Example on Coplanar Parallel Force System • Determine the reactions at A and B for the beams loaded as shown in Figure. 3 kN 5 kN A 4 kN B 4m 2m 6m 1m
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This can be done by summing up all the vertical forces acting on the beam. Total vertical force = 3 kN + 5 kN + 4 kN = 12 kN Show more…
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Calculate the reactions at A and B for the beam subjected to the two linearly varying distribution loads, shown in Fig (2).
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(b) A si m p l y s u p p o r t e d b e a m A B i s s h o w n i n F i g u r e Q 2 b . A p o i n t l o a d o f 8 k N i s a p p l i e d v e r t i c a l l y d o w n w a r d a t 2 m f r o m t h e l e f t e n d A . A d i s t r i b u t e d v e r t i c a l l o a d o f 3 k N / m a c t s a l o n g t h e w h o l e s p a n o f t h e b e a m . ( i ) D e t e r m i n e t h e v e r t i c a l r e a c t i o n f o r c e s a t s u p p o r t s A a n d B . ( 4 ) ( i i ) D r a w t h e S h e a r F o r c e d i a g r a m . ( 4 ) ( i i i ) D r a w t h e B e n d i n g M o m e n t d i a g r a m . ( 4 )
Figure 4 shows a free body diagram of two forces (8 kN and 12 kN respectively) acting on a 10 m long beam. A 6 kN/m UDL acts over a 5 m length as shown. Disregarding the weight of the beam determine the reaction forces RA and RB respectively. (6 marks) 8 kN 12 kN 6 kN/m RA RB 2 m 1 m 2 m 3 m 2 m Figure 4: Free body diagram of Forces and reaction forces acting on a beam
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