A 4-m-long beam is subjected to a variety of loadings. 

(a) Replace each loading with an equivalent force-couple system at end A of the beam. 

(b) Which of the loadings are equivalent?

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400 N 200 N-m A 400 N 200 N m (a) (d) 200 N 800 N 1800 N-m 2300 N-m 800 N 200 N-m 2400 N-m 4000 N-m 600 N 400 N 300 N (b) 900 N-m 200 N 400 N-m 300 N 300 N-m 300 N 300 N-m 800 N S 900 N 4500 N-m 300 N-m 200 N