Calculate the magnitude of the axial force, Physics

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The symmetrical scissors truss shown below is supported at point A and D. The support at D is a rocker bearing and does not produce a horizontal reaction.  A, B, C, D, E & F are pin joints.  The members of the truss are not joined to each other where they cross.  At A, the angle between AB and AE is 45° and the angle between AC and AE is 26.57°.  The load at E is P18 kN and the load at F is P19 kN. 

The magnitude of the reaction force at D in kN rounded to 1 DP is    

Ans:

The load at F is now changed so that the vertical reaction at A is P20 kN. The Load at E remains the same.  

The magnitude of the axial force in Member AB in kN rounded to 1 DP is 

ANS

 The magnitude of the axial force in Member CD in kN rounded to 1 DP is

 ANS

The magnitude of the axial force in Member AE in kN rounded to 1 DP is

ANS

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