1. Given the figure below, calculate the deflection of the simply supported beam at the centre. The...

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1. Given the figure below, calculate the deflection of the simply supported beam at the centre. The material is A36 steel.
2.Given the figure below, calculate the deflection of the simply supported beam at the centre. The material is A36 steel and the beam is ten feet long. The concentrated load is at the centre of the beam.
3. A square bar that is 50mm on a side is subject to 25 kN axial tension and a bending moment of 50 kNm. Compute the maximum combined stress.
4. A drive shaft transmits 80 kW of power at 60 rad/s. The drive shaft is 40mm in diameter. It is also subject to 60 kNm bending moment. Compute the maximum shear stress in the shaft.

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David · Accepted Answer

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1.
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P1               Fig. 1                  R1           P2                 Fig.2                   R2
Here for Fig 1 we know the deflection equation and it is given as; 
=
48  
(7 −  2 ) 
At center x= l, 
So we get,
=
48  
. 5  
Where, 
Where,  = 5 kg/ft = 160.9 N/m,  = 10 ft= 3.048 m. 
For specified beam ; 
+ 
2  
= 612 inch4 = 2.55* 10-4 m4, E= 200*109 N/m2  
= 0.028  
For Fig 2, 
We know,  
=
(2 )
48
 
Where, = 10 kg=98.1 N 
= 9.08 ∗ 10  mm 
Total deflection of the center of the beam is , + = =  0.037
2.

1. Given the figure below, calculate the deflection of the simply supported beam at the centre. The material is A36 steel. 2.Given the figure below, calculate the deflection of the simply supported...

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