Summer 2016 Strength of Materials Question Paper

************

GUJARAT TECHNOLOGICAL UNIVERSITY
DIPLOMA ENGINEERING – SEMESTER – III • EXAMINATION – SUMMER 16
Subject Code: 3331904 Date: 24.05.2016
Subject Name: Strength of Materials
Time: 02:30 PM TO 05:00 PM Total Marks: 70

Instructions:
1. Attempt all questions.
2. Make Suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
4. Use of programmable & Communication aids are strictly prohibited.
5. Use of only simple calculator is permitted in Mathematics.
6. English version is authentic.

************

Q.1 Answer any seven out of ten. 14

1. Explain Hooke’s Law.

2. Explain Composite Section.

3. Define resilience & proof resilience.

4. Explain perpendicular axis theorem with neat sketch.

5. Define S.F. & B.M.

6. Define Neutral axis.

7. Define slope & deflection.

8. Define long column & short column

9. Define Polar moment of inertia & angle of twist.

10. Differentiate rivet joint & welded joint

Q.2 (a) Define Stress, Strain and modulus of elasticity. 03

OR

(a) An axial tension of 50kN is applied to a rod of 4m length and 500mm2 in sectional area.
The increase in length is found to be 2mm. calculate stress and strain. 03

(b) Differentiate statically determinate and indeterminate beam. 03

OR

(b) Draw B.M. diagram for a beam shown in figure-1. 03

(c) Find Ixx of the section shown in figure-2. 04

OR

(c) Explain parallel axis theorem. 04

(d) A 10mm long mild steel rail section is fixed at 3000 C temperature. If temperature increases
 by 600 C find stress in rail section for 5mm gap at one end. 04

OR

(d) An axial compressive load of 80kN is suddenly applied to a steel rod of 16mm diameter and 1m length. Find strain energy developed in the bar. Take E= 2 x 105 N/mm2 04

Q.3 (a) Draw S.F. diagram for a beam shown in figure-3. 03

OR

(a) Draw B.M. diagram for a beam shown in figure-3. 03

(b) Assumptions made in theory of bending. 03

OR

(b) Calculate bending stress for a simply supported beam 6m in span. The width of beam is
300mm and depth is 600mm. The beam carries a u.d.l of 40kN/m over the whole span. 03

(c) Draw the shear stress distribution diagrams of rectangular, hollow rectangular, circular
and hollow circular sections. 04

OR

(c) A beam having cross section dimension 300x450mm is subjected to shear force of 100kN.
Find the maximum shear stress and draw the shear stress distribution diagram. 04

(d) A simply supported beam 3m in span is subjected to u.d.l. of 10kN/m over entire span with central point load of 5kN. The cross section of beam is 150x300mm. calculate the maximum
slope for the beam. 04

OR

(d) A simply supported beam 3m in span is subjected to u.d.l. of 10kN/m over entire span with central point load of 5kN. The cross section of beam is 150x300mm. calculate the maximum deflection for the beam. 04

Q.4 (a) State equation of torsion and give assumption for theory of torsion. 03

OR

(a) Find the torque which a shaft of 200mm diameter can transmit safely if, the permissible shear stress is 50N/mm2. 03

(b) Limit of eccentricity. 04

OR

(b) A 300mm square column is subjected compressive force of 150kN at an eccentricity of 125mm along any axis. Find maximum & minimum stresses and draw stress diagram. 04

(c) Find normal, tangential and resultant stress on plan “EF” shown in figure-4. 07

Q.5 (a) Draw the core of section diagrams of rectangular section, circular section, Tsections
and I-section. 04

(b) Explain column end conditions and effective length. 04

(c) Explain principal plane and principal stress. 03

(d) Classification of engineering materials based on physical properties. 03

************

10kN 10kN/m
0.5m 0.5m 1m
Fig-1
3kN 2kN/m
2m 2m 3m
Fig-3
3kN
100m
m
50mm
15m
m
50mm
15mm
15m
m
Fig-2
Ø=450
2
1   200N /mm
2  100N /mm
2
2  100N /mm
Fig-4
F
E

Winter 2015 Strength of Materials Question Paper

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GUJARAT TECHNOLOGICAL UNIVERSITY
DIPLOMA ENGINEERING – SEMESTER –III • EXAMINATION – WINTER 2015
Subject Code: 3331904 Date: 09- 12- 2015
Subject Name: Strength of Materials
Time: 10:30 AM TO 01:00 PM Total Marks: 70

Instructions:
1. Attempt all questions.
2. Make Suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
4. Use of programmable & Communication aids are strictly prohibited.
5. Use of scientific calculator is permitted.
6. English version is authentic.

***********

Q.1 Answer any seven out of ten. 14

1. Define Stress and Strain.

2. Explain Hooke’s Law.

3. Explain Strain Energy.

4. Explain Thermal Stress.

5. Explain Point of contraflexure.

6. State the relation between load, shear force and bending moment.

7. Define: Section modulus, Slenderness ratio.

8. Explain Parallel axis theorem.

9. Differentiate between column and strut.

10. Differentiate between ductility and Brittleness.

Q.2 (a) A steel bar of 16mm diameter and 2m long is subjected to an axial tension of 35kN. The increase in length is 2mm. calculate stress, strain and modulus of elasticity. 03

OR

(a) A weight of 5kN is to be lifted by a steel wire. If maximum stress in the wire  is not to exceed 100N/mm2, calculate diameter of wire. 03

(b) Explain stress – strain curve for tension test on mild steel. 03

OR

(b) State assumptions in the theory of simple bending. 03

(c) A R.C.C. column 300mmx300mm in section is having 4 bars – 20mm diameter, one at each corner. Calculate load taken by the column. Permissible stresses in concrete is 5N/mm2 and modular ratio Es/Ec = 9. 04

OR

(c) A steel bar 600mm long 20mm diameter is secured between two rigid walls. If temperature is increased by 100oc, find nature and magnitude of the force developed in the bar.
Take E=2x105 N/mm2 and α = 12x10-6/oc. 04

(d) Explain Brinnel Hardness Test. 04

OR

(d) Explain Izod Impact Test. 04

Q.3 (a) A simply supported beam of 5m span is subjected to a central point load of 30kN along with UDL of 10kN/m over entire span. Draw shear force diagram for the beam. 03

OR

(a) A cantilever beam of 3m span is subjected to UDL of 5kN/m over entire span along with point load of 10kN at its free end. Draw shear force diagram for the beam. 03

(b) Draw bending moment diagram for the simply supported beam of 5m span of Q3(a) 03

OR

(b) Draw bending moment diagram for the cantilever beam of 3m span of Q3(a) (OR). 03

(c) Calculate maximum bending stress induced in a 5m long simply supported beam subjected to UDL of 50kN/m over entire span. The cross section of the beam is rectangular having 600mm depth. Take I=5.4x109 mm4. 04

OR

(c) State and explain equation of bending. 04

(d) A cantilever beam is of 2m span having its cross section 200mm x 300mm. If maximum bending stress is not to exceed 20N/mm2, Find value of point load to be placed at its free end. 04

OR

(d) Draw sketches for core of rectangular section of 600mmx300mm size and circular section having 300mm diameter. 04

Q.4 (a) slope and deflection of beam with sketches. 03

OR

(a) Explain limit of eccentricity. 03

(b) A cantilever beam having cross section 100mm x 200mm is 3m long. What UDL should the beam carry to produce a deflection of 10mm at free end. Take E=2x105N/mm2. 04

OR

(b) A column 5m long with both ends fixed has hollow circular section of 120mm external diameter and 10mm thickness. Find Euller’s buckling load. Take E=2x105N/mm2. 04

(c) At a certain point in a strained material a direct tensile stress of 100 N/mm2 and shear stress of 60 N/mm2 are acting. Find principal stresses and locate principal planes. 07

Q.5 (a) Calculate Moment of Inertia of an angle section 90mm x 90mm x 10mm. 04

(b) A square column of 300mm side is carrying a load of 60 kN at an eccentricity of 100mm on X-X axis, determine maximum and minimum stress induced in the section. 04

(c) Find the torque which a shaft of 200mm diameter can transmit safely, if the permissible shear stress is 50N/mm2. 03

(d) Define : Twisting Moment, angle of Twist, Polar Moment of Inertia. 03

************

Winter 2016 Strength of Materials Question Paper

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GUJARAT TECHNOLOGICAL UNIVERSITY
DIPLOMA ENGINEERING – SEMESTER – 3 • EXAMINATION – WINTER- 2016
Subject Code: 3331904 Date: 28-11-2016
Subject Name: Strength of Materials
Time: 10:30 AM TO 01:00 PM Total Marks: 70

Instructions:
1. Attempt all questions.
2. Make Suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
4. Use of programmable & Communication aids are strictly prohibited.
5. Use of only simple calculator is permitted in Mathematics.
6. English version is authentic.

***********

Q.1 Answer any seven out of ten. 14

1. Define Stress and Stain.

2. Define Bulk Modulus and Modulus of Rigidity.

3. Explain Section Modulus and Radius of Gyration.

4. Explain Hogging Moment and Sagging Moment.

5. Define Slope and Deflection in Beam.

6. Define Principal Plane and Principal Stress.

7. Write Values of Effective Length of column for various column end conditions.

8. Draw figure with dimensions of Core or Kernal of a Rectangular and Circular section.

9. Define Torque and Angle of Twist.

10. Draw the figure with dimensions of Specimens of Izod impact test and Charpy impact test.

Q.2 (a) A mild steel bar having Dia. 20 mm. and Length 1000 mm. is subjected to Axial Tensile force of 150 KN, find the final Length and Dia. of a bar.
Take Modulus of Elasticity = 2 X 105 MPa and Poisson’s Ratio = 0.25. 03

OR

(a) A mild steel bar having cross sectional area = 750 sq. mm. is subjected to Axial Forces as shown in Fig.-1. Find the deformation in the length of bar. Take Modulus of Elasticity = 2 X 105 MPa. 03

(b) Concrete Column having dimensions 300 mm. X 300 mm. is reinforced with 4 Steel bars of 20 mm Dia. Column is subjected to Axial Comp. force of 1000 KN. Find the stresses in Steel and Concrete. Take Modular Ratio = 25 03

OR

(b) A steel bar having Dia. 25 mm. and Length 4 m. is fixed at temperature of 20o C if temperature rise to 45o C find Temperature Stresses developed in bar for (1) No Yield condition and (2)Support yield by 1 mm.  Take Modulus of Elasticity = 2 X 105 MPa and Co-efficient of thermal expansion
= 12 X 10-6 /oC 03

(c) Explain in details Stress Strain Diagram for Mild Steel Specimen 04

OR

(c) Define (1) Strain Energy (2) Resilience (3) Proof Resilience and (4) Modulus of Resilience. 04

(d) Find Moment of Inertia Ixx and Iyy of a T- Section given in Fig.-2 04

OR

(d) A hollow rectangular section having size 250 mm. X 500 mm. and thickness is 25 mm. used as a cantilever beam having span 3 m. and loaded with UDL of 50 KN/m over entire span and Point Load 75 KN at free end. Find Slope and Deflection at free end. Take Modulus of Elasticity
 = 2 X 105 MPa. 04

Q.3 (a) Simply Supported beam having rectangular cross section of size 150 mm. X 300 mm. and span 6 m. is loaded with UDL of 30 KN/m over entire span. Find Slope at supports and deflection at mid span. Take Modulus of Elasticity = 2 X 10 5 MPa 03

OR

(a) Draw Bending Moment Diagram and Shear Force Diagram for a Cantilever Beam Shown in Fig.-3 03

(b) Write down Equation of Bending and explain each term 03

OR

(b) Write down Equation of Torsion and explain each term 03

(c) Draw Bending Moment Diagram and Shear Force Diagram for a Simply Supported Beam Shown in Fig.-4 04

OR

(c) Simply Supported Beam having span 4m. loaded with U.D.L. of 20 KN/m over entire span and central Point Load of 10 KN. If maximum permissible bending stress must not exceed 25 N/mm2 find cross sectional dimensions of Beam. Take Depth of Beam is twice the Breadth (d =2b). 04

(d) At a point in a strained material is subjected to mutually perpendicular tensile stresses of 200 Mpa and 100 Mpa. Determine the intensities of Normal, Tangential and Resultant Stresses on a plane inclined to 30o to the axis of the minor stress. 04

OR

(d) A cast Iron hollow section having 100 mm. external dia. And 75 mm. internal dia. Used as 3 m. long column. Using Rankine’s formula determine crippling load when both ends are fixed.
Take fc = 500 N/mm2 and α = 1/1600. 04

Q.4 (a) Rectangular column section 150 mm. X 250 mm. of Mild Steel is fixed at both ends having 6 m. length. Find the Euler’s crippling load. Take Modulus of Elasticity = 2 X 105 MPa 03

OR

(a) A 2 m. long shaft having dia. 300 mm. subjected to Torque of 200 KN-m. Find the Shear Stress and Angle of Twist in the Shaft Take Modulus of Rigidity = 8 X 104 MPa. 03

(b) At a point on a strained material is subjected to tensile stress of 200 Mpa and shear stress of 75 Mpa. Using Mohr Circle Diagram determine intensities of Normal, Tangential and Resultant stresses on a plane inclined to 60o to the axis of tensile stress. 04

OR

(b) A circular column of 300 mm. dia. is subjected an eccentric load of 100 KN with an eccentricity of 50 mm. Find the maximum and minimum stresses produced in column.
 Draw the stress diagram 04

(c) A rectangular column of 250 mm X 500 mm. is subjected to a point load 250KN acting at one of its outer edge. Calculate stresses at all corner of column. Also draw stress diagram. 07

Q.5 (a) Write note with sketches on (1) Types of Supports (2) Types of Loads and (3) Types of             Beams 04

(b) Explain Perpendicular Axes theorem and Parallel Axes Theorem 04

(c) Write factors affecting slope and deflection in a Beam 03

(d) Write classification of Engineering Materials 03

************

Summer 2015 Strength of Materials Question Paper

***********

GUJARAT TECHNOLOGICAL UNIVERSITY
DIPLOMA ENGINEERING – SEMESTER – III • EXAMINATION – SUMMER 2015
Subject Code: 3331904 Date: 14-05- 2015
Subject Name: Strength Of Material
Time:2:30 pm to 5:00 pm Total Marks: 70

Instructions:
1. Attempt all questions.
2. Make Suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
4. Use of programmable & Communication aids are strictly prohibited.
5. Use of only simple calculator is permitted in Mathematics.
6. English version is authentic.

***********

Q.1 Answer any seven out of ten. 14

1. Define young’s modulus and Poisson’s ratio.

2. State law of principle of superposition.

3. State parallel axis theorem.

4. Define continuous beam and fix beam.

5. Define factor of safety and bulk modulus.

6. Draw shear force distribution diagram for I-section and Angle section.

7. Define slenderness ratio and critical load.

8. What is limit of eccentricity?

9. What is principle plane and principle stress?

10. Differentiate between Ductility and Brittleness.

Q.2 (a) A mild steel bar, 2400mm2 in cross-section is subjected to axial forces as shown in fig.1.If Young’s modulus is 200GPa then find deformation developed in length of the bar. 03

OR

(a) If Young’s modulus (E) and Poisson’s ratio (v) are 200 GPa and 0.25 respectively then find shear modulus (G) and bulk modulus(K). 03

(b) The deformation in the diameter is 0.004 mm, when 32mmϕ bar subjected to 80 kN axial load. If shear modulus is 80 GPa, find Young’s modulus, Bulk modulus and Poisson’s ratio. 03

OR

(b) Mild steel bar, 3m long and 16 mm ϕ, is fixed between two walls at 300K temp. Find the reaction exerted on the wall in the following cases, when it is heated to 390K. (i) Walls are non-yielding and (ii) walls yield by 2mm. For steel, E = 210 GPa and α =12×10-6/K. 03

(c) For an unequal angle 100 × 90 ×10 mm, find MI about XX and YY axis passing from the centroid. 04

OR

(c) Construct SFD and BMD for a simply supported beam as shown in Fig.2. 04

(d) I-section (Symm) is used for 2 m cantilever bracket. Its both flanges and web are 10mm thick. Flanges are 100mm wide and overall depth of beam is 300 mm. If maximum bending stress is 150 MPa then keeping FOS 4, what is the point load applied at free end? Neglect self weight. 04

OR

(d) A beam, rectangular in section , has depth 500 mm and MI = 3.125×109 mm4 . If it is simply supported and carrying full UDL of 200 kN/m then maximum bending stress is 128 MPa. Find its span. 04

Q.3 (a) By applying point load at centre of 3 m simply supported beam , the maximum slope obtained is 10. Find the maximum deflection. 03

OR

(a) 4 m cantilever beam has 250 × 400 mm rectangular section. It carries full span UDL of 98 kN/m. If self weight of beam is 2 kN/m and E = 160GPa , then find the maximum slope and deflection. 03

(b) A hollow circular column, having 300mm ϕ external and 200mm ϕ internal, has a length of 5m. Its one end is fixed and other end is hinged. Find Euler load keeping FOS 3. Take E = 200 GPa. 03

OR

(b) Explain Effective length (Le) and End fixity constant. 03

(c) If the maximum stress induced is 12 MPa due to load applied at midpoint of an edge of 300 mm square,then find maximum stress and load applied. 04

OR

(c) Define : (i) Modulus of rupture (ii) Beam of uniform strength (iii) Moment of resistant. 04

(d) Describe points to be kept in mind while drawing SF and BM diagrams. 04

OR

(d) Draw core for a hollow circular section having 480mm ϕ external and 360 mm ϕ internal. 04

Q.4 (a) The maximum shear stress induced, in a 50mm ϕ solid circular shaft rotating at 150RPM, is 80 MPa. Find power required. 03

OR

(a) 8 m long hollow circular shaft of external 400mm ϕ and internal 200mm ϕ is subjected to a torque of 200kJ. If C = 82 GPa then find the maximum shear stress and angle of twist. 03

(b) Write down equation for torsion and explain each term. 04

OR

(b) Write the Euler’s formula for crippling load and state assumptions. 04

(c) For a stress system as shown in fig.3, find: (a) Principal Stress (b) Principal Planes (c) Max/Min shear stress (d) Their planes and (e) Normal stress on planes of Max/Min shear stress. (Use Graphical Method). 07

Q.5 (a) Differentiate between Charpy Impact test and Izod Impact test. 04

(b) If an impact load of 150N released from 80 mm height and applied at the end of a mild steel bar, 2 m long and 16mm ϕ then find instantaneous stress induced and increase in the length of a bar.
For steel E = 200 GPa. 04

(c) Define : Proof resilience and Modulus of resilience . 03

(d) 24 kN/m UDL is acting on a full span of simply supported beam. For beam, I = 80×106 mm4 and E = 200 GPa. If maximum deflection due to load is 5mm then find the beam span. 03


FIG 1.

FIG 2.

FIG 3

. ************

Winter 2014 Strength of Materials Question Paper

***********

GUJARAT TECHNOLOGICAL UNIVERSITY
Diploma Engineering - SEMESTER–III • EXAMINATION – WINTER • 2014
Subject Code: 3331904 Date: 03-12-2014
Subject Name: Strength of Materials
Time: 10:30 am - 01:00 pm Total Marks: 70

Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
4. English version is considered to be Authentic.

************

Q.1 Answer any seven out of ten. 14

1. Differentiate between shear stress and bending stress.

2. Define linear strain and lateral strain.

3. Define Modulus of Elasticity and Bulk Modulus.

4. Define radius of gyration and slenderness ratio.

5. Write the Euler’s equation defining the notations.

6. What do you understand by Malleability and Ductility?

7. Define shear force and bending moment.

8. Mention four tests conducted to determine the hardness and impact strength of
materials

9. Write the units of (i) Bending Moment (ii) Shear Stress (iii) Modulus of
Rigidity ( iv) Angle of Twist

10. Define Principal Plane and Principal Stress.

Q.2 (a) A steel bar 20 mm in diameter and 3.5 m long is subjected to an axial tensile
load of 50 KN. The increase in length is 1.75 mm. Calculate the stress and
strain and Young’s Modulus. 03

OR

(a) A brass bar 20 mm diameter and 8 m length is rigidly fixed. Calculate the
temperature stress induced when it is heated from 20° C to 50° C. E = 2 x 105
N/mm2 and α = 10 x 10 -6
/ 0C 03

(b) A rectangular beam having 150 mm x 120 mm cross section carries UDL of
8 KN/m. Find out the span of the simply supported beam if allowable bending
stress is 120 N/mm2. 03

OR

(b) A UDL of 20 KN/m is acting on a cantilever beam of length 3 m. Calculate the
slope and deflection of the beam at the free end. E = 2 x 105 N/mm2 and
I = 2 x 106 mm4 03

(c) A beam is loaded as shown in the Figure 1. Calculate the shear force and
bending moment at various points and draw the shear force and bending
moment diagram. 04

OR

(c) A beam is loaded as shown in the Figure 2. Calculate the shear force and
bending moment at various points and draw the shear force and bending
moment diagram. 04

(d) Draw the shear stress distribution diagram for (i) Rectangular section (ii) T
Section (iii) I section (iv) Circular section. 04

OR

(d) State and explain the parallel axes theorem and perpendicular axes theorem. 04

Q.3 (a) Write down the assumptions made in the simple bending theory. 03

OR

(a) A cantilever beam is of 2 m span having its cross section 200 mm x 300 mm. If maximum bending stress is not to exceed 10 N/mm2, find the value of point load that can be placed at its free end. 03

(b) Define slope and deflection of beam. 03

OR

(b) A rectangular column of Mild Steel of size 200 mm x 300 mm is fixed at both ends. The length of the column is 4 m. Calculate Euler’s load.
Take E = 2 x 105 N/mm2 03

(c) Calculate the M.I. of L section of size 90 mm x 90 mm x 8 mm. 04

OR

(c) Define Section Modulus, Polar Moment of Inertia, Neutral axis and Point of contraflexure. 04

(d) Draw the core of rectangular, hollow rectangular, circular and hollow circular sections. 04

OR

(d) A square column of 300 mm side is carrying a vertical load of 60 KN at eccentricity of 100 mm on x-x axis. Determine the minimum and maximum stress intensities in the section. Also, draw the stress distribution diagram. 04

Q.4 (a) Determine the diameter of shaft which will transmit 100 KW at 150 RPM. The maximum shear stress is limited to 50 N /mm2. 03

OR

(a) Find the power a solid shaft of 40 mm diameter can transmit at 150 RPM, if the maximum shear stress is not to exceed 60 N/mm2 03

(b) A rectangular column 200 mm x 400 mm in size carrying 10 KN load on axis bisecting the thickness with eccentricity of 50 mm. Calculate maximum and minimum stresses in the material. 04

OR

(b) Draw the different end conditions of column with effective length. 04

(c) Define strain energy and modulus of resilience. An axial pull of 50 KN is suddenly applied to a steel bar 2 m long and 1000 mm2 in cross sectional area. If modulus of elasticity of steel is 200 KN/mm2, find the strain energy stored in the bar. Also find the modulus of resilience. 07

Q.5 (a) At a point in a strained material two mutually perpendicular principal tensile stresses of 80 N /mm2 and 40 N/mm2 are acting. Find the normal, tangential and resultant stresses on a plane making 20° with the major principal plane. 04

(b) Write a note on different types of loads, supports and beams with neat sketches 04

(c) Write a short note on the applications of Aluminum and its alloys. 03

(d) What is the limitation of Euler’s formula for calculating safe load in columns and struts? Name any other formula for calculation of safe load in columns. 03

************

Summer 2014 Strength of Materials Question Paper

***********

GUJARAT TECHNOLOGICAL UNIVERSITY
Diploma Engineering - SEMESTER–III • EXAMINATION – SUMMER • 2014
Subject Code: 3331904 Date: 21-06-2014
Subject Name: Strength of Materials
Time: 10:30 am - 01:00 pm Total Marks: 70

Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
4. English version is considered to be Authentic.

***********

Q.1 (a) Define : Stress, Strain, Modulus of Elasticity, Poisson’s Ratio,
Lateral strain, Shear force, Point of contra flexure. 07

(b) A mild steel bar 1.5 m long and 20mm in diameter is subjected to an axial
tensile force of 100 kN. Find stress, strain, change in length and final length.
Take E = 2 x 105 N/mm2. 07

Q.2 (a) 1. Define : Section Modulus, Moment of resistance, Neutral axis 03
2. Explain slope and deflection of beam with sketches. 04

(b) A circular R. C. C. column of 230 mm diameter is reinforced with 6 steel bars
of 20 mm diameter. The column is carrying a load of 1000 kN. Find the
stresses in concrete and steel bar. Take Modular ratio = Es/Ec = 15. 07

OR

(b) Draw shear force and bending moment diagram for the beam shown in Fig.1
Also locate point of contra flexure, if any. 07

Q.3 (a) Find Moment of Inertia about XX and YY axis of section as shown in Fig. 2. 07

(b) Draw shear force and bending moment diagram for the beam shown in Fig.3 07

OR

Q.3 (a) A pipe has external diameter 120 mm and thichness 15 mm. It is used as
cantilever beam of 2 m span. It carried a UDL of 6 kN/m on entire length and
4 kN point load at its free end. Find maximum bending stress. Also draw
stress distribution diagram. 07

(b) A simply supported beam 4 m span and having cross section of 150 mm width
and 300 mm depth, is subjected to a central point load of 40 kN along with
UDL of 20 kN/m over entire span. Calculate maximum slope and deflection
of beam. Take E = 2 x 105 N/mm2. 07

Q.4 (a) A column, 6 m long with both ends fixed, has circular cross section of
100 mm internal diameter and 10 mm thickness. Find Euler’s buckling load.
Take E = 2 x 105 N/mm2. 07

(b) The maximum shear stress induced in a50 mm diameter shaft, rotating at 150
RPM, is 80 N/mm2. Find power required. 07

OR

Q. 4 (a) Define : Eccentricity , Core of section , Torque , Principal plane,
Strain Energy , Impact Load , Temperature Stress. 07

(b) A column having rectangular cross section of 200 mm width and 150 mm
depth, is subjected to a load of 100 kN at an eccentricity of 50 mm on the axis
bisecting the depth. Find maximum and minimum stresses induced in the
section. Also draw stress distribution diagram. 07

Q.5 (a) 1. State difference between Riveted and Welded joints.03
2. Explain stress- strain curve for mild steel bar under axial tension. 04

(b) At a point in a strained material two direct stresses on perpendicular planes
are 300 N/mm2 (tensile) and 250 N/mm2 (compressive). It is also subjected to shear stress of 100 N/mm2. Using analytical method, find principal stresses, locate principal planes and maximum shear stress  03

OR

Q.5 (a) 1. Explain failure of riveted joint.
2. Explain various types of welded joints. 04

(b) Solve Example of Q. 5(b), using Mohr’s circle method. 07

************

Winter 2013 Strength of Materials Question Paper

************

GUJARAT TECHNOLOGICAL UNIVERSITY
Diploma Engineering - SEMESTER–III • EXAMINATION – WINTER 2013
Subject Code: 3331904 Date: 04-12-2013
Subject Name: Strength of Materials
Time: 02:30 pm - 05:00 pm Total Marks: 70

Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
4. English version is considered to be Authentic.

************

Q.1 (a) Define the following: 1. Bulk Modulus 2. Compressive Stress 3. Elastic Limit
4.Modulus of Resilience 5. Shear Stress 6. Temperature Stress 7. Strain 07

(b) A copper wire of length 500mm is subjected to an axial pull of 5 KN. Find the
minimum diameter of the wire if the stress in the wire is not to exceed 70
N/mm2. Also find the elongation of the wire. Take E = 100 KN/mm2. 07

Q.2 (a) A hollow circular column has external and internal diameter 300 mm and
250mm. A load of 10 KN is acting on its outer edge. Find maximum and
minimum stresses in the section. 07

(b) Find the Moment of Inertia of I section having Top & Bottom flange 100mm
x 15mm and web 250mm x 10mm. 07

OR

(b) Explain Parallel Axes Theorem and Perpendicular Axes Theorem 07

Q.3 (a) A simply supported beam is 6 m long. It is loaded with uniformly distributed
load of 30 KN/m over 2 m length from left support A. It is also loaded with
uniformly distributed load of 20 KN/m over 2 m length from right support B.
It has a point load of 40KN at centre. Draw shear force and bending moment
diagram for the beam. 07

(b) Define shear force, bending moment, point of contra flexure. A column is 4 m
long, fixed at one end and hinged at the other end. Ixx = 5131.6 cm4 and Iyy =
334.5 cm4, E= 2 x 105 N/mm2. Calculate the Euler’s crippling load and safe
load if factor of safety is 3.5. 07

OR

Q.3 (a) A simply supported beam of span 5m is subjected to an UDL of 30 KN/m for
a length of 3 m from its right support. Point load os 40 KN and 50 KN are
acting at 1.5 m and 4 m distance from the right support respectively. Draw
the S.F. and B.M. diagram. 07

(b) Define section modulus, radius of gyration. Write the bending theory
equation. A cantilever beam of 1.75 m span is subjected to an UDL of 75
KN/m over the entire span and a point load of 50 KN at free end. Find the
slope and deflection at the free end. Take EI = 12 x 1013 N.mm2. 07

Q.4 (a) A rectangular beam of 8 m span is simply supported at its ends. Cross section
of the beam is 200 mm wide and 400 mm deep. It is loaded by central point
load of 200 KN and a UDL of 10 KN/m on entire span. Find the maximum
bending stress developed at mid span. Draw stress diagram. 07

(b) Define slope and deflection of a beam. A steel tube of external diameter 60
mm and 8 mm thickness is used as simply supported beam of span 4m. If it
deflects 10 mm due to a central point load, find the magnitude of the point
load. Take E = 200 GPa. 07

OR

Q. 4 (a) A cast iron pipe of external diameter 50 mm and 8 mm thick is 6 m long and
simply supported at ends. It carries a point load of 120 N at its centre.
Calculate the maximum bending stress induced. 07

(b) A load of 100 KN is acting on a column 300 mm x 200 mm size at
eccentricity ‘e’ on axis bisecting 200 mm side. If maximum safe stress is 3.67
N/mm2, find the value of ‘e’. 07

Q.5 (a) A point in a strained material is subjected a normal stresses of 400 MPa
(tensile) and 100 MPa (compressive) along with a shear stress of 150 MPa.
Find the normal, tangential and resultant stress on a plane inclined at 35ο to
the plane carrying tensile stress. 07

(b) A solid shaft 100 mm in diameter rotates at 200 r.p.m. It transmits 150 KW
power. Find the shear stress in shaft. 07

OR

Q.5 (a) Define Principal plane and Principal stress. Write the strength and rigidity
equation for shaft. What do you mean by polar moment of inertia and angle of
twist? 07

(b) Define the following: Hardness, ductility, malleability. Name suitable
materials for crane hook, fly wheel, angles used in structures and wires used
in coils for electrical winding. 07

************

Strength of Materials previous year question paper | 3331904 |

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