DME 316357 ASSIGNMENT WITH SOLUTIONS ( IMPOARTANT QUESTIONS)

 

Assignment No. 1

                                      Year: 2025-26

 Program Name : - Mechanical Engg.                Course Name:- DME [316357] 

 Name of Faculty:- Prof. P.P.BHIRUD                   Weightage: 12 Marks

                                 UNIT I : FUNDAMENTALS OF DESIGN

CO1: Use fundamental concepts of design of machine elements for given  
            application

Qu

                                               DESCRIPTION

M

L

EXAM

 

1

State the composition of the following materials:

a)Fe E 230 ,b) X20Cr18Ni2 , c) 35C8  ,d) 40Ni2Cr1Mo28  ,e) 40C8  f)35Mn2Mo28,  g) 30Ni4Cr1, h) 25Cr3Mo55,g)  FeE220,h)20C8 i) X10Cr18Ni9Mo4Si2 j)

 

4 M

R

W- 2016,17

2

State the composition of material    a)FG200  b) FeE230  c) 35C8  d) X20Cr18Ni2

4 M

R

S19,22W18

3

Define stress concentration. State causes and methods of reducing stress concentration with neat sketches.

6 M

U

W24,18 S18,19

4

Explain the following types of stresses:        a)Transverse shear stress  b) Compressive stress  c) Torsional shear stress

6 M

U

W-16, W-18

5

Explain maximum shear stress theory with equations.

4 M

U

W-18

6

Draw stress–strain diagram for ductile material stating salient points.

4 M

A

S16 ,19

7

Draw stress–strain diagram for brittle material.

2 M

A

W-17

8

Define endurance limit and draw typical S–N curve for steel.

4 M

U

W-18

9

Define endurance limit (fatigue limit)? Explain its importance in design.

4 M

U,A

S-19

10

Define factor of safety. State the factors affecting on the selection of f.o.s

6 M

U.R

S17W22

11

Define factor of safety w.r.t. ductile and brittle material.

4 M

U

W-18

12

Define creep? Explain creep curve with stages          .

3 M

U,A

W-17

13

State the theories of elastic failure. Explain any two.  OR

Explain maximum normal stress theory and maximum shear stress theory with equations.

8 M

U,A

W-17

 

14

Define machine design.

2 M

U

W-17

15

State and explain main considerations in machine design.

6 M

R

W-16

16

State four types of loads acting on machine elements.

2 M

R

W-17

17

State &Explain general design procedure.

4 M

R,U

S24,25

18

Explain importance of aesthetics consideration in design with examples.

6 M

U

W17,18

19

State the meaning of colour codes in aesthetic design:  a)Red  b) Orange  c) Green d) Blue

4 M

R

W16,S23

20

State general equation for bending moment & state meaning of each  term.

2 M

R

S-18

21

State torsion equation and state meaning of each  term

2 M

R

S-18


 
 

Qu

                                               DESCRIPTION

M

L

EXAM

 

1

State the composition of the following materials:

a)Fe E 230 :  It is a plain carbon steel with Min. Yield strength is 230  
                       N/mm2

 b) X20Cr18Ni2 : It is a High alloy steel   with carbon  of average 0.20%, 
                                              chromium  18%, Nickel 2%.

 c) 35C8  : It is a Plain carbon steel  with avg.  0.35% of carbon, manganese
                      0.8%

d) 40Ni2Cr1Mo28 :   It is a Alloy steel  with Avg 0.4 % average  of Carbon ,
                                          Nickel   2 %, chromium 1%, Molybdenum  28%.

e) 40C8  : It is a Plain carbon steel with  Avg. 0.4 % of Carbon, manganese 0.8%

f)35Mn2Mo28: It is a Alloy steel  with 0.35 % average  of Carbon , Manganese
                                                2 %, Molybdenum  28%.

g) 30Ni4Cr1: It is a Alloy steel  with  average  0.3 % of Carbon , Nickel
                                                4 %, chromium 1%.

 h) 25Cr3Mo55 : It is a Alloy steel  with average 0.25% of Carbon , chromium 
                                                3 %, Molybdenum  55%.

g)  FeE220: It is a plain carbon steel with Min. Yield strength is 220 N/mm2

h)20C8: It is a Plain carbon steel carbon 0.2% of average, manganese 0.8% ,

i) X10Cr18Ni9Mo4Si2 : It is a High alloy steel   with carbon  0.10% of average ,  
                                              chromium  18%, Nickel 9%,Molebdenum 4%,  silicon 2%

j) X77W18Cr4V1: It is a High alloy steel carbon 0.77% of average, tungsten   
                                     18%,chromium  4%, Vanadium 1%

 

4 M

R

W- 2016,17

2

State the composition of material    a)FG200  b) FeE230  c) 35C8  d) X20Cr18Ni2

a) FG200 : It is a grey cast Iron  with min. UTS 200 N/mm2

c)35C8 : It is  a Plain carbon steel with  average 0.35% carbon, manganese 0.8%

b)Fe E230 : It is a Plain carbon Steel with yield strength of 230N/mm2

d)X20Cr18Ni2 : It is  a High alloy steel  with  average 0.20% carbon, chromium 18%, Nickel 2%

4 M

R

S19,22W18

3

Define stress concentration. State causes and methods of reducing stress concentration with neat sketches.

During the design of any machine component, discontinuities in any machine part are there due keyway, threaded grooves and steps are present on the component which is functional requirement to perform their functions.

 2. Such type of discontinuity alters the stress distribution in the vicinity of the discontinuity and elementary stress equations no longer describe the state of stress in the component.

3. The stresses induced in the neighbourhood of the discontinuity are much higher than the stresses in the other part of the component.

4. This concentration of high stresses due to the discontinuities or abrupt change of cross-section is called stress concentration.


Causes of stress concentration are as under. i) Abrupt changes in cross-section like in keyway, steps, grooves, threaded holes results in stress concentration.

 ii) Poor surface finish – The surface irregularities is also one of the reason for stress concentration.

iii) Localized loading – Due to heavy load on small area the stress concentration occurs in the vicinity of loaded area.

iv)Variation in material properties – Particularly defects like internal flaws, voids, cracks, air holes, cavities also results in stress concentration.

Remedies to reduce stress concentration are as follows:

i. Introducing additional notches and holes in tension member like use of multiple notches and drilling additional holes.

ii. Fillet radius, undercutting and notch for member in bending.

iii. Reduction of stress concentration in Threaded members.

iv. Change in cross-section should be gradual. v. By improving surface finish

 





6 M

U

W24,18 S18,19

4

Explain the following types of stresses:        a)Transverse shear stress  b) Compressive stress  c) Torsional shear stress

i)Transverse Shear Stress: - When a mechanical component is subjected to two equal and opposite forces acting tangentially across the resisting area resulting in shearing off of the section, the stress induced in such a case is known as transverse shear stress. ……………………01 mark

  From figure Mathematically transverse shear stress is represented as,

τ =F  / A

Where,

 F = Tangential force applied                        A = Area of cross section

d = Diameter of rivet. ……………………01 mark

                                                           


 ii )Compressive Stress: When a body is subjected to two equal & opposite axial pushes ,then the internal resistances set up in the material is called as compressive stress                                                                   .……………………01 mark

It is denoted by  σc =P/A

Where ,P: Axial compressive force ,   A : Cross Sectional Area.……………01 mark

iii) Torsional stress: When a machine component is under the action of two equal and opposite couples i.e. twisting moment or torque, then component is said to be torsional and the stresses set up due to torsion are called as torsional shear stress. ……………………01 mark

Consider a component of circular cross-section. ‘d’ in diameter, subjected to torque T, Torsional shear stress is given by,

basic torsion equation        τ  / r  = T  /  J   =Gθ/L

Where, r = distance of outer fibre from neutral axis = d/2

 J = Polar moment of inertia of cross- section                         ……………………01 mark

6 M

U

W-16, W-18

5

Explain maximum shear stress theory with equations.

Maximum Shear Stress Theory: This theory states that failure occurs when the maximum shear stress from a combination of stresses equals or exceeds the value obtained for the shear stress at yielding in the simple tensile test.

Mathematically,               τ max = τyt /FoS                                                 ... (i)

where  ,    

τmax = Maximum shear stress in a bi-axial stress system,

τyt = Shear stress at yield point as determined from simple tension test, and

 FoS = Factor of safety.

Since the shear stress at yield point in a simple tension test is equal to one-half the yield stress in tension,

 therefore the equation (i) may be written as

                                                       τmax = 2 x  σ yt x foS

This theory is mostly used for designing members of ductile materials

4 M

U

W-18

6

Draw stress–strain diagram for ductile material stating salient points.


Point A: Proportional limit

Point B: Elastic limit

Point c: Upper yield point

Point D: Lower yield point

Point E: Ultimate tensile stress point

Point F: Breaking Stress point

4 M

A

S16 ,19

7

Draw stress–strain diagram for brittle material.



Point Y: Proportional limit

Point F: Breaking Stress point

 

 

2 M

A

W-17

8

Define endurance limit and draw typical S–N curve for steel.

Endurance Limit: It is defined as maximum value of the completely reversed bending stress which a polished standard specimen can withstand without failure, for infinite number of cycles (usually 107 cycles).It is known as endurance or fatigue limit ( ϭe).



The plot of fatigue strength Sf  Vs stress cycle N on log paper. This plot is popularly is known as S-N Diagram .For the steel material ,the graph becomes horizontal at 106 cycles, indicating that the fatigue failure will not occurs below this stress, whenever may the number of cycles.this stress is known as endurance limit Sf of the material.

 

4 M

U

W-18

9

Define endurance limit (fatigue limit)? Explain its importance in design.

Endurance Limit: It is defined as maximum value of the completely reversed bending stress which a polished standard specimen can withstand without failure, for infinite number of cycles (usually 107 cycles).It is known as endurance or fatigue limit ( ϭe).

Need of Endurance Limit in Machine Design: Endurance limit is used to describe a property of materials: the amplitude (or range) of cyclic stress that can be applied to the material without causing fatigue failure.

4 M

U,A

S-19

10

Define factor of safety. State the factors affecting on the selection of f.o.s

Factor of Safety: Factor of safety: It is defined as ratio of Maximum stress to the working stress ( permissible /design stress

OR       it is the ratio of failure load to allowable or working load



Selection of factor of safety (fs) depends upon following factors

i)                    Effect of failure: Time, finance, danger to human life decides the value of fs.

ii)                   Type of load : Static load– low fs, Dynamic load and Impact Load-high fs,

iii)                 Degree of accuracy in force analysis: Accurate - low fs,

 iv) Material of component: Homogeneous material or ductile low fs,

iv)                 Reliability of component: increases for higher reliability of component. vi) Cost of component: Cost of component is directly proportional to value of factor of safety.

vii) Testing of machine element: Actual testing conditions known - low fs viii)Service conditions: Operating conditions like temp, corrosion, humidity add to value of factor of safety.

 ix) Quality of Manufacture: High Mfg. quality leads to low fs

Selection of value of factor of safety is normally low for ductile materials and high for brittle materials. It is essentially a compromise between the associated additional cost and weight and the benefit of increased safety or/and reliability.

6 M

U.R

S17W22

11

Define factor of safety w.r.t. ductile and brittle material.

Factor of Safety: Factor of safety: It is defined as ratio of Maximum stress to the working stress ( permissible /design stress

OR       it is the ratio of failure load to allowable or working load


4 M

U

W-18

12

Define creep? Explain creep curve with stages          .

Creep:   When a machine component is subjected to constant stress (load) at high temperature for a long period of time, it will undergo a slow and progressive permanent deformation called creep.

 


Creep curve has three stages:

1.      Primary creep

2.      Secondary creep

3.      Tertiary creep

First Stage: Primary Creep

1.      It is called primary creep.

2.      It is shown by curve AB.

3.      In this stage, the creep rate decreases with time.

Second Stage: Secondary Creep

1.      It is called secondary creep.

2.      It is shown by curve BC.

3.      In this stage, the creep rate remains constant with time.

4.      This stage covers the maximum period of the total life of the component.

Third Stage: Tertiary Creep

1.      It is called tertiary creep.

2.      It is shown by curve CD.

3.      In this stage, the creep rate increases rapidly with time.

4.      At the end of this stage, necking occurs and the component fails.

Examples :

·         Creep behavior is important for materials used at high temperature and under constant stress for long time.

·         Examples: turbine blades, boilers, pressure vessels.

3 M

U,A

W-17

13

State the theories of elastic failure. Explain any two.  OR

Explain maximum normal stress theory and maximum shear stress theory with equations.

Maximum Principal Stress Theory: This theory states that failure occurs when the maximum principal stress from a combination of stresses equals or exceeds the value obtained for the direct stress at yielding in a simple tension test.

        


Maximum Shear Stress Theory: This theory states that failure occurs when the maximum shear stress from a combination of stresses equals or exceeds the value obtained for the shear stress at yielding in the simple tensile test.

Mathematically,               τ max = τyt /FoS                                                 ... (i)

where  ,    

τmax = Maximum shear stress in a bi-axial stress system,

τyt = Shear stress at yield point as determined from simple tension test, and

 FoS = Factor of safety.

Since the shear stress at yield point in a simple tension test is equal to one-half the yield stress in tension,

 therefore the equation (i) may be written as

                                                       τmax = 2 x  σ yt x foS

This theory is mostly used for designing members of ductile materials

8 M

U,A

W-17

 

14

Define machine design.

Machine Design : It is creation of new or modified plan for the machine to perform desired functions.

                                                            Or

It is the process of selection of the material, shape, size and arrangement of mechanical element so that the result machine will perform the prescribed task.

2 M

U

W-17

15

State and explain main considerations in machine design.

Following main considerations are important during machine design

·  Type of load and stresses
Machine parts are subjected to different loads, which create internal stresses.

·  Motion of parts (Kinematics)
Machine parts should have simple motion to work properly.
Types of motion are:
(a) Rectilinear – straight line motion (unidirectional, reciprocating)
(b) Curvilinear – rotary, oscillatory, simple harmonic motion
(c) Constant velocity
(d) Constant or variable acceleration

·  Selection of materials
Designer must know material properties like strength, durability, weight, heat and corrosion resistance, machinability, etc.

·  Form and size of parts
Parts should be of proper shape and minimum safe size to withstand forces and impact loads.

·  Friction and lubrication
Friction causes power loss, so proper lubrication is necessary for smooth operation.

·  Convenience and economy
Machine should be easy to operate, adjust, maintain and economical in production.

·  Use of standard parts
Standard parts like bolts, nuts, gears and bearings should be used to reduce cost and time.

·  Safety of operation
Safety devices must be provided to protect the operator from moving parts.

·  Workshop facilities
Design should match available workshop tools and manufacturing facilities.

·  Number of machines to be produced
Design depends on production quantity; small quantity requires simple and standard design.

·  Cost of construction
Manufacturing cost should be minimum without affecting performance.

·  Assembling
Machine should be easy to assemble, transport and install at its working location.

6 M

R

W-16

16

State four types of loads acting on machine elements.

1. Dead or steady load. A load is said to be a dead or steady load, when it does not change in magnitude or direction.

2. Live or variable load.A load is said to be a live or variable load, when it changes continually.

3. Suddenly applied or shock loads. A load is said to be a suddenly applied or shock load, when it is suddenly applied or removed.

4. Impact load. A load is said to be an impact load, when it is applied with some initial velocity

2 M

R

W-17

17

State &Explain general design procedure.


 

1. Recognition of need. First of all, make a complete statement of the problem, indicating the need, aim or purpose for which the machine is to be designed.

2. Synthesis (Mechanisms). Select the possible mechanism or group of mechanisms which will give the desired motion.

3. Analysis of forces. Find the forces acting on each member of the machine and the energy transmitted by each member.

 4. Material selection. Select the material best suited for each member of the machine.

5. Design of elements (Size and Stresses). Find the size of each member of the machine by considering the force acting on the member and the permissible stresses for the material used. It should be kept in mind that each member should not deflect or deform than the permissible limit.

6. Modification. Modify the size of the member to agree with the past experience and judgment to facilitate manufacture. The modification may also be necessary by consideration of manufacturing to reduce overall cost.

7. Detailed drawing. Draw the detailed drawing of each component and the assembly of the machine with complete specification for the manufacturing processes suggested. Prepare assembly drawing giving part numbers, overall dimensions and part list. The component drawing is supplied to the shop flow for manufacturing purpose, while assembly drawing is supplied to the assembly shop

8. Production. The component, as per the drawing, is manufactured in the workshop.

4 M

R,U

S24,25

18

Explain importance of aesthetics consideration in design with examples.

Aesthetics means the appearance and look of a product. It is important because people like products that look good.

Importance with examples:

1.      Attracts customers
Good-looking products attract more people.
Example: A stylish mobile phone attracts more buyers.

2.      Increases product value
Attractive design increases demand and price.
Example: Cars with good shape and finish sell better.

3.      Gives good impression
A neat design makes the product look reliable and high quality.
Example: A modern machine looks more trustworthy.

4.      Improves user satisfaction
Pleasant shape and color make the product enjoyable to use.
Example: Tools with smooth finish are comfortable to use.

5.      Helps in market success
Even a good product may fail if it looks bad.
Example: Between two same mixers, the better-looking one sells more.

Aesthetic design makes the product attractive, acceptable in the market, and successful.

6 M

U

W17,18

19

State the meaning of colour codes in aesthetic design:  a)Red  b) Orange  c) Green d) Blue

1

Red

Danger

2

Orange

Possible Danger

3

Green

safe

4

Blue

cold

4 M

R

W16,S23

20

State general equation for bending moment & state meaning of each term.

Bending moment :


M = Bending moment acting at the given section

I = M.I. of the cross section about  neutral axis

σb= Bending stress

y = Distance from  neutral axis to extreme fibre

E = Young’s modulus of the material of beam

R = Radius of curvature of the beam

2 M

R

S-18

21

State torsion equation and state meaning of each  term

Torsional equation: 



T = Torque or twisting moment ,

J = Polar m.I

t = Torsinal shear stress or maximum shear stress

r = Radius of the shaft c = Modulus of rigidity

l = length of the sha

 q = Angle of twist in radians on a length l

2 M

R

S-18

 

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