Direction: A rigid beam is hinged at one end and supported on linear elastic springs (both having a stiffness of ‘k’) at points ‘1’ and ‘2’ and an inclined load acts at ‘2’, as shown.
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If the load P equals 100 kN, which of the following options represents forces R1 and R2 in the springs at points ‘1’ and ‘2’?
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- R1 = 20 kN and R2 = 40 kN
- R1 = 50 kN and R2 = 50 kN
- R1 = 30 kN and R2 = 60 kN
- R1 = 40 kN and R2 = 80 kN
Correct Option: D
At 1,
| R1 = kδ1 = | = | = 40 kN | ||
| 5 | 5 |
At 2,
| R2 = kδ2 = | = 80 kN | 5 |
