Anna University Previous Years Question Papers
Question paper code: 77058
B.E,B.TECH DEGREE EXAMINATION,APRIL/MAY-2015
Third semester
Mechanical Engineering
CE 6306-STRENGTH OF MATERIALS
(common to Mechatronics Engineering ,Industrial Engineering and management , Industrial Engineering, manufacturing Engineering , Mechanical Engineering (sandwich) material science and Engineering and also common to fourth semester Automobile Engineering, Mechanical and Automation Engineering and Production Engineering)
(Regulation 2013)
Time- Three hour
Maximum mark-100
Answer all questions
PART A-10X2=20
1. What do you mean by thermal stresses?
2. Draw the mohr’s circle for the state of pure shear in a stained body and mark all salient points it?
3. Define:
(i)Sharing force
(ii)Bending moment
4. What is neutral axis of a beam section? How do you locate it when a beam is under simple bending?
5. What is meant by torsional stiffness?
6. What are the use of helical springs?
7. What are the advantages of Macaulay’s method for the calculation of slope and deflection?
8. In a cantilever beam, the measured deflection at free end was 8mm when a concentration load of 12 KN was applied at its mid-span. What will be the deflection at mid-span when the same beam carrier a concentrated load of 7 KN at the free end?
9. Distinguish between thin and thick shells.
10. State the assumption made in Lame’e theorem for thick cylinder analysis.
PART B-5X16=80 MARKS
11.(a) A steel rod of diameter at 32mm and length 500mm is placed inside an aluminium tube of internal diameter 35mm and external diameter 45mm which is 1mm longer than the steel rod. A load of 300 KN is placed on the assembly through the rigid collar. Find the stress induoed in steel rod and aluminium tube. Take the modulus of elasticity of steel as 200 GPa and that of aluminium as 80GPa.s
(or)
(b)At a point in a stained material the resultant intensity of stresses across a vertical plane is 100MP a tensile inclined at350 clockwise to its normal. The normal component of intensity of stress across the horizontal plane is 50MPa compressive. Determine graphically using Mohr’s circle method:
(i)The position of principal planes and stress across them and
(ii) The normal and tangential stress across a plane which is 600 clockwise to the vertical plane.
12.(a)An overhanging beam ABC of length 7m is simply supported at A and B over a span of 5m and the portion BC overhangs by 2m. Draw the shearing force and bending moment diagram and determine the point of contra flexure if it is subjected to uniformly distributed loads of 3KN/m over the portion AB and a concentrated load of 8KN at C.
(OR)
(b)Three beam have a same length, the same allowable stress and the same bending moment. The cross section of the beam are a square, a rectangle depth twice the width and a circular. Find the radios of weight of the circular and the rectangular beams with respect to square beam.
13(a)A brass tube of external diameter 80mm and internal diameter 50mm is closely fitted to a steel rod of 50mm diameter to from a composite shaft. If a torque of 10KNm is to be resisted by this shaft find the maximum stresses developed in each material and the angel of twist in 2m length. Take modualus of rigidity of brass and steel as40x103 N/mm2 and 80x 103 N/mm2 respectively.
(or)
(b)A close-coiled helical spring is to have a stiffness of 900N/m in compression, with a maximum load of 45N and a maximum shearing stress of 120N/mm2. The solid length of the spring (i. e . ,coils touching) is 45mm. Find:
(i)The wire diameter
(ii) The mean coil radius
(iii)The number of coils. Take modulus of rigidity of the material of the spring as 0.4x105 N/mm2.
14.(a) A horizontal beam of uniform section and 7m long is simply supported at its end. The beam is subjected to a uniformly distributed load of 6KN/m over a length of 3m from the leaf end and a concentrated load 12KN at 5m from the left end. Find the maximum deflection in the beam using Macaulay’s method.
(or)
(b) A cantilever of span 4m carries a uniformly distributed load of 4KN/m over a length of 2m from the fixed end and a concentrated load of 10KN at the free end. Determine the slope and deflection of the cantilever at the free end using conjugate beam method. Assume El is uniform throughout.
15.(a)A thin cylindrical shell 2.5m long has 700mm internal diameter and 8mm thickness if the shell is subjected to an internal pressure of 1MPa find
(i)The hool and longitudinal stresses developed
(ii)Maximum shear stress induces and
(iii) The changes in diameter length and volume. Take modulus of elasticity of the wall material as 200GPs and Poisson’s radio as 0.3.
(or)
(b)A thick cylinder with external diameter 320mm and internal diameter 160mm is subjected to an internal pressure of 8 N/mm2. Draw the variation of radial and hoop stresses in the cylinder wall. Also determine the maximum shear stress in the cylinder wall.
Question paper code: 77058
B.E,B.TECH DEGREE EXAMINATION,APRIL/MAY-2015
Third semester
Mechanical Engineering
CE 6306-STRENGTH OF MATERIALS
(common to Mechatronics Engineering ,Industrial Engineering and management , Industrial Engineering, manufacturing Engineering , Mechanical Engineering (sandwich) material science and Engineering and also common to fourth semester Automobile Engineering, Mechanical and Automation Engineering and Production Engineering)
(Regulation 2013)
Time- Three hour
Maximum mark-100
Answer all questions
PART A-10X2=20
1. What do you mean by thermal stresses?
2. Draw the mohr’s circle for the state of pure shear in a stained body and mark all salient points it?
3. Define:
(i)Sharing force
(ii)Bending moment
4. What is neutral axis of a beam section? How do you locate it when a beam is under simple bending?
5. What is meant by torsional stiffness?
6. What are the use of helical springs?
7. What are the advantages of Macaulay’s method for the calculation of slope and deflection?
8. In a cantilever beam, the measured deflection at free end was 8mm when a concentration load of 12 KN was applied at its mid-span. What will be the deflection at mid-span when the same beam carrier a concentrated load of 7 KN at the free end?
9. Distinguish between thin and thick shells.
10. State the assumption made in Lame’e theorem for thick cylinder analysis.
PART B-5X16=80 MARKS
11.(a) A steel rod of diameter at 32mm and length 500mm is placed inside an aluminium tube of internal diameter 35mm and external diameter 45mm which is 1mm longer than the steel rod. A load of 300 KN is placed on the assembly through the rigid collar. Find the stress induoed in steel rod and aluminium tube. Take the modulus of elasticity of steel as 200 GPa and that of aluminium as 80GPa.s
(or)
(b)At a point in a stained material the resultant intensity of stresses across a vertical plane is 100MP a tensile inclined at350 clockwise to its normal. The normal component of intensity of stress across the horizontal plane is 50MPa compressive. Determine graphically using Mohr’s circle method:
(i)The position of principal planes and stress across them and
(ii) The normal and tangential stress across a plane which is 600 clockwise to the vertical plane.
12.(a)An overhanging beam ABC of length 7m is simply supported at A and B over a span of 5m and the portion BC overhangs by 2m. Draw the shearing force and bending moment diagram and determine the point of contra flexure if it is subjected to uniformly distributed loads of 3KN/m over the portion AB and a concentrated load of 8KN at C.
(OR)
(b)Three beam have a same length, the same allowable stress and the same bending moment. The cross section of the beam are a square, a rectangle depth twice the width and a circular. Find the radios of weight of the circular and the rectangular beams with respect to square beam.
13(a)A brass tube of external diameter 80mm and internal diameter 50mm is closely fitted to a steel rod of 50mm diameter to from a composite shaft. If a torque of 10KNm is to be resisted by this shaft find the maximum stresses developed in each material and the angel of twist in 2m length. Take modualus of rigidity of brass and steel as40x103 N/mm2 and 80x 103 N/mm2 respectively.
(or)
(b)A close-coiled helical spring is to have a stiffness of 900N/m in compression, with a maximum load of 45N and a maximum shearing stress of 120N/mm2. The solid length of the spring (i. e . ,coils touching) is 45mm. Find:
(i)The wire diameter
(ii) The mean coil radius
(iii)The number of coils. Take modulus of rigidity of the material of the spring as 0.4x105 N/mm2.
14.(a) A horizontal beam of uniform section and 7m long is simply supported at its end. The beam is subjected to a uniformly distributed load of 6KN/m over a length of 3m from the leaf end and a concentrated load 12KN at 5m from the left end. Find the maximum deflection in the beam using Macaulay’s method.
(or)
(b) A cantilever of span 4m carries a uniformly distributed load of 4KN/m over a length of 2m from the fixed end and a concentrated load of 10KN at the free end. Determine the slope and deflection of the cantilever at the free end using conjugate beam method. Assume El is uniform throughout.
15.(a)A thin cylindrical shell 2.5m long has 700mm internal diameter and 8mm thickness if the shell is subjected to an internal pressure of 1MPa find
(i)The hool and longitudinal stresses developed
(ii)Maximum shear stress induces and
(iii) The changes in diameter length and volume. Take modulus of elasticity of the wall material as 200GPs and Poisson’s radio as 0.3.
(or)
(b)A thick cylinder with external diameter 320mm and internal diameter 160mm is subjected to an internal pressure of 8 N/mm2. Draw the variation of radial and hoop stresses in the cylinder wall. Also determine the maximum shear stress in the cylinder wall.
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