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NATIONAL INSTITUTE OF TECHNOLOGY, ROURKELA Department of Mechanical Engineering Assignment : (1 st Semester) course: ME-603 Applied Elasticity and Plasticity Last Date of Submission: 30.11.2014 Send your answer (in word . doc file) to email address: [email protected] Write your Roll no. only as subject of e-mail and attachment file Name also should be your Roll no. only. Do not use other e-mail address . You can give your name, roll no. and topic name inside the text for identification. NB: follow a text book and answer in own words. Sl.no. Roll no. Name Assignment 1 214ME1008 YASSIN ALKASSAR Derive the equations to find the principal stresses in a 3D stress system. 2 214ME1267 POSIPOGU SHANMUKHA VASU Derive the compatibility equations in Cartesian coordinate systems with and without body forces. 3 214ME1279 PAWAN KUMAR TIWARI Using stress function (Cartesian coordinate) approach derive the stress and strain(displacement) in pure bending of prismatic bar and compare its result with that obtained in strength of materials 4 214ME1280 VIKRAM UMAKANT UKIRDE What is Hydrostatic stress, devioteric stress, kronecker delta ? describe, explain and show in matrix form 5 214ME1282 TOMPE UMESH ABHIMAN Using stress function (Cartesian coordinate) approach derive the stress and strain(displacement) in bending of simple supported narrow beam by a distributed loading and compare its result with that obtained in strength of materials 6 214ME1283 DEEPAK KUMAR BEHERA With a suitable diagram show the all stress notations in all faces of a cube in Cartesian coordinate system, stress and strain tensor. Give all 2D and 3D stress-strain relationships. 7 214ME1284 PEEUS KUMAR In a 3D stress system derive to find shear stresses. Maximum shear stresses, planes for zero and maximum shear stresses. 8 214ME1285 DEVASIS MISHRA Using stress function (Cartesian coordinate)

Assignment AEP 2014

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Page 1: Assignment AEP 2014

NATIONAL INSTITUTE OF TECHNOLOGY, ROURKELADepartment of Mechanical Engineering

Assignment : (1st Semester) course: ME-603 Applied Elasticity and PlasticityLast Date of Submission: 30.11.2014

Send your answer (in word . doc file) to email address: [email protected] Write your Rollno. only as subject of e-mail and attachment file Name also should be your Roll no. only. Do not useother e-mail address. You can give your name, roll no. and topic name inside the text for identification.

NB: follow a text book and answer in own words.

Sl.no. Roll no. Name Assignment

1 214ME1008 YASSINALKASSAR

Derive the equations to find the principal stresses in

a 3D stress system.

2 214ME1267 POSIPOGUSHANMUKHAVASU

Derive the compatibility equations in Cartesian

coordinate systems with and without body forces.

3 214ME1279 PAWAN KUMARTIWARI

Using stress function (Cartesian coordinate)

approach derive the stress and strain(displacement)

in pure bending of prismatic bar and compare its

result with that obtained in strength of materials

4 214ME1280 VIKRAMUMAKANT UKIRDE

What is Hydrostatic stress, devioteric stress,

kronecker delta ? describe, explain and show in

matrix form

5 214ME1282 TOMPE UMESHABHIMAN

Using stress function (Cartesian coordinate)

approach derive the stress and strain(displacement)

in bending of simple supported narrow beam by a

distributed loading and compare its result with that

obtained in strength of materials

6 214ME1283 DEEPAK KUMARBEHERA

With a suitable diagram show the all stress notations

in all faces of a cube in Cartesian coordinate

system, stress and strain tensor. Give all 2D and 3D

stress-strain relationships.

7 214ME1284 PEEUS KUMAR In a 3D stress system derive to find shear stresses.

Maximum shear stresses, planes for zero and

maximum shear stresses.

8 214ME1285 DEVASIS MISHRA Using stress function (Cartesian coordinate)

Page 2: Assignment AEP 2014

approach derive the stress and strain(displacement)

in bending of simple supported narrow beam by an

end load and compare its result with that obtained

in strength of materials

9 214ME1287 SAROJ KUMARPADHY

Derive the equations to find the principal planes and

maximum shear stress planes in a 3D stress

system.

10 214ME1289 RAHUL Using stress function (polar coordinate) approach

derive the stress and strain in Pure bending of

curved bar and give its application to find residual

stress in a fabricated ring

11 214ME1290 SRIKANTHRUPAVATH

In a 2D stress system derive the compatibility

equations in polar coordinate systems with and

without body forces.

12 214ME1291 SIBASISH SAHU With a suitable diagram show the all stress notations

in Polar coordinate system, Give the differential

stress equilibrium equations in 2D and 3D form.

13 214ME1294 SAGAR GUPTA Using stress function (polar coordinate) approach

derives the stress and strain in Rotating disk. Show

the stress distribution in solid disk, hollow disk and

find maximum points

14 214ME1295 RINI JENA With a suitable diagram show the all stress notations

in Cartesian coordinate system, Give the differential

stress equilibrium equations in 2D and 3D form.

15 214ME1297 SAGAR MOHAN What is a Yield criterion? Describe and show by a

neat sketches in 2D principal stress axes.

16 214ME1302 ABHILEKH SINGH Using stress function (polar coordinate) approach

derives the stress and strain distribution in a thick

cylinder in uniform internal pressure and give its

application for gun barrel

17 214ME1304 RAHUL SINGH What is ideal work or uniform energy method?

Explain. Describe it with application to drawing,

forging and extrusion.

18 214ME1305 ARVIND KUMARTHAKUR

Describe the Tresca Yield criteria with diagram with

explanation in 2D and 3D form. Find relation

between Y and k.

19 214ME1307 NAVEEN KUMAR Derive the compatibility equations in polar

Page 3: Assignment AEP 2014

VERMA coordinate systems with and without body forces.

20 214ME1453 RAHULDEWANGAN

Represent Tresca and Von-Mises yield criteria in

three dimensional stress system and in -plane.

Show the critical points.

21 214ME1544 CHITRANJANKUMAR

What is Hydrostatic stress, devioteric stress,

kronecker delta ? describe, explain and show in

matrix form

22 214ME1545 BANAMALINEPAK

What are flow rules? Compare it with those of

stress-strain equations in elastic zone.

23 214ME1546 PREMENDRAMANI PRADHAN

What is plastic instability? Explain and show with

diagrams the instability point in uniaxial tensile test.

24 214ME2268 ABHISHEK What is slab analysis? Give the assumptions. With a

neat sketch apply this technique to direct

compression process in plane strain situation

25 214ME2270 NITESH Give different empirical equations used to represent

the stress-strain curve with explanation.

26 214ME2272 ASHISH JAIN Describe the Yield criteria with diagram (first three)

27 214ME2273 VENKAT REDDYMALI

Find the upper bound extrusion load for a plane

strain frictionless extrusion process.

28 214ME2276 SUSHANTAKUMAR SAHOO

What is plastic instability? Explain and show with

diagrams the instability point in uniaxial tensile test.

29 214ME2281 CHANDRAMANIUPADHYAY

What are basics of slab analysis? Give the

assumptions. With a neat sketch apply this

technique to direct compression process in plane

strain situation

30 214ME2298 DILIP KUMARPRADHAN

Compare all the Yield criteria and show by a neat

sketch

31 214ME2300 SHOVAN ROY What is ideal work or uniform energy method?

Explain. Describe it with application to drawing,

forging and extrusion.

32 214ME2303 KALEBAR SINGH Draw the hodograph (velocity diagram) to find upper

bound load for a plane strain compression process

of a rectangular block.

33 214ME2306 TUKURAJ TUDU Show the different stress-strain diagrams for

different idealized materials.

34 214ME2326 NAGA PAVANKUMAR GATTU

What are flow rules? Compare it with those of

Page 4: Assignment AEP 2014

stress-strain equations in elastic zone.

35 214ME2332 ATMAJ NAYAK What is slab analysis? Give the assumptions. With a

neat sketch apply this technique to wire drawing

process.

36 214ME2334 MAHENDRASINGH

Describe the Yield criteria with diagram (last three)

37 214ME2335 ROSHIN THOMASVARUGHESE

Represent Tresca and Von-Mises yield criteria in

three dimensional stress space and in -plane.

Show the critical points.

38 214ME2343 CHIRAGPANWARIYA

What are the basics of Upper bound method of

analysis? Explain hodograph. Find the general

expression to find upper bound energy dissipation

on a plane of discrete shear (plane of velocity

discontinuity).

39 214ME2350 KUNJABIHARIDEEP

Give different empirical equations used to represent

the stress-strain curve with explanation.

40 214ME2356 PRASHIT KUMARNAYAK

Find the upper bound load for a plane strain

compression process of a rectangular block.

41 214ME2369 GOURAV PRASAD Show the Tresca and Von-Mises yield criteria in

three dimensional stress space and in -plane

42 214ME2547 SABANA AZIM Define plastic instability? Explain and derive the

conditions of instability point in uniaxial tensile test.

43 214ME2548 SURINARAYANACHERUKURI

Derive and explain the flow rules.

44 214ME2549 ABHIJIT SAMANT What is slab analysis? Give the assumptions. With a

neat sketch apply this technique to direct

compression process in plane strain situation

45 512ME116 MAHENDRANATHGOLIVE

46 514ME1002 PRIYADARSHIBIPLAB KUMAR

Compare all the Yield criteria and show by a neat

sketch

47 514ME1003 KAMLESH KUMAR Give different empirical equations used to represent

the stress-strain curve with explanation.

48 514ME1005 DEEPAK KUMARNAIK

Show the Tresca and Von-Mises yield criteria in

three dimensional stress space and in -plane

49 514ME1006 RAVITEJABUDDALA

Describe the Tresca Yield criteria with diagram with

explanation in 2D and 3D form. Find relation

between Y and k.

Page 5: Assignment AEP 2014

50 514ME1008 HIMADRIMAJUMDER

Describe the von-Mises Yield criteria with diagramwith explanation in 2D and 3D form.

51 514ME1011 KULMANI MEHAR What is slab analysis? Give the assumptions. With aneat sketch apply this technique to sheet drawing

process.52 614ME1001 ANKIT KUMAR

PANDEYWhat is octahedral stress and Octahedral stress yield

criteria, explain