AERO GATE TOPPER
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×GATE Aerospace Basic Aerodyanamics
AERO GATE TOPPER
1. A rectangular beam has a width of 100 mm and height of 200 mm. If a bending moment of 500 Nm is applied at an angle of 30° to the principal axis, calculate the angle of the neutral axis with respect to the principal axis (in degrees). Use one decimal place.
2. In unsymmetrical bending, the orientation of the neutral axis depends on:
3. Which of the following are primary effects of unsymmetrical bending in a beam?
4. A beam is subjected to a bending moment of 200 Nm along an axis at 45° to its principal axes. The principal moments of inertia are 3000 mm⁴ and 1500 mm⁴, respectively. Calculate the stress at a point located 50 mm from the neutral axis (in MPa). Use two decimal places.
5. Which of the following is the correct approach to analyze unsymmetrical bending in beams?
6. A beam experiences a bending moment of 300 Nm, applied at 60° to the principal axis. The moments of inertia are 2500 mm⁴ and 1500 mm⁴. Calculate the bending stress (in MPa) at a distance of 50 mm from the neutral axis. Use two decimal places.
7. Which of the following statements are true regarding the location of the neutral axis in unsymmetrical bending?
8. For a beam with an unsymmetrical cross-section, the moments of inertia are 5000 mm⁴ and 3000 mm⁴. If the beam is subjected to a bending moment of 400 Nm, calculate the maximum bending stress (in MPa) at a point 75 mm away from the neutral axis. Use two decimal places.
9. In an unsymmetrically loaded beam, the bending moment vector is oriented:
10. A beam with unsymmetrical cross-section is subjected to a bending moment of 250 Nm. The moments of inertia about the principal axes are 4000 mm⁴ and 2000 mm⁴. Calculate the deflection at a point 80 mm away from the neutral axis (in mm). Use two decimal places.
11. A beam experiences a bending moment of 500 Nm applied at an angle of 45° to the principal axis. The moments of inertia are 4000 mm⁴ and 2000 mm⁴. Calculate the angle of deflection (in degrees) at a point 100 mm from the neutral axis. Use two decimal places.
12. Which of the following effects occur in a beam undergoing unsymmetrical bending?
13. A beam with unsymmetrical cross-section is subjected to a bending moment of 300 Nm along an axis at 60° to the principal axis. The moments of inertia are 3500 mm⁴ and 2500 mm⁴. Calculate the deflection (in mm) at a point 120 mm away from the neutral axis. Use two decimal places.
14. What causes the neutral axis to shift in a beam under unsymmetrical bending?
15. A beam with moments of inertia 5000 mm⁴ and 3500 mm⁴ is subjected to a bending moment of 450 Nm at an angle of 45° to the principal axis. Calculate the maximum bending stress (in MPa) at a point 90 mm from the neutral axis. Use two decimal places.
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