Please use my numbers! Thanks!! Determine the force and moment reactions at A fo

Question

Please use my numbers! Thanks!! Determine the force and moment reactions at A for the beam which is subjected to the load combination shown. The force reaction RA is positive if upward, negative if downward. The moment reaction MA is positive if counterclockwise, negative if clockwise.

Determine the force and moment reactions at A for the beam which is subjected to the load combination shown. The rce reaction RA is positive if upward, negative if downward. The moment reaction MA is positive if counterclockwise, negative if clockwise. 22 kips 27 kip-ft 3.4 kip/ft 2.1 kip/ft 21 kip/ft Answers: kips kip-ft

Explanation / Answer

Taking summation of all the vertical forces which will give Reaction at A i.e RA

RA = 22-(1/2*(2.1+3.4)*(3.6+2.9)

= 22-17.875

= 4.125 kips

Taking Moment of all the forces about A which will give us moments

MA =-27+(22*(3.6+3.6+2.9))-(17.875*((2*2.1+3.4)/(2.1+3.4))*((3.6+2.9)/3)

= 141.83 kip-ft

Centroid of trapezoidal area is given by (2*a+b)/(a+b)*(h/3)

where a = smaller side/base of a trapezoidal

b = larger side/base of a trapezoidal

h = height of trapezoid

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