# FORMAT OF I A TEST QUESTION PAPER (CIE)

 Test/Date and Time Semester/year Course/Course Code Max Marks Ex: I test/6 the weak of sem 10-11 Am I/II SEM Strength of Materials 20 Year: Course code:15ME31T Name of Course coordinator :                                                                                             Units:   CO’s: Question no Question MARKS CL CO PO 1 2 3 4

 MODEL QUESTION PAPER (CIE)

Note: Internal choice may be given in each CO at the same cognitive level (CL).

 Test/Date and Time Semester/year Course/Course Code Max Marks Ex: I test/6 the weak of sem 10-11 Am III SEM Strength of Materials 20 Year: 2015-16 Course code:15ME31T Name of Course coordinator :   Note: Answer all questions Units:1, Co: 1,2,3.9 Question no Question CL CO PO 1 Explain linear and lateral strain                  3 MARKS U 1 1,2, 3,9 2 A bar of 30mm diameter is subjected to an axial pull of 80KN. The A 1 1,2, measured  extension  is  0.1  mm  on  a  gauge  length  of  200mm  and the change  in  diameter  is  0.004mm.  Calculate  the  poison’s  ratio  and  the 3,9 values of young’s Modulus, bulk modulus, and Modulus of rigidity. 7 MARKS 3 A mild steel bar of 15mm diameter was subjected to a tensile test. The test bar was found to yield at a load of 90KN and it attains maximum A 1 1,2,

 load of 180KN and ultimately fails at a load of 67.5 KN. Determine the following: tensile stress at the yield point, ultimate stress and stress at the breaking point, if the diameter of the neck is 7.5mm. OR   A bar of steel 1m long 50mm wide and 10mm thickness is subjected to an axial load of 10KN in the direction of its length. Find the changes in length, width, thickness and volume.10 MARKS 3,9

MODEL QUESTION PAPER (SEE)

Diploma in Mechanical Engineering III Semester

Course Title: STRENGTH OF MATERIALS

(Answer any 6 questions from part A and Any 7 from Part B) PART-A(Each question carries 5 marks)

1.       Define bulk Modulus and Shear Modulus

2.       Explain thermal stress and Shear Modulus

3.       State Parallel and perpendicular axis theorem

4.       Locate CG for Triangle Rectangle, Circle, Semi-circle, Trapezium, Cone with the help of plain figure

5.       Define Shear force and Bending Moment in beams

6.       Explain Point of Contra flexure in a beam

7.       List the assumptions in theory of simple bending

8.       Explain Beams of Uniform Strength

9.       Explain Strain energy and Resilience

## PART-B(Each questions carries 10 marks)

1.          A steel rod 30mm x 12.5mm and 500mm long is subjected to a axial pull of 75KN. Determine the changes in length, width and thickness and volume of bar. If young’s modulus is 200KN/mm2.

2.          A bar of 30mm diameter is subjected to an axial pull of 80KN. The measured extension is 0.1 mm on a gauge length of 200mm and the change in diameter is 0.004mm. calculate the poisson’s ratio and the values of young’s Modulus, bulk modulus and Modulus of rigidity.

3.          An I section consists of top flange 100 X 30 mm, bottom flange 200 X 40 mm and web 180 X 20 mm. Find the M.I. about an axis passing through C.G. parallel to the base.

4.          Calculate M.I. of an angle section 100 X 80 X 10 mm about an axis passing through the centroid and parallel to shorter leg.

5.          A cantilever of length 3 m carries a uniformly distributed load of 1.5 KN/m for entire length and a point load of 2 KN at a distance of 1 m from the free end. Draw the  shear force and the bending moment diagrams for the beam.

6.          A simply supported beam of length 5 m carries point loads of 2 KN and 4 KN and 5 KN at a distance of 1 m, 3 m and 4 m from left support. Draw S.F. and B.M. diagrams for the beam.

7.          A steel plate is bent into a circular arc of radius 10m.The plate is 100mm wide and 15mm thick, assuming the value of E=2X105 N/mm2.Find the maximum stress induced in the plate and value of bending moment which produced this stress.

8.          A simply supported wooden beam of span 1.3 m is carrying a central point load of 40 KN. If the allowable bending stress in the timber is taken as 8 N/mm2, find the breadth and depth of the timber. Take b=0.6d.

9.          (a).List the assumptions made in the theory of Torsion                                                                                        -5M

b)An axial pull of 25KN is suddenly applied on a steel rod of 3 m long and 900mm2 in cross-sectional area. Calculate the strain energy stored in the rod. Take young’s modulus is 2x105 N/mm2.                                                                   –5M

10.     A solid circular shaft is required to transmit 80KW at 160 rpm. The permissible shear stress in the shaft is 60 N/mm2.The maximum Torque transmitted exceeds the mean torque by 20% more than mean torque. The angle of twist is not to exceed 10 in a length of 20 times the diameter of the shaft.  The valve of  rigidity  modulus is 0. 8x105 N/mm2.

# MODEL QUESTION BANK

Diploma in Mechanical Engineering III Semester

Course title: STRENGTH OF MATERIALS

LEVEL: REMEMBER QUESTIONS

1.       Define Poisson’s ratio and Modulus of Rigidity

2.       Define bulk Modulus and Shear Modulus

3.       Describe maximum stress and factor of safety

LEVEL: UNDERSTANDING QUESTIONS

4.       Explain linear and lateral strain

5.       Explain thermal stress and volumetric strain

6.       Explain Hoop’s stress and longitudinal stress in thin cylindrical shells

7.       Explain thermal stress and Shear Modulus

LEVEL: APPLICATION QUESTIONS

8.       Relate between elastic constants

9. Draw stress strain diagram for Ductile materials with all parameters 10.Draw stress strain diagram for Brittle materials with all parameters

11..A load of 5KN is to be raised with the help of a steel wire. Find the diameter of the steel wire, if the stress is not to exceed 100MPa.

12.A tensile test is performed on a brass specimen 10mm in diameter using a gauge length of 50mm. When applying axial tensile load of 25KN, it was observed that the distance between the gauge marks increase by 0.152mm, calculate modulus of elasticity of brass.

13.A punch with a diameter 20mm is used to punch a hole in an aluminium plate of thickness 4mm .If the ultimate shear stress for the aluminium is 275MPa, what force P is required to punch through the plate.

14. The following data pertains to a tension test conducted in laboratory:

i.               Diameter of the specimen = 15mm

ii.              Length of the specimen = 200mm

iii.            Extension under a load of 10 KN=0.035mm

iv.            Load at yield point = 110KN

v.              Maximum load = 190 KN

vi.            Length of the specimen after failure = 255mm

vii.           Neck diameter = 12.25mm

Determine: i) Young’s modulus, ii) Yield stress iii) Ultimate stress, iv) Percentage elongation, v) percentage reduction in area, vi) safe stress adopting factor of safety of 1.5.

15.A rod of diameter 15mm and 50mm long is subjected to tensile load of 25KN. The modulus of elasticity for steel rod may be taken as 200 KN/mm2. Find stress, strain and elongation of the bar due to applied load.

16.A rod of cross sectional area 15mm x 15mm and 1m long is subjected to a compressive load of 22.5KN. calculate the stress and decrease in length if young’s modulus is 200GN/m2.

17.A load of 4KN is to be raised with the help of a steel wire. The permissible tensile stress should not exceed 70N/mm2. What is the minimum diameter of wire required? What will be extension for 3.5m length of wire? Assume young’s modulus is 196.2

GN/m2.

18.A mild steel bar of 15mm diameter was subjected to tensile test. The test bar was found to yield at a load of 90KN and it attains maximum load of 180KN and ultimately fails at a load of 67.5 KN. Determine the following: tensile stress at the yield point, ultimate stress and stress at the breaking point, if the diameter of the neck is 7.5mm.

19. The following data pertains to a tension test conducted in laboratory:

i.               Diameter of the specimen = 20mm

ii.              Gauge Length of the specimen = 100mm

iii.            Final length=130mm

iv.            Final diameter =11.5mm

v.              Yield Load = 92KN

vi.            Ultimate load = 165 KN

Determine: i) Yield stress ii) Ultimate tensile stress, iii) Percentage elongation,

iv) percentage reduction in area.

20.A hallow steel column has to carry an axial load of 3MN. If the external diameter of the column is 300mm, find the internal diameter. The ultimate stress for steel is to be 480N/mm2. Take factor of safety as 4.

21.A short column has an internal diameter of 200mm. What should be the minimum external diameter so that it may carry a load 1600KN with factor of safety 7.5. Take ultimate stress of steel as 472N/mm2.

22.A steel rod 30mm x 12.5mm and 500mm long is subjected to a axial pull of 75KN. Determine the changes in length, width and thickness and volume of bar. If young’s modulus is 200KN/mm2.

23.A steel bar 2.4 long and 30mm square is elongated by a load 400KN. If poisons ratio is

0.25 find the increase in volume. Assume E=200KN/mm2.

24.The young’s modulus for a given material is 100KN/mm2and its modulus of rigidity is 40KN/mm2. Determine its bulk modulus and also its lateral contraction if the diameter is 50mm and length 2m and extension 2mm.

25.A bar of steel 1m long 50mm wide and 10mm thickness is subjected to an axial load of 10KN in the direction of its length. Find the changes in length, width, thickness and volume.

26.A     bar of 30mm diameter is subjected to an axial pull of 80KN. The measured extension is 0.1 mm on a gauge length of 200mm and the change in diameter is 0.004mm. calculate the poisson’s ratio and the values of young’s Modulus, bulk modulus and Modulus of rigidity.

LEVEL: REMEMBER

1.     Define centre of Gravity and Moment of Inertia

2.     State Parallel and perpendicular axis theorem

LEVEL: UNDERSTANDING

3.     Locate CG for Triangle Rectangle, Circle, Semi-circle, Trapezium, Cone with the help of plain figure

LEVEL: APPLICATION

4.     Determine the centroid of the T-section of a flange 100 X 10 mm. Also find the

M.I. of the section about XX axis through centroid.

5.     Find the centre of gravity of the I-section having top flange of 100 X 20 mm, web 120 X 20 mm and bottom flange 150 X 20 mm. Also find M.I. of the section about XX axis passing through C.G. of the section.

6.     Find the C.G. of L-section of dimensions 100 X 80 X 20 mm. Also find the M.I. of the section through C.G. and parallel to shorter leg.

7.     Find the moment of Inertia about the centroidal axis XX and YY of the T-section 160 mm wide and 160 mm deep. The flange and web thickness 50 mm each.

8.     Find the M.I. about the centroidal XX axis parallel to the flange for the T-beam. Size of the flange120 X 20 mm, size of web 120 X 20 mm.

9.     An I section consists of top flange 100 X 30 mm, bottom flange 200 X 40 mm and web 180 X 20 mm. Find the M.I. about an axis passing through C.G. parallel and perpendicular to the base.

10.  Calculate M.I. of an angle section 100 X 80 X 10 mm about an axis passing through the centroid and parallel to shorter leg.

11.  Calculate the C.G. and moment of inertia for a Channel section of size 100 X 100 X 20 mm about XX and YY axis.

LEVEL: REMEMBER

1.     Define Shear force and Bending Moment in beams

2.     Name the types of loads acting on beams with illustration

LEVEL: UNDERSTANDING

3.     Explain Sagging and Hogging bending Moment

4.     Explain Point of Contra flexure in a beam

LEVEL: APPLICATION

5.     A cantilever beam of length 3m subjected to a point load of 5 KN, 8KN and 12 KN at a distance of 1m, 1.5m and 2.5m from the free end. Draw SFD and BMD.

6.     A cantilever beam of length 4m subjected to a point load of 3 KN, 5KN and 8 KN and 10 KN at a distance of 1m, 1.5m and 3m and 3.5 m from the free end. Draw SFD and BMD.

7.     A cantilever beam of length 3 m subjected to two point loads of 10 KN acting at the free end and 15KN at the middle of the beam. Draw SFD and BMD.

8.     A cantilever beam 1.5 m long carries point loads of 1 KN, 2KN and 3 KN at 0.5 m, 1.0 m and 1.5 m from the fixed end respectively. Draw the SFD and BMD for the beam.

9.     A cantilever beam of 1.4 m length carries a uniformly distributed load of 1.5 KN/m over its entire length. Draw S.F and B.M diagrams for the cantilever.

10.  A cantilever AB 1.8 m long carries a point load of 2.5 KN at its free end and a uniformly distributed load of 1 KN/m from A to B. Draw the shear force and the bending moment diagrams for the beam.

11.  A cantilever beam of 2 m length carries a uniformly distributed load of 1.5 KN/m over its entire length and also a point load of 3 KN at a distance of 0.5 m from the free end. Draw S.F and B.M diagrams for the cantilever.

12.    A cantilever of length 2.5 m carries a uniformly distributed load of 2 KN/m for a length of 2 m from the free end and a point load of 2 KN at the free end. Draw the shear force and the bending moment diagrams for the beam.

13.    A cantilever of length 3 m carries a uniformly distributed load of 1.5 KN/m for entire length and a point load of 2 KN at a distance of 1 m from the free end.  Draw the shear force and the bending moment diagrams for the beam.

14.    A cantilever 5 m long carries point loads of 30 KN and 10 KN at a distance of 1 m from the fixed end. In addition to this the beam carries a UDL of 10 KN/m between point loads. Draw shear force and bending moment diagrams for the cantilever.

15.  A simply supported beam of length 6 m carries point loads of 2.5 KN and 4 KN at a distance of 2 m and 4 m from left support. Draw S.F. and B.M. diagrams for the beam.

16.  A simply supported beam of length 5 m carries point loads of 2 KN and 4 KN and 5 KN at a distance of 1 m, 3 m and 4 m from left support. Draw S.F. and B.M. diagrams for the beam.

17.        A simply supported beam of length 8m carries a UDL of 10KN/m for a distance of 6m from left support. Draw S.F and B.M diagram for the above beam. Also calculate the maximum B.M. on section.

18.  A simply supported beam of length 8m carries two point loads of 30KN and 40KN respectively at a distance of 1.5m and 6.5m from the left support. Also it carries a UDL of 10KN/m between the point loads, draw shear force and bending moment diagram.

19.  A simply supported beam of 6m span is carrying a UDL of 20KN/m over a length of 3m from right support. Draw S.F d and BMD. Also calculate maximum B.M.

20.  Draw S.F and B.M diagram for a simply supported beam 6m long carrying UDL of 2KN/m over the entire length and point loads of 5 KN,4 KN and 3 KN at 3m,4m and 5m from left support respectively.

21.  A simply supported beam of span 6m carries two point loads of 5 KN and 10 KN at 1m and 2m respectively from left support and also carries an UDL of 10KN/m over a length of 3m from the right support. Draw SFD and BMD.

LEVEL: REMEMBER

1.     List the aassumptions in theory of simple bending

2.     Describe the relation between Bending Stress and Radius of Curvature

3.     Describe the moment of resistance and radius of Curvature in a beam

LEVEL: UNDERSTANDING

4.     Explain Beams of Uniform Strength

5.     Explain modulus of Section for Rectangular and Circular sections

LEVEL: APPLICATION

1.     Write Bending equations with all notation

2.     A steel wire of 10mm diameter is bent into circular shape of 5m radius, determine the maximum stress induced in the wire. Take E=2X105 N/mm2.

3.     A steel plate is bent into a circular arc of radius 10m.The plate is 100mm wide and 15mm thick, assuming the value of E=2X105 N/mm2.Find the maximum stress induced in the plate and value of bending moment which produced this stress.

4.     The moment of inertia of a beam section 500mm deep is 700X106 mm4.Find the longest span over which a beam of this section when simply supported could carry a UDL of 40 KN/m. The maximum flange stress in the material is not to exceed 110 N/mm2.

5.     A cast iron pipe of external diameter 65mm and internal diameter of 45mm and of length 5m is supported at its ends. Calculate the maximum bending stress induced in the pipe if it carries a point load of 100N at its centre.

6.     A rectangular beam 300mm deep is simply supported over a span of 4m. What UDL/m the beam can carry if bending stress is not to exceed 120 N/mm2. Take I=80X106mm4.

7.     A timber joist 150 X 250 mm is simply supported over a span of 3m. If it carries a total UDL of 10 KN/m inclusive of its weight, find the maximum stress induced in the joist.

8.     A rectangular beam 300 mm deep is simply supported over a span of 4 m. What UDL the beam may carry if the bending stress is not to exceed 120 MPa. Take I=225 X 106 mm4.

9.     A simply supported wooden beam of span 1.3 m is carrying a central point load of 40 KN. If the allowable bending stress in the timber is taken as 8 N/mm2, find the breadth and depth of the timber. Take b=0.6d.

10.  A circular pipe of external diameter 70 mm and thickness 10 mm is used as a simply supported beam over an effective span of 2.5 m. Find the maximum point load that can be applied at the centre of span if permissible stress in the tube is 150 N/mm2.

11.  .A steel plate is bent into an arc of a circle of radius 10 m. If the breadth of the plate is 150 mm and thickness 25 mm and E=2X105 N/mm2, calculate the maximum stress induced in the plate and the bending moment which can produce this stress.

12. A timber is freely supported and has a span of 6 m. If the UDL of 10 KN/m and a point load of 5 KN at a point 3.5 m from left support is loaded. Determine the dimensions of the beam. Assume depth of beam as twice as its breadth. Take f=10 N/mm2

13. A beam is simply supported and carries UDL of 30 KN/m over the entire span. The section of the beam is rectangular having depth of 400mm. If maximum stress in the material is 120 N/mm2 and M.I. of the section is 7 X 108, find the span of the beam.

14.

LEVEL: UNDERSTANDING

1.     Explain Strain energy and Resilience

2.     Explain proof resilience and modulus of resilience

3.     Explain Suddenly applied and gradually applied load

4.     Explain Suddenly applied and Impact load

LEVEL: APPLICATION

5.     Calculate the strain energy stored in a bar 2.5 m long ,50mm wide and 40mm thick when it is subjected to a tensile load of 50KN.Take young’s modulus is 2x105 N/mm2

6.     An axial pull of 25KN is suddenly applied on a steel rod of 3 m long and 900mm2 in cross-sectional area. Calculate the strain energy stored in the rod. Take young’s modulus is 2x105 N/mm2.

LEVEL: REMEMBER

1.       List the assumptions made in theory of Torsion

LEVEL: APPLICATION

2.       Write the torsion equation with all notations

3.       Compare the Strength of Hollow and Solid shaft

4.       A solid circular shaft is required to transmit 100KW at 200 rpm. The permissible shear stress in the shaft is 70 N/mm2.Find the diameter of the shaft.

5.       A solid circular shaft is required to transmit 90KW at 180 rpm. The permissible shear stress in the shaft is 75 N/mm2.The maximum Torque transmitted exceeds the mean torque by 20% more than mean torque. Find the suitable diameter of the shaft.

6.       .A solid circular shaft is required to transmit 120KW at 180 rpm. The permissible shear stress in the shaft is 70 N/mm2.The maximum Torque transmitted exceeds the mean torque by 30% more than mean torque. Find the suitable diameter of the shaft. Also find the angle of twist in a length of 2 meter. The valve of rigidity modulus is 0. 9x105 N/mm2.

7.       A solid circular shaft is required to transmit 100KW at 180 rpm. The permissible shear stress in the shaft is 60 N/mm2. Find the suitable diameter of the shaft. The angle of twist is not to exceed 10 in a length of 3 meter. The valve of rigidity modulus is 0. 8x105 N/mm2.

8.       A solid shaft of diameter is 110 mm required to transmit 180KW at 120 rpm. The angle of twist is not to exceed 1.50 .Find the length of  shaft.  The  valve  of rigidity modulus is 0. 8x105 N/mm2.

9.       A solid circular shaft is required to transmit 40KW at 120 rpm. The permissible shear stress in the shaft is 40 N/mm2.The maximum Torque transmitted exceeds

the mean torque by 25% more than mean torque. Find the suitable diameter of the shaft.

10.   A solid circular shaft is required to transmit 80KW at 160 rpm. The permissible shear stress in the shaft is 60 N/mm2.The maximum Torque transmitted exceeds the mean torque by 20% more than mean torque. The angle of twist is not to exceed 10 in a  length of  20 times the diameter of the shaft.   The valve of   rigidity modulus is 0. 8x105 N/mm2.Find the diameter of the shaft.

11.   8. A solid circular shaft is required to transmit 75KW at 200 rpm. The permissible shear stress in the shaft is 50 N/mm2.The maximum Torque transmitted exceeds the mean torque by 20% more than mean torque. The angle of twist is not to exceed 1.20 in a length of  30 times the diameter of the shaft.  The valve of  rigidity modulus is 84x103N/mm2.Find the diameter of the shaft.

12.   A solid circular shaft is required to transmit 1MW at 240 rpm. The permissible shear stress in the shaft is 60 N/mm2.The maximum Torque transmitted exceeds the mean torque by 25% more than mean torque. The angle of twist is not to exceed 10 in a length of 2.5 meter. The valve of rigidity modulus is 80KN/mm2.Find the diameter of the shaft.

13.   A Hollow shaft is required to transmit 300KW at 90 rpm. The permissible shear stress in the shaft is 60 N/mm2.The maximum Torque transmitted exceeds the mean torque by 25% more than mean torque. The internal diameter is half of the external diameter, Find the internal diameter and external, diameters of the shaft.

14.   A Hollow shaft is required to transmit 500KW at 100 rpm. The permissible shear stress in the shaft is 60 N/mm2.The maximum Torque transmitted exceeds the mean torque by 15% more than mean torque. The internal to external diameter ratio is 3/5. The angle of twist is not to exceed 10 in a length of 3.5 meter The valve of  rigidity   modulus is 80KN/mm2.Find the minimum external   diameter  of the shaft.

15.   A solid circular shaft is required to transmit 40KW at 400 rpm. The Ultimate shear stress in the shaft is 360 N/mm2 with a factor of safety as 8.The maximum Torque transmitted exceeds the mean torque by 15% more than mean torque. Find the diameter of the shaft.

16.   If a Hollow shaft is to be used in place of solid shaft, Find the internal diameter and external, diameters of the shaft with the internal to external diameter ratio is 1/2.The material is same