Code No: R05312104 R05 Set No. 2
III B.Tech I Semester Supplementary Examinations,June 2010
AEROSPACE VEHICLE STRUCTURES-I Aeronautical Engineering
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. The figure 6 shows a rolled steel beam of unsymmetrical I- section. If a similar I- section is welded on the top of it to form a symmetrical section, determine the ratio of the moment of resistance of the new section to that of single section. Assume the permissible bending stress in tension and compression to be the same. [16]
Figure 6
2. A beam AB of length 10 m is fixed at both ends and carries a U.D.L. of intensity
10 kN/m. calculate the fixing moments if the end B sinks by 1 cm. Take I = 14,500 cm4, E= 2.1 × 105 N/mm2 . [16]
3. A pin jointed strut carries an axial compressive load P together with a lateral concentrated load W at the mid span as shown in figure 4. Determine the deflection at the mid-span of the strut. [16]
Figure 4
4. For a cantilever of length L and loaded with a point load P at its free end as shown in figure 2, the deflection equation (with x=0 at the free end) is given as
1
Code No: R05312104 R05 Set No. 2
y = -(P/6EI)(2L3 - 3L2x+ x3 ). Use the Maxwell reciprocal theorm to determine the deflection of free end of the cantilever when a load W is applied at a distance
'a' from the free end. [16]
Figure 2
5. A metallic tube 5 m long, when subjected to axial tensile load of 50 kN experiences an extension of 5 mm. The tube is of 40 mm external and 25 mm internal dia. If the tube is now hinged at its ends and subjected to an axial compressive load, determine the maximum safe value for such a load. Take factor of safety as 3. [16]
6. Determine the natural frequency of the system shown in figure 8 .Given k1=k2 =
1500 N/m, k3 = 2000N/m, m = 5 kg. [16]
Figure 8
7. A cantilever beam AB 6 m long is subjected to u.d.l of w KN/m. spread
over the entire length. Assume rectangular cross-section with depth equal to twice the breadth. Determine the minimum dimension of the beam so that the vertical deflection at free end does not exceed 1.5 cm and minimum stress due to bending does not exceed 10K N/C m2. Take E = 2 × 107N/C m2 . [16]
8. A mass is suspended from a spring system as shown in figure 5 Determine the
natural frequency of the system. Take k1 = 5000N/m, k2 = k3 = 8000 N/m, m =
25 kg. [16]
Figure 5
Code No: R05312104 R05 Set No. 4
III B.Tech I Semester Supplementary Examinations,June 2010
AEROSPACE VEHICLE STRUCTURES-I Aeronautical Engineering
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. A metallic tube 5 m long, when subjected to axial tensile load of 50 kN experiences an extension of 5 mm. The tube is of 40 mm external and 25 mm internal dia. If the tube is now hinged at its ends and subjected to an axial compressive load, determine the maximum safe value for such a load. Take factor of safety as 3. [16]
2. The figure 6 shows a rolled steel beam of unsymmetrical I- section. If a similar I- section is welded on the top of it to form a symmetrical section, determine the ratio of the moment of resistance of the new section to that of single section. Assume the permissible bending stress in tension and compression to be the same. [16]
Figure 6
3. For a cantilever of length L and loaded with a point load P at its free end as shown in figure 2, the deflection equation (with x=0 at the free end) is given as
y = -(P/6EI)(2L3 - 3L2x+ x3 ). Use the Maxwell reciprocal theorm to determine
the deflection of free end of the cantilever when a load W is applied at a distance
'a' from the free end. [16]
4
Code No: R05312104 R05 Set No. 4
Figure 2
4. A cantilever beam AB 6 m long is subjected to u.d.l of w KN/m. spread
over the entire length. Assume rectangular cross-section with depth equal to twice the breadth. Determine the minimum dimension of the beam so that the vertical deflection at free end does not exceed 1.5 cm and minimum stress due to bending does not exceed 10K N/C m2. Take E = 2 × 107N/C m2 . [16]
5. Determine the natural frequency of the system shown in figure 8 .Given k1=k2 =
1500 N/m, k3 = 2000N/m, m = 5 kg. [16]
Figure 8
6. A pin jointed strut carries an axial compressive load P together with a lateral concentrated load W at the mid span as shown in figure 4. Determine the deflection at the mid-span of the strut. [16]
Figure 4
7. A mass is suspended from a spring system as shown in figure 5 Determine the natural frequency of the system. Take k1 = 5000N/m, k2 = k3 = 8000 N/m, m =
25 kg. [16]
5
Code No: R05312104 R05 Set No. 4
Figure 5
8. A beam AB of length 10 m is fixed at both ends and carries a U.D.L. of intensity
10 kN/m. calculate the fixing moments if the end B sinks by 1 cm. Take I = 14,500 cm4, E= 2.1 × 105 N/mm2 . [16]
? ? ? ? ?
6
Code No: R05312104 R05 Set No. 1
III B.Tech I Semester Supplementary Examinations,June 2010
AEROSPACE VEHICLE STRUCTURES-I Aeronautical Engineering
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. A beam AB of length 10 m is fixed at both ends and carries a U.D.L. of intensity
10 kN/m. calculate the fixing moments if the end B sinks by 1 cm. Take I = 14,500 cm4, E= 2.1 × 105 N/mm2 . [16]
2. The figure 6 shows a rolled steel beam of unsymmetrical I- section. If a similar I- section is welded on the top of it to form a symmetrical section, determine the ratio of the moment of resistance of the new section to that of single section. Assume the permissible bending stress in tension and compression to be the same. [16]
Figure 6
3. A pin jointed strut carries an axial compressive load P together with a lateral concentrated load W at the mid span as shown in figure 4. Determine the deflection at the mid-span of the strut. [16]
Figure 4
7
Code No: R05312104 R05 Set No. 1
4. A cantilever beam AB 6 m long is subjected to u.d.l of w KN/m. spread
over the entire length. Assume rectangular cross-section with depth equal to twice the breadth. Determine the minimum dimension of the beam so that the vertical deflection at free end does not exceed 1.5 cm and minimum stress due to bending does not exceed 10K N/C m2. Take E = 2 × 107N/C m2 . [16]
5. A metallic tube 5 m long, when subjected to axial tensile load of 50 kN experiences an extension of 5 mm. The tube is of 40 mm external and 25 mm internal dia. If the tube is now hinged at its ends and subjected to an axial compressive load, determine the maximum safe value for such a load. Take factor of safety as 3. [16]
6. Determine the natural frequency of the system shown in figure 8 .Given k1=k2 =
1500 N/m, k3 = 2000N/m, m = 5 kg. [16]
Figure 8
7. A mass is suspended from a spring system as shown in figure 5 Determine the natural frequency of the system. Take k1 = 5000N/m, k2 = k3 = 8000 N/m, m =
25 kg. [16]
Figure 5
8. For a cantilever of length L and loaded with a point load P at its free end as shown
in figure 2, the deflection equation (with x=0 at the free end) is given as
y = -(P/6EI)(2L3 - 3L2x+ x3 ). Use the Maxwell reciprocal theorm to determine
the deflection of free end of the cantilever when a load W is applied at a distance
'a' from the free end. [16]
8
Code No: R05312104 R05 Set No. 1
Figure 2
? ? ? ? ?
9
Code No: R05312104 R05 Set No. 3
III B.Tech I Semester Supplementary Examinations,June 2010
AEROSPACE VEHICLE STRUCTURES-I Aeronautical Engineering
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. A cantilever beam AB 6 m long is subjected to u.d.l of w KN/m. spread
over the entire length. Assume rectangular cross-section with depth equal to twice the breadth. Determine the minimum dimension of the beam so that the vertical deflection at free end does not exceed 1.5 cm and minimum stress due to bending does not exceed 10K N/C m2. Take E = 2 × 107N/C m2 . [16]
2. For a cantilever of length L and loaded with a point load P at its free end as shown
in figure 2, the deflection equation (with x=0 at the free end) is given as
y = -(P/6EI)(2L3 - 3L2x+ x3 ). Use the Maxwell reciprocal theorm to determine the deflection of free end of the cantilever when a load W is applied at a distance
'a' from the free end. [16]
Figure 2
3. A metallic tube 5 m long, when subjected to axial tensile load of 50 kN experiences an extension of 5 mm. The tube is of 40 mm external and 25 mm internal dia. If the tube is now hinged at its ends and subjected to an axial compressive load, determine the maximum safe value for such a load. Take factor of safety as 3. [16]
4. A pin jointed strut carries an axial compressive load P together with a lateral concentrated load W at the mid span as shown in figure 4. Determine the deflection at the mid-span of the strut. [16]
Figure 4
10
Code No: R05312104 R05 Set No. 3
5. A mass is suspended from a spring system as shown in figure 5 Determine the natural frequency of the system. Take k1 = 5000N/m, k2 = k3 = 8000 N/m, m =
25 kg. [16]
Figure 5
6. The figure 6 shows a rolled steel beam of unsymmetrical I- section. If a similar I- section is welded on the top of it to form a symmetrical section, determine the ratio of the moment of resistance of the new section to that of single section. Assume the permissible bending stress in tension and compression to be the same. [16]
Figure 6
7. A beam AB of length 10 m is fixed at both ends and carries a U.D.L. of intensity
10 kN/m. calculate the fixing moments if the end B sinks by 1 cm. Take I = 14,500 cm4, E= 2.1 × 105 N/mm2 . [16]
8. Determine the natural frequency of the system shown in figure 8 .Given k1=k2 =
1500 N/m, k3 = 2000N/m, m = 5 kg. [16]
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