Discussion
A cantilever of length \( 2 \) m carries a tip load of \( 5 \) kN, with \( EI = 4 \times 10^6 \) N m\( ^2 \). Its tip deflection is
Answer: C
Correct answer: 3.33 mm
\[ \delta = \frac{PL^3}{3EI} = \frac{5000 \times 2^3}{3 \times 4\times10^6} = \frac{40{,}000}{1.2\times10^7} = 3.33\times10^{-3}\ \mathrm{m}. \] The cube on the length is what makes cantilever deflection so sensitive to span - doubling the length multiplies the tip deflection by eight.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development