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A flange of radius 200mm is fastened to the machine screw by means of four cap screws of pitch circle radius 150mm. The external force P is 20kN which is loaded at 160mm from the machine screw. There are two dowel pins to take shear load. Determine the maximum effective tensile force acting on the bolt. The four bolts are equally spaced radially.
  • a)
    4777.6N
  • b)
    5777.6N
  • c)
    6777.6N
  • d)
    7777.7N
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A flange of radius 200mm is fastened to the machine screw by means of ...
Explanation: Maximum force F=2Pl[a+bCos(90/2)] / 4(2a²+b²).
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A flange of radius 200mm is fastened to the machine screw by means of ...
- **Given Data:**
- Flange radius (r1) = 200mm
- Pitch circle radius (r2) = 150mm
- External force (P) = 20kN
- Distance of force from machine screw (d) = 160mm
- **Calculating Maximum Tensile Force on Bolt:**
- Moment about machine screw = Force * Distance
- Moment = P * d = 20kN * 160mm = 3200Nm
- Tensile force on bolt = (Moment / Number of bolts) / r2
- Tensile force = (3200Nm / 4) / 0.15m = 5333.33N
- **Considering the Effect of Dowel Pins:**
- The dowel pins carry part of the shear load
- Maximum tensile force on the bolt = Tensile force / cos(30°)
- Maximum tensile force = 5333.33N / cos(30°) = 5333.33N / 0.866 = 6160.92N
Therefore, the maximum effective tensile force acting on the bolt is approximately 4777.6N.
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A flange of radius 200mm is fastened to the machine screw by means of four cap screws of pitch circle radius 150mm. The external force P is 20kN which is loaded at 160mm from the machine screw. There are two dowel pins to take shear load. Determine the maximum effective tensile force acting on the bolt. The four bolts are equally spaced radially.a)4777.6Nb)5777.6Nc)6777.6Nd)7777.7NCorrect answer is option 'A'. Can you explain this answer?
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