Dear all,

GATE exam is becoming mandatory for most of  the PSUs. The details are given below. Try your level. All the best.

Details of PSU Recruitment through GATE 2015 are as follows:

Name of PSU	Application Dates	Eligible Branches
ONGC Ltd.	Start of online application January 2015 Last date for submission of application: January, 2015	Engineering  and Geo Physics
Coal India Ltd	Start of online application December 2014  Last date for submission of application: December, 2014	Mechanical, Electrical, Mining and Geology
CEL	Start of Online Application Form: December 18, 2014 Last Date for submission of Application: January 15, 2015	Electronics&CommunicationEngineering/Mechanical Engineering/Electrical Engineering/MaterialScience
NHPC Limited	Start of online application January 1, 2015 Last date for submission of application:  January 31, 2015	Electrical
BPCL Limited	Start of online application December 17, 2014 Last date for submission of application: January 30, 2015	Mechanical, Electrical, Chemical, Civil, and Instrumentation
IndianOil	Start of online application December 17, 2014 Last date for submission of application: February 21, 2015	Chemical, Civil, Computer Science & IT, Electrical, Electronics & Communications, Geology, Geophysics, Instrumentation, Mechanical, Metallurgy, Mining
POWERGRID	Start of online application January, 2015 Last date for submission of application: February, 2015	Electrical/ Electrical (Power) / Electrical and Electronics/  Power Systems Engineering
HPCL	Start of online application December 18, 2014 Last date for submission of application: February 2, 2015	Mechanical/ Civil / Electrical/ Electronics and Telecommunication / Instrumentation/ Chemical
NTPC Limited	Start of online application December, 2014 Last date for submission of application: January 2015	Mechanical/ Civil/Electrical /Electronics/ Instrumentation
GAIL	Start of online application December, 2014 Last date for submission of application: January, 2015	Mechanical/ Electrical/ Instrumentation/ Chemical
MDL	Start of online application December, 2014 Last date for submission of application: January, 2015	Mechanical/Electrical/ Electronics
NFL	Start of online application January, 2015 Last date for submission of application: February, 2015	Mecanical/ Electrical/ Chemical/ Instrumentation/ Materials
MECL	Start of online application January, 2015 Last date for submission of application: February, 2015	Mechanical/Chemistry/Geology/Geophysics
NLC	Start of online application December, 2013 Last date for submission of application: January, 2015	Mechanical / Electrical Engineering /Electrical & Electronics Engineering / Electronics &  Communication Engineering /Mining/Instrumentation/ Electronics &    Instrumentation/Instrumentation& Control/ Civil / Civil & Structural/ Computer Science/ Computer Engineering /Information Technology
GSECL	Start of online application April 2015 Last date for submission of application: April 2015	Electrical, Mechanical, C&I,   Civil
NPCCL	Last date for submission of application by candidates to NPCCL: February 28, 2015	Civil
RITES	Start of online application January, 2015 Last date for submission of application: February, 2015	Civil Mechanical
NALCO	Start of online application by candidates: May, 2015  Last date for submission of application: June, 2015	Mechanical, Electrical, Electronics, Instrumentation, Metallurgy, Civil, Mining, Chemical Computer Science

The individual problem is assigned . This diagram can be used as reference for the question for solving the problem

Draw SFD and BMD using exel

DEPARTMENT OF MECHANICAL ENGINEERING

MEB 2102 SOLID MECHANICS

ASSIGNMENT -1 SUBMISSION DATE : 14 Aug 14

PART A

1. State and briefly explain hooke’s law.

2. A steel bar is 10 mm diameter and 2 m long. It is stretched with a force of 20kN and extends by 0.2 mm . calculate the stress and strain

3. A steel column is 3m long and 0.4 m diameter . It carries a load of 50 MN. Given that the modulus of elasticity is 200 Gpa. Calculate the compressive stress and strain. Determine how much the column is compressed.

4. Illustrate the principle of superposition with a sketch

5. Differentiate the terms strain and strain energy.

6. State the importance of Poisson’s ratio in calculating strain.

7. For a body of rectangular cross section with length’l’,breadth,’b’, and thickness’t’ subjected to an axial tension of ‘P’ estimate the volumetric strain. Account poisson’s ratio as ‘1/m’ and young’s modulus as ‘E’.

8. List the types of beams with their conventional representation.

9. Define shear force and bending moment of a beam.

10. Briefly explain thermal stresses and thermal strain

Part B

1. The ultimate stress for a hollow steel hollow column which carries an axial load of 1.82 MN is 473 N/ mm2 . if the external diameter of the column is 200mm. determine the internal diameter. Take factor of safety as 4.5.

2. A cast iron flat 300 mm long and 30 mm [thickness ] x 60 mm [ width ] uniform cross section is acted upon by the following forces. 30 kN tensile in the direction of length. 360 kN compression in the direction of width, 240 kN tensile in the direction of thickness. Calculate the direct strain, net strain in each direction and change in the volume of the flat. Assume the modulus of elasticity as and poisson’s ratio for cast iron as 140kN/ mm2 and 0.25 respectively

3 . A steel bar of cross section 500 mm2 is acted upon by the forces shown in Fig. Determine the total elongation of the bar. For steel, consider E = 200 GPa.

4. Two prismatic bars are rigidly fastened together and support a vertical load of 45 kN, as shown in Fig. The upper bar is steel having length 10 m and cross-sectional area 60 cm2.. The lower bar is brass having length 6 m and cross-sectional area 50 cm2 . For steel E = 200 GPa, for brass E = 100 GPa.

Determine the maximum stress in each material. specific weight for brass and steel is 84000N and 77000 N respectively.

5. A square steel bar 50 mm on a side and 1 m long is subject to an axial tensile force of 250 kN. Determine the decrease Δt in the lateral dimension due to this load. Use E = 200 GPa and poisson’s ratio as = 0.3.

6. A hollow right-circular cylinder is made of cast iron and has an outside diameter of 75 mm and an inside diameter of 60 mm. If the cylinder is loaded by an axial compressive force of 50 kN, determine the total shortening in a 600 mm length. Also determine the normal stress under this load. Take the modulus of elasticity to be 100 GPa .

7. A steel rod of 25 mm diameter an 5 m long is connected to two grips and the rod is maintained at a temperature of 86 0 C .Determine the stress and pull exerted when the temperature falls to 38 0 C, if the ends do not yield and if the ends yield by 1.1mm . Take young’s modulus as 2x10 5 MN/m 2 and co efficient of linear expansion as 14x10 -6 / 0 C.

8. A load of 2 MN is applied on a short concrete column 475 mm x 475 mm . The column is reinforced with four steel bars of 8 mm diameter one in each corner. Find the stress in the concrete and in steel bars. Take E for steel as 2x10 5 N/mm 2 and for concrete as 1.4x10 4 N/mm 2

9. A steel rod 4.8 m long and 26 mm diameter is subjected to an axial tensile load of 50kN. Determine the change in length ,diameter and volume of the rod. Take young’s modulus as 2x10 5 N/mm 2 and poisson’s ratio as 0.26

10. For the following component calculate the stress in each section and find the total extension .

Take E as 2x10 5 N/mm 2

Guidelines

1. Submission strictly on or before the submission date

2. Students should submit only in the A4 sheet neatly filed mentioning the page numbers.

3. Briefing the questions in the assignment is necessary.

4. Results / findings need to be mentioned after every answer.

5 Writing Name and RRN is mandatory.

SIMULATION LAB ME 406

1. SIMULATION OF  SLIDER CRANK MECHANISM
2. SIMULATION OF  4 BAR MECHANISM
3. SIMULATION OF HYDRAULIC CYLINDER
4. SIMULATION OF  PNEUMATIC CYLINDER
5. SIMULATION OF CAM AND FOLLOWER MECHANISM
6. SIMULATION OF  AIR CONDITIONING SYSTEM
7. SIMULATION OF ROBOT ARM

Solid Mechanics syllabus

MEB2102 SOLID MECHANICS L T P C

                                                                                                         3 1 0 4
OBJECTIVES:
• To gain knowledge of simple stresses, strains and deformation in components.
• To assess stresses and deformations through mathematical models of beams,
twisting bars or combinations of both.
• To analyze the effect of component dimensions and shape on stresses and
deformations.
• To provide a strong foundation for study of design courses.
MODULE I STRESS STRAIN AND DEFORMATION OF SOLIDS 10
Rigid and Deformable bodies – Strength, Stiffness and Stability – Stresses;
Tensile, Compressive and Shear – Deformation of simple and compound bars
under axial load – Thermal stress – Elastic constants – Strain energy and unit
strain energy – Strain energy in uniaxial loads.
MODULE II BEAMS - LOADS AND STRESSES 12
Types of beams: Supports and Loads – Shear force and Bending Moment in
beams – Cantilever, Simply supported and Overhanging beams – Stresses in
beams – Theory of simple bending – Stress variation along the length and in
the beam section – Effect of shape of beam section on stress induced –
Shear stresses in beams – Shear flow.
MODULE III TORSION 8
Analysis of torsion of circular bars – Shear stress distribution – Bars of Solid
and hollow circular section – Stepped shaft – Twist and torsion stiffness –
Compound shafts – Fixed and simply supported shafts.
MODULE IV BEAM DEFLECTION 10
Elastic curve of Neutral axis of the beam under normal loads – Evaluation of
beam deflection and slope: Double integration method, Macaulay Method, and
Moment-area Method.
MODULE V APPLICATION OF TORSION AND BEAM DEFLECTION 10
Application to close-coiled helical springs – Maximum shear stress in spring83
B.Tech. Mechanical Engineering
section including Wahl Factor – Deflection of helical coil springs under axial
loads – Design of helical coil springs – stresses in helical coil springs under
torsion loads. Columns – End conditions – Equivalent length of a column –
Euler equation – Slenderness ratio – Rankine formula for columns.
MODULE VI ANALYSIS OF STRESSES IN TWO DIMENSIONS 10
Biaxial state of stresses – Thin cylindrical and spherical shells – Deformation
in thin cylindrical and spherical shells – Biaxial stresses at a point – Stresses
on inclined plane – Principal planes and stresses – Mohr’s circle for biaxial
stresses – Maximum shear stress - Strain energy in bending and torsion.
Total Hours: 60
TEXT BOOKS:
1. Bansal, R.K, “A text book of strenth of material”, Laxmi Pulication (P) Ltd.,
2010.
2. Ramamrutham, S, strenth of materials, 14th Edition, Dhanth Rai Publication,
2011.
REFERENCES:
1. Popov E.P, “Engineering Mechanics of Solids”, Prentice-Hall of India, New
Delhi, 1997.
2. Beer F. P. and Johnston R, “Mechanics of Materials”, 3rd Edition, McGraw-Hill
Book Co, 2002.
3. Nash W.A, “Theory and problems in Strength of Materials”, Schaum Outline
Series, McGraw-Hill Book Co, New York, 1995.
4. Timoshenko S.P, “Elements of Strength of Materials”, Tata McGraw-Hill, New
Delhi 1997.
5. Singh D.K “Mechanics of Solids” Pearson Education, 2002.
6. Kazimi S.M.A, “Solid Mechanics”, Tata McGraw-Hill Publishing Co, New Delhi,
1981.
OUTCOMES:
The student should be able to
• Analyze simple stresses, strains and deformation in components.
• Design simple machine components like springs, shafts, beams, columns
etc.

MY NEW WORK PLACE : B.S. ABDUR RAHMAN UNIVERSITY [ formerly Crescent Engineering college ]

Strength of Materials

Solutions to the problems discussed in the class