Question #102612

(Question in statics of objects)

A cantilever horizontal beam ABCD of negligible weight is completely fixed at D to a wall.It is subjected to a uniform distributed load on the part AB of intensity q=qo kN/m ,and a linearly distributed load on the part BCD of intensity q=qo kN/M at point B and q=0 at D.In addition, the beam is also subjected to a force F1=qo kN at A , a force F2 =2qo kN at B and a moment couple M1=qo/3 kN.m at B ,and a Force F3=2qo kN and a moment couple M2=2qo kN.m at C.

(Note the loads are directed downward, F3 is directed downward, while the others are upward, M1-M2 are clockwise,AB=BC=CD=2m)

It is required to determine the equations of the internal actions on the beams part ABC and represent them graphically (SFD & BMD)

A cantilever horizontal beam ABCD of negligible weight is completely fixed at D to a wall.It is subjected to a uniform distributed load on the part AB of intensity q=qo kN/m ,and a linearly distributed load on the part BCD of intensity q=qo kN/M at point B and q=0 at D.In addition, the beam is also subjected to a force F1=qo kN at A , a force F2 =2qo kN at B and a moment couple M1=qo/3 kN.m at B ,and a Force F3=2qo kN and a moment couple M2=2qo kN.m at C.

(Note the loads are directed downward, F3 is directed downward, while the others are upward, M1-M2 are clockwise,AB=BC=CD=2m)

It is required to determine the equations of the internal actions on the beams part ABC and represent them graphically (SFD & BMD)

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