Code No: R05210303
R05
Set No. 2
in
II B.Tech I Semester Examinations,MAY 2011 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 ?????
ld .
1. A rigid bar is supported by three rods, the outer one of steel and the central one of copper. The cross sectional area of each steel rod is 300 mm2 and of the copper rod is 1000 mm2 . The three rods are equally spaced and the loads of 50 kN are each applied midway between the rods. Determine the forces in each of the vertical bars if the rigid bar remains horizontal after the loads have been applied. Neglect the weight of the rigid bar. Take Es = 205 kN/mm2 and Ec = 110 kN/mm2 . [16]
or
2. (a) From first principles prove that the shear stress is not maximum at the neutral axis in case of an isosceles triangular section. [8]
uW
(b) A beam of I- section has the following dimensions top and bottom flanges = 170mm × 20mm web = 25mm× 210mm The beam is subjected to a shear force of 19kN. Calculate shear stress at salient points. Sketch the shear stress variation. [8] [16]
Aj
nt
3. Determine the forces in all the members of the pin jointed frame shown in figure 1.
Figure 1
4. (a) List the assumptions involved in the theory of simple bending.
[6]
(b) A cast iron beam is of I-section as in Figure 2. The beam is simply supported over a span of 6.3m. If the tensile stress is not to exceed 17MPa, find the safe u.d.l. which the beam can carry. Also find maximum compressive stress. Draw the sketch showing the flexural stresses across the section. [10]
1
R05
Set No. 2
ld .
Figure 2
in
Code No: R05210303
5. (a) Derive an expression for slope and deflection at the free end of a Cantilever beam AB of span l and stiffness EI when it is subjected to a triangular Load zero at the free end to w per unit length at the fixed end. [8]
or
(b) A uniform section beam of length L is simply supported at its ends and carries a single concentrated load W at a distance of L/3 from one end. Working from fundamental beam theory, derive formula for the deflection [8]
uW
i. under the load ii. at the centre iii. at the point of maximum deflection.
6. Derive the formula for the thickness of the thin cylindrical shell and solve the following problem. A thin cylindrical shell of 1 m diameter is subjected to an internal pressure of 1 N/mm2 . Calculate the suitable thickness of the shell, if the tensile strength of the plate is 400 N/mm2 and factor of safety is 4. [16]
nt
7. A C.I pipe of 200mm internal dia. And thickness of metal 50mm carries water under a pressure of 7N/mm2 . Find the max. and minimum intensities of hoop stress, sketch the Variation of hoop stress and radial pressure across the section. [16]
Aj
8. Draw the shear force and bending moment diagrams for the beam loaded as shown in the Figure 3. [16]
Figure 3 ?????
2
Code No: R05210303
R05
Set No. 4
in
II B.Tech I Semester Examinations,MAY 2011 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) List the assumptions involved in the theory of simple bending.
[6]
uW
or
ld .
(b) A cast iron beam is of I-section as in Figure 1. The beam is simply supported over a span of 6.3m. If the tensile stress is not to exceed 17MPa, find the safe u.d.l. which the beam can carry. Also find maximum compressive stress. Draw the sketch showing the flexural stresses across the section. [10]
Figure 1
2. Derive the formula for the thickness of the thin cylindrical shell and solve the following problem. A thin cylindrical shell of 1 m diameter is subjected to an internal pressure of 1 N/mm2 . Calculate the suitable thickness of the shell, if the tensile strength of the plate is 400 N/mm2 and factor of safety is 4. [16]
Aj
nt
3. A rigid bar is supported by three rods, the outer one of steel and the central one of copper. The cross sectional area of each steel rod is 300 mm2 and of the copper rod is 1000 mm2 . The three rods are equally spaced and the loads of 50 kN are each applied midway between the rods. Determine the forces in each of the vertical bars if the rigid bar remains horizontal after the loads have been applied. Neglect the weight of the rigid bar. Take Es = 205 kN/mm2 and Ec = 110 kN/mm2 . [16] 4. (a) From first principles prove that the shear stress is not maximum at the neutral axis in case of an isosceles triangular section. [8] (b) A beam of I- section has the following dimensions top and bottom flanges = 170mm × 20mm web = 25mm× 210mm The beam is subjected to a shear force of 19kN. Calculate shear stress at salient points. Sketch the shear stress variation. [8]
3
Code No: R05210303
R05
Set No. 4
5. A C.I pipe of 200mm internal dia. And thickness of metal 50mm carries water under a pressure of 7N/mm2 . Find the max. and minimum intensities of hoop stress, sketch the Variation of hoop stress and radial pressure across the section. [16] [16]
or
ld .
in
6. Determine the forces in all the members of the pin jointed frame shown in figure 2.
Figure 2
uW
7. Draw the shear force and bending moment diagrams for the beam loaded as shown in the Figure 3. [16]
Figure 3
nt
8. (a) Derive an expression for slope and deflection at the free end of a Cantilever beam AB of span l and stiffness EI when it is subjected to a triangular Load zero at the free end to w per unit length at the fixed end. [8]
Aj
(b) A uniform section beam of length L is simply supported at its ends and carries a single concentrated load W at a distance of L/3 from one end. Working from fundamental beam theory, derive formula for the deflection [8] i. under the load ii. at the centre iii. at the point of maximum deflection. ?????
4
Code No: R05210303
R05
Set No. 1
in
II B.Tech I Semester Examinations,MAY 2011 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) From first principles prove that the shear stress is not maximum at the neutral axis in case of an isosceles triangular section. [8]
ld .
(b) A beam of I- section has the following dimensions top and bottom flanges = 170mm × 20mm web = 25mm× 210mm The beam is subjected to a shear force of 19kN. Calculate shear stress at salient points. Sketch the shear stress variation. [8] 2. (a) List the assumptions involved in the theory of simple bending.
[6]
nt
uW
or
(b) A cast iron beam is of I-section as in Figure 1. The beam is simply supported over a span of 6.3m. If the tensile stress is not to exceed 17MPa, find the safe u.d.l. which the beam can carry. Also find maximum compressive stress. Draw the sketch showing the flexural stresses across the section. [10]
Figure 1
Aj
3. Draw the shear force and bending moment diagrams for the beam loaded as shown in the Figure 2. [16]
Figure 2 4. Derive the formula for the thickness of the thin cylindrical shell and solve the following problem. A thin cylindrical shell of 1 m diameter is subjected to an 5
Code No: R05210303
R05
Set No. 1
internal pressure of 1 N/mm2 . Calculate the suitable thickness of the shell, if the tensile strength of the plate is 400 N/mm2 and factor of safety is 4. [16]
in
5. A rigid bar is supported by three rods, the outer one of steel and the central one of copper. The cross sectional area of each steel rod is 300 mm2 and of the copper rod is 1000 mm2 . The three rods are equally spaced and the loads of 50 kN are each applied midway between the rods. Determine the forces in each of the vertical bars if the rigid bar remains horizontal after the loads have been applied. Neglect the weight of the rigid bar. Take Es = 205 kN/mm2 and Ec = 110 kN/mm2 . [16]
ld .
6. A C.I pipe of 200mm internal dia. And thickness of metal 50mm carries water under a pressure of 7N/mm2 . Find the max. and minimum intensities of hoop stress, sketch the Variation of hoop stress and radial pressure across the section. [16] [16]
uW
or
7. Determine the forces in all the members of the pin jointed frame shown in figure 3.
Figure 3
nt
8. (a) Derive an expression for slope and deflection at the free end of a Cantilever beam AB of span l and stiffness EI when it is subjected to a triangular Load zero at the free end to w per unit length at the fixed end. [8] (b) A uniform section beam of length L is simply supported at its ends and carries a single concentrated load W at a distance of L/3 from one end. Working from fundamental beam theory, derive formula for the deflection [8]
Aj
i. under the load ii. at the centre iii. at the point of maximum deflection. ?????
6
Code No: R05210303
R05
Set No. 3
in
II B.Tech I Semester Examinations,MAY 2011 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) List the assumptions involved in the theory of simple bending.
[6]
uW
or
ld .
(b) A cast iron beam is of I-section as in Figure 1. The beam is simply supported over a span of 6.3m. If the tensile stress is not to exceed 17MPa, find the safe u.d.l. which the beam can carry. Also find maximum compressive stress. Draw the sketch showing the flexural stresses across the section. [10]
Figure 1
nt
2. A rigid bar is supported by three rods, the outer one of steel and the central one of copper. The cross sectional area of each steel rod is 300 mm2 and of the copper rod is 1000 mm2 . The three rods are equally spaced and the loads of 50 kN are each applied midway between the rods. Determine the forces in each of the vertical bars if the rigid bar remains horizontal after the loads have been applied. Neglect the weight of the rigid bar. Take Es = 205 kN/mm2 and Ec = 110 kN/mm2 . [16] 3. (a) From first principles prove that the shear stress is not maximum at the neutral axis in case of an isosceles triangular section. [8]
Aj
(b) A beam of I- section has the following dimensions top and bottom flanges = 170mm × 20mm web = 25mm× 210mm The beam is subjected to a shear force of 19kN. Calculate shear stress at salient points. Sketch the shear stress variation. [8]
4. Draw the shear force and bending moment diagrams for the beam loaded as shown in the Figure 2. [16]
7
Code No: R05210303
R05
Set No. 3
in
Figure 2
ld .
5. A C.I pipe of 200mm internal dia. And thickness of metal 50mm carries water under a pressure of 7N/mm2 . Find the max. and minimum intensities of hoop stress, sketch the Variation of hoop stress and radial pressure across the section. [16]
6. Derive the formula for the thickness of the thin cylindrical shell and solve the following problem. A thin cylindrical shell of 1 m diameter is subjected to an internal pressure of 1 N/mm2 . Calculate the suitable thickness of the shell, if the tensile strength of the plate is 400 N/mm2 and factor of safety is 4. [16] [16]
nt
uW
or
7. Determine the forces in all the members of the pin jointed frame shown in figure 3.
Figure 3
8. (a) Derive an expression for slope and deflection at the free end of a Cantilever beam AB of span l and stiffness EI when it is subjected to a triangular Load zero at the free end to w per unit length at the fixed end. [8]
Aj
(b) A uniform section beam of length L is simply supported at its ends and carries a single concentrated load W at a distance of L/3 from one end. Working from fundamental beam theory, derive formula for the deflection [8] i. under the load ii. at the centre iii. at the point of maximum deflection. ?????
8
