Question

A cantilever beam 3 m long carries a load of 20 KN at its free end. Calculate the
shear force and bending moment at a section 2 m from the free end.​

Answer 1

Solution:

Support Reaction Calculation

ΣFy=0ΣFy=0

RA−4−(2x2)=0RA−4−(2x2)=0

RA=8kNRA=8kN

Shear Force Calculations:

(F)A=+8kN(F)A=+8kN

(FR)A=+8kN(FR)A=+8kN

(F)C=+8kN(F)C=+8kN

(F)B=+4=4kN(F)B=+4=4kN

(FR)B=4−4=0kN(FR)B=4−4=0kN

Bending Moment Calculations:

MB=0kN−mBisfreeend.MB=0kN−mBisfreeend.

MC=−(4x2)−(2x2)x1=−12kN−mMC=−(4x2)−(2x2)x1=−12kN−m

Answer 2

Answer:

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