An Apache helicopter hovers after takeoff under extreme weight conditions; its w

Question

An Apache helicopter hovers after takeoff under extreme weight conditions; its weight is 9,525 kg; its main rotor speed is 300 rpm; it is utilizing 3500 hp at the main rotor shaft; its rotor shaft diameter is 17.75 cm.

Note: the main rotor shaft of a helicopter drives the rotor blades that provide the lifting force to support the helicopter in the air.  

As a consequence, the main rotor shaft is subjected to a combination of torsion loading (i.e., a torque T=?) and axial loading (i.e., axial force P=?). Assume hover conditions of equilibrium. [Helicopter is at hover with all components of body-fixed linear velocity equal to zero (i.e., forward speed is zero; sideslip speed is zero; and climb rate is zero); and with all components of body-fixed angular rates equal to zero (i.e., pitch rate is zero; yaw rate is zero; and roll rate is zero). In particular lift and weight are balanced in zero climb rate.]  

Determine values, locations, and stress element locations for each of the following:

1. The maximum shear stress max in the main rotor

2. The maximum normal stress max in the main rotor

3. The minimum normal stress min in the main rotor

SHOW with Work

• Free-Body Diagrams (FBDs)

• Equations of Static Equilibrium

• Force and torque reactions for hover flight

• Initial Stress Calculations

• Initial Stress Elements

• Mohr Circle diagram

• Max/Min Stress Element Diagrams with Orientation

Values for Max Stress / Min Stress listed Above

Explanation / Answer

W=9525

Speed=300rpm

P=?

Initial stress calculations

Initial stress elements

Mohr circle diagram

Here it is tha vertical diagram

We need to the p volume we know the weight and speed in the rpm calculation

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