Code No: R05210303
R05
Set No. 2
in
II B.Tech I Semester Supplementary Examinations,June 2010 MECHANICS OF SOLIDS Common to ME, MECT, MEP, AE, AME, MMT Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ?????
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1. For a section shown in figure3. determine the average shearing stresses at A,B, C and D for a shearing force of 23kN. Also sketch the shear stress distribution across the section. [16]
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Figure 3
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2. A compound bar consists of a circular rod of steel of diameter 20 mm rigidly fitted into a copper tube of internal diameter 20 mm and thickness 5 mm. If the bar is subjected to a load of 200 kN, find the stresses developed in the two materials. Take Es = 2×105 N/mm2 , Ec = 1.2×105 N/mm2 . [16] 3. (a) What is elastic section modulus?
[4]
(b) A beam resting freely on supports 5.8m apart carries a u.d.l of 12 kN/m and also a point load of 15 kN at 2m from the left support. If the permissible stress in timber is 5 MPa, design a suitable section by making the depth equal to 1.8 times the width. [12]
4. (a) Device the relations among loading, shear force and bending moment in a beam. [9]
1
Code No: R05210303
R05
Set No. 2
(b) A cantilever beam AB span 6m is subjected to a uniformly varying load of 8 kN/m intensity at the fixed end A and zero at the free end B. draw SFD and BMD. [7] 5. (a) Explain the application of moment area method and Macaulay’s method for slope and deflection for cantilever beams. [6]
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(b) A uniform beam of length 4L is simply and symmetrically supported over a span of 2L. It carries a load W1 at each end. and a total uniformly distributed load of W2 on the span between the supports. Find the ratio of W1 to W2 if the deflection at the mid span is equal to that at each end. [10]
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6. (a) Derive the relation for the change of diameter and length of a thin cylindrical shell subjected to an internal pressure. [10] (b) A thin cylinder steel shell of diameter 200 mm and wall thickness 4 mm has spherical ends. Determine the thickness of hemispherical ends if there is no distortion of the junction under pressure. [6]
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7. Find all the forces in the members of the truss as shown in the Figure 5 by method of sections. [16]
Figure 5
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8. Compare the values of max. and minimum hoop stresses for a cast steel cylindrical shell of 600 mm external dia. And 400 mm internal dia. Subjected to a pressure of 30N/mm2 applied (a) Internally and
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(b) Externally.
[8+8]
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2
Code No: R05210303
R05
Set No. 4
in
II B.Tech I Semester Supplementary Examinations,June 2010 MECHANICS OF SOLIDS Common to ME, MECT, MEP, AE, AME, MMT Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ?????
or
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1. Find all the forces in the members of the truss as shown in the Figure 5 by method of sections. [16]
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Figure 5
2. (a) Device the relations among loading, shear force and bending moment in a beam. [9] (b) A cantilever beam AB span 6m is subjected to a uniformly varying load of 8 kN/m intensity at the fixed end A and zero at the free end B. draw SFD and BMD. [7]
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3. For a section shown in figure3. determine the average shearing stresses at A,B, C and D for a shearing force of 23kN. Also sketch the shear stress distribution across the section. [16]
3
R05
Set No. 4
or
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in
Code No: R05210303
Figure 3
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4. Compare the values of max. and minimum hoop stresses for a cast steel cylindrical shell of 600 mm external dia. And 400 mm internal dia. Subjected to a pressure of 30N/mm2 applied (a) Internally and (b) Externally.
[8+8]
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5. A compound bar consists of a circular rod of steel of diameter 20 mm rigidly fitted into a copper tube of internal diameter 20 mm and thickness 5 mm. If the bar is subjected to a load of 200 kN, find the stresses developed in the two materials. Take Es = 2×105 N/mm2 , Ec = 1.2×105 N/mm2 . [16] 6. (a) Explain the application of moment area method and Macaulay’s method for slope and deflection for cantilever beams. [6]
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(b) A uniform beam of length 4L is simply and symmetrically supported over a span of 2L. It carries a load W1 at each end. and a total uniformly distributed load of W2 on the span between the supports. Find the ratio of W1 to W2 if the deflection at the mid span in equal to that at each end. [10]
7. (a) Derive the relation for the change of diameter and length of a thin cylindrical shell subjected to an internal pressure. [10] (b) A thin cylinder steel shell of diameter 200 mm and wall thickness 4 mm has spherical ends. Determine the thickness of hemispherical ends if there is no distortion of the junction under pressure. [6] 8. (a) What is elastic section modulus? 4
[4]
Code No: R05210303
R05
Set No. 4
(b) A beam resting freely on supports 5.8m apart carries a u.d.l of 12 kN/m and also a point load of 15 kN at 2m from the left support. If the permissible stress in timber is 5 MPa, design a suitable section by making the depth equal to 1.8 times the width. [12]
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or
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in
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5
Code No: R05210303
R05
Set No. 1
in
II B.Tech I Semester Supplementary Examinations,June 2010 MECHANICS OF SOLIDS Common to ME, MECT, MEP, AE, AME, MMT Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. (a) Explain the application of moment area method and Macaulay’s method for slope and deflection for cantilever beams. [6]
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(b) A uniform beam of length 4L is simply and symmetrically supported over a span of 2L. It carries a load W1 at each end. and a total uniformly distributed load of W2 on the span between the supports. Find the ratio of W1 to W2 if the deflection at the mid span in equal to that at each end. [10]
(a) Internally and (b) Externally.
or
2. Compare the values of max. and minimum hoop stresses for a cast steel cylindrical shell of 600 mm external dia. And 400 mm internal dia. Subjected to a pressure of 30N/mm2 applied
[8+8]
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3. For a section shown in figure3. determine the average shearing stresses at A,B, C and D for a shearing force of 23kN. Also sketch the shear stress distribution across the section. [16]
Figure 3 6
Code No: R05210303
R05
Set No. 1
4.. (a) What is elastic section modulus?
[4]
(b) A beam resting freely on supports 5.8m apart carries a u.d.l of 12 kN/m and also a point load of 15 kN at 2m from the left support. If the permissible stress in timber is 5 MPa, design a suitable section by making the depth equal to 1.8 times the width. [12]
or
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5. Find all the forces in the members of the truss as shown in the Figure 5 by method of sections. [16]
Figure 5
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6. (a) Derive the relation for the change of diameter and length of a thin cylindrical shell subjected to an internal pressure. [10] (b) A thin cylinder steel shell of diameter 200 mm and wall thickness 4 mm has spherical ends. Determine the thickness of hemispherical ends if there is no distortion of the junction under pressure. [6] 7. A compound bar consists of a circular rod of steel of diameter 20 mm rigidly fitted into a copper tube of internal diameter 20 mm and thickness 5 mm. If the bar is subjected to a load of 200 kN, find the stresses developed in the two materials. Take Es = 2×105 N/mm2 , Ec = 1.2×105 N/mm2 . [16]
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8. (a) Device the relations among loading, shear force and bending moment in a beam. [9]
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(b) A cantilever beam AB span 6m is subjected to a uniformly varying load of 8 kN/m intensity at the fixed end A and zero at the free end B. draw SFD and BMD. [7]
?????
7
Code No: R05210303
R05
Set No. 3
in
II B.Tech I Semester Supplementary Examinations,June 2010 MECHANICS OF SOLIDS Common to ME, MECT, MEP, AE, AME, MMT Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks ????? 1. (a) Explain the application of moment area method and Macaulay’s method for slope and deflection for cantilever beams. [6]
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(b) A uniform beam of length 4L is simply and symmetrically supported over a span of 2L. It carries a load W1 at each end. and a total uniformly distributed load of W2 on the span between the supports. Find the ratio of W1 to W2 if the deflection at the mid span in equal to that at each end. [10]
or
2. (a) Derive the relation for the change of diameter and length of a thin cylindrical shell subjected to an internal pressure. [10] (b) A thin cylinder steel shell of diameter 200 mm and wall thickness 4 mm has spherical ends. Determine the thickness of hemispherical ends if there is no distortion of the junction under pressure. [6]
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nt
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3. For a section shown in figure3. determine the average shearing stresses at A,B, C and D for a shearing force of 23kN. Also sketch the shear stress distribution across the section. [16]
Figure 3
8
Code No: R05210303
R05
Set No. 3
4. A compound bar consists of a circular rod of steel of diameter 20 mm rigidly fitted into a copper tube of internal diameter 20 mm and thickness 5 mm. If the bar is subjected to a load of 200 kN, find the stresses developed in the two materials. Take Es = 2×105 N/mm2 , Ec = 1.2×105 N/mm2 . [16]
or
Figure 5
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in
5. Find all the forces in the members of the truss as shown in the Figure 5 by method of sections. [16]
6. (a) What is elastic section modulus?
[4]
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(b) A beam resting freely on supports 5.8m apart carries a u.d.l of 12 kN/m and also a point load of 15 kN at 2m from the left support. If the permissible stress in timber is 5 MPa, design a suitable section by making the depth equal to 1.8 times the width. [12] 7. (a) Device the relations among loading, shear force and bending moment in a beam. [9] (b) A cantilever beam AB span 6m is subjected to a uniformly varying load of 8 kN/m intensity at the fixed end A and zero at the free end B. draw SFD and BMD. [7]
nt
8. Compare the values of max. and minimum hoop stresses for a cast steel cylindrical shell of 600 mm external dia. And 400 mm internal dia. Subjected to a pressure of 30N/mm2 applied
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(a) Internally and
(b) Externally.
[8+8] ?????
9
