2 in cross-section elongates 0.05 mm over a

50 mm gauge length under an axial load of 30 kN. Calculate strain energy stored in the specimen at this point. If the load at the elastic limit for the specimen is 50 kN, calculate the elongation at elastic limit and its energy at this point also.

5. A two dimensional state of stress at a point is given by x = 20 MPa,

y = 10 MPa and _xy = 25 MPa. Determine the direction and magnitude of the principal stresses in the material. Also locate the plane of maximum shear stress and their magnitude.

6. A closed coiled helical spring 100 mm mean diameter is made of 20 turns

of 10 mm diameter steel rod. The spring carries an axial load of 100 N. Find the shear stress and the axial deflection of the spring. Assume G = 84 GPa.

SECTION–C

7. A solid shaft is to transmit 300 kW at 100 rpm. If the shear stress is not

to exceed 80 MPa, find the diameter of the shaft. What percentage saving in the weight would be obtained if this shaft is replaced by a hollow one whose internal diameter equals 0.6 of the external diameter? The length, material and maximum shear stress being the same.

8. Prove that the central deflection for a fixed beam at its both ends

(of span l) and of uniform cross-section carrying a UDL w per unit length is (wl4)/384EI.

9. Compare the crippling loads given by Rankine’s and Euler’s formulae for

tubular struts 2250 mm long having outer and inner diameter of 37.5 mm

and 32.5 mm respectively. Assume both ends hinged for the column, yield

point stress as 315 MPa,  = 1/7500 and E = 200 GPa. If elastic limit

for the material is taken as 200 MPa, below what length of the strut does

the Euler formula ceases to apply?

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Mechanics of Materials Question Paper of 3rd Semester AE Download Previous Years Question Paper 6

Roll No. ......................

Total No. of Questions : 09]

B. Tech. (Sem. – 3rd)

MECHANICS OF MATERIALS

SUBJECT CODE : BTAE-301

Paper ID : [A1112]

Time : 03 Hours

Instruction to Candidates:

1. SECTION-A is COMPULSORY consisting of TEN questions carrying

TWO marks each.

2. SECTION-B contains FIVE questions carrying FIVE marks each and

students has to attempt any FOUR questions.

3. SECTION-C contains THREE questions carrying TEN marks each and

students has to attempt any TWO questions.

SECTION-A

1. Write briefly :

(a) What do you mean by Poisson’s Ratio?

(b) Define Hoop Stress and Longitudinal Stress.

(c) Write down the formula of power transmitted by hollow shaft subjected

to pure torsion.

(d) What do you understand by Principle Stress?

(e) Define Slenderness Ratio.

(f) What do you mean by Temperature Stress?

(g) What do you understand by Fletched beam?

(h) State Maximum shear stress theory of failure.

(i) Define shear stress. Write the formula of maximum shear stress in a

circular section beam.

(j) Calculate the maximum bending moment in a simply supported beam

of length 5m and carrying a concentrated load of intensity 10 N at the centre.

SECTION-B

2. Draw the shear force diagram and bending moment diagram for a simply

supported beam having uniformly distributed load over its whole span.

3. A thin cylinder 2m long. 0.5 m in diameter and made out of 10 mm thick

steel plate is subjected to an internal pressure of 2MPa. Calculate the change in diameter and change in length under pressure. Take Young’s Modulus as 200GPa and Poisson’s Ratio 0.25.

4. Show that the elongation of conical bar of length ‘L’ and base diameter

‘D’ under its own weight is given by gL2/6E. Where. E is Young’s

Modulus, density of material is  and g is acceleration due to gravity.

5. A hollow circular shaft is required to transmit 500 kW of power at

100 rpm. Determine, the diameters of shaft if the inside diameter is

0.8 times the outside diameter. Take allowable shear stress as 75 MPa.

6. Derive an expression for the crippling load for a both end fixed column,

according to Euler’s theory. State the assumptions made.

SECTION-C

7. A solid circular shaft is required to carry a torque of 40 kNm and a

bending moment of 30 kNm. If yield stress in a simple tensile test on the

material of the shaft was found to be 260 N/mm2. Find the minimum

required diameter of the shaft according to

(a) shear stress theory

(b) von-Misses Theory

Take a factor of Safety = 2.5.

8. A beam simply supported over a span of 10 m carries concentrated loads

of 40 kN. 20 kN and 60 kN at 2m. 5m and 9m from the left end

support. Determine the position and amount of maximum deflection in the

beam by using Macaulay’s Method. Take I = 695 × 10⁶ mm⁴ and

E = 200 GPa

9. What do you mean by pure Bending? Derive the Bending equation for a

straight beam subjected to pure bending i.e. . Also write the assumptions made in the deriving the bending equation.

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Mechanics of Materials Question Paper of 3rd Semester AE Download Previous Years Question Paper 5

Roll No. ......................

Total No. of Questions : 09]

B. Tech. (Sem. – 3rd)

MECHANICS OF MATERIALS

SUBJECT CODE : AE – 201

Paper ID : [A0701]

Time : 03 Hours

Instruction to Candidates:

1. SECTION-A is COMPULSORY consisting of TEN questions carrying

TWO marks each.

2. SECTION-B contains FIVE questions carrying FIVE marks each and

students has to attempt any FOUR questions.

3. SECTION-C contains THREE questions carrying TEN marks each and

students has to attempt any TWO questions.

SECTION-A

1. (a) Define Poisson’s ratio.

(b) List the assumptions taken in the development of theory of simple

bending.

(c) What is the difference between a closed and an open helical

spring ?

(d) Define Buckling factor.

(e) Why are spherical pressure vessels preferred over cylindrical shapes?

(f) What is ‘Wahl factor” used in analysis of springs ?

(g) State Castiglione’s theorem.

(h) Draw the variation of shear stress in a circular shaft under torsion.

(i) What is the difference between a strut and a column?

(j) Write the expression of strain energy in a beam due to torsion.

SECTION-B

2. Derive the expression of critical load for a column of length L, with

both ends fixed.

3. Plot the shear stress distribution along the cross section of the beam

shown below, which is subjected to a shear force of 20 kN.

4. Derive the expression for slope and deflection for a simply supported

beam of length l. The beam is subjected to a pure couple at a

distance ‘a’ from the left end support. Any method can be used for

the derivation.

5. A bar made of steel has the dimensions shown in the figure. If an

axial force P = 80kN is applied to the bar, determine the change in

its length and the change in the dimensions of its cross-section after

applying the load. The material behaves elastically. E for steel = 200

GPa and Poisson’s ratio = 0.32

6.  Derive the expression for-stresses in a thin cylindrical vessel of mean

     radius R and wall thickness h subjected to internal pressure p

SECTION-C

7. A solid alloy shaft 50mm in diameter is to be coupled in series with a

hollow steel shaft of the same external diameter. Find the internal

diameter of the steel shaft if the angle of twist per unit length of steel

shaft is to be 75% of that of the alloy shaft. Also determine the

speed at which the shafts are to be driven to transmit 200kW, if the

limits of the shearing stresses are to be 55MPa and 75MPa for alloy

and steel, respectively. G_Steel = 2.2 G_Alloy.

8. Two parallel but out-of-plumb walls 6m apart are stayed together by

a steel rod of 25mm diameter at a temperature of 78°C passing

through steel plates, washers and nuts on outer side of the wall at

each end . Determine the pull exerted by the rod when it is cooled to

24°C, for

(a) if the walls do not yield, and

(b) if the walls yield at two ends by 2mm. Young’s Modulus for

steel = 200GPa and coefficient of thermal expansion for

steel = 11x 10–6/°C.

9. Draw the shear force and bending moment diagrams for the beam

shown below. Write down the equations for shear force and bending

moments as a function of x, where (1.2m  x  3m). Also show

salient points on the diagrams along with their values.

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Mechanics of Materials Question Paper of 3rd Semester AE Download Previous Years Question Paper 4

Roll No. ......................

Total No. of Questions : 09]

B. Tech. (Sem. – 3rd)

MECHANICS OF MATERIALS

SUBJECT CODE : BTAE-301

Paper ID : [A1112]

Time : 03 Hours

Instruction to Candidates:

1) Section - A is Compulsory.       

2) Attempt any Four questions from Section - B.

3) Attempt any Two questions from Section - C.

Section - A

1.       

a.     What do you mean by longitudinal strain and lateral strain?

b.     Define point of Contra flexure.

c.      Calculate the ration of maximum shear streets and average shear stress in rectangular section beam

d.     What do you understand by Mohr’s stress circle?

e.      The young’s modulus of elasticity of a material is 2.5 times its modulus of rigidity. Calculate the passion’s ratio of material.

f.       What do you mean by section Modulus of a shaft?

g.     Differentiate between Colum and Strut. Give examples.

h.     What do you mean by Engineering Failure of a Material?

i.        State Mohr’s Moment Area Theorems for slope and deflection.

j.       A simply supported beam carries two equal concentrated loads W at distance 1/3 form either support Calculate the maximum bending moment.

Section –B

2.     A thin cylinder 500mm in diameter and length 2m has a thickness of 8mm. If it is subjected to internal pressure of 5 MPa, determine the increase in volume of cylinder. Take E=200GPa and passion’s ration as0.33.

3.     A hollow pipe of 500mm outer diameter and 30mm wall thickness is full of water and is simply supported over a span of 12m. Calculate the maximum bending stress produced in the material of the pipe if the density of the pipe materialise 7200 Kg/m³  and that of water is 1000kg/m³

4.     Briefly explain the Stress-Strain diagram for ductile materials and show all important points on it. How it is different form stress-Strain diagram for brittle material?

5.     State the assumptions made in deriving the torsion Formula. Also Derive the Torsion formula for a solid circular shaft i.e ­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­--------=----------=-----------

6.     Prove that the ratio of maximum value of shear stress and average value of shear streets in a circular section beam is 1.33.

Section-C

7.     Derive an expression for the bucking load for a pin end column. According to Euler’s theory. State the assumptions made. Also explain the limitation of Euler’s formula?

8.     A beam with overhang at one end and carrying a uniformly distributed load over the whole length is shown in Fig. No. 1 Draw the shear force Diagram and Bending moment Diagram. Also find out the position of point of contrafexuire.

     

9 .    A circular shaft 100mm diameter is subjected to combined bending and twisting moments, the bending moment being three times the twisting moment. If the yield point stress of the material is 400 MPa and the factor of safety 4. Calculate the allowable twisting moment according to following theorise  of failure.

a.     Maximum Shear stress theory

b.     Shear strain energy theory 

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Mechanics of Materials Question Paper of 3rd Semester AE Download Previous Years Question Paper 3

Roll No. ......................

Total No. of Questions : 09]

B. Tech. (Sem. – 3rd)

MECHANICS OF MATERIALS

SUBJECT CODE : AE – 201

Paper ID : [A0701]

Time : 03 Hours

Instruction to Candidates:

1. SECTION-A is COMPULSORY consisting of TEN questions carrying

TWO marks each.

2. SECTION-B contains FIVE questions carrying FIVE marks each and

students has to attempt any FOUR questions.

3. SECTION-C contains THREE questions carrying TEN marks each and

students has to attempt any TWO questions.

SECTION-A

1. Write briefly :

a. What are different types of strains?

b. What is the main difference between the stress-strain diagrams for

   ductile and brittle materials?

c. What is the application of Mohr’s circle?

d. What is meant by Point of Contra flexure?

e. Four springs are in series. How will you find out the equivalent

   stiffness of this system?

f. What is the main difference between closed coil and opened coil

    helical spring?

g. Give real life examples of a cantilever beam.

h. What is double integration method?

i. Write about possible applications of Rankine's formula.

j. What is meant by crippling load?

SECTION-B

2. A bar of varying cross-section has a uniform taper. Derive the formula for

strain and deflection in the bar.

3. Show the application of Mohr's circle to a compound stress condition.

4. Sketch the bending moment and shear force diagrams for following cases:

(i) Simply supported beam with a concentrated load at the mid span.

(ii) Simply supported beam with uniformly distributed load over whole of its span.

5. Derive tensional formula and show its application to a hollow shaft.

6. Derive Euler’s formula for a column.

SECTION-C

7. Draw the shaear force and bending moment diagrams for a beam shown

below. All loads are in kN and all distances are in m.

8. A beam of 3 m length is simply supported at ends. It carries uniformly

    distributed load of 4 kN/m over whole of its length in addition to negative

 bending couples of 2kNm at each end. Taking El = 6 × 10⁶ Nm² , find the mid span deflection,

9. For a line shaft running at 200 rpm and of 5 cm diameter throughout its

length, a torque of 200 Nm is applied at B. Torques taken off from the

shaft to various machines from sections A, C and D are 100 Nm, 20 Nm

and 80 Nm respectively. Show variation of torque, surface shear stress

and relative angle of twist along the length of the shaft. What is the

maximum shear stress and the angle of twist between the ends of the

shaft ? Take G = 80 GPa. Neglect bending of shaft.

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