Question

Determine the vertical displacement of point D under flexure using virtual-work equations. Flexural Rigidity (EI) of the beam is constant. S=3 and your distributed load is w=S+1=4 kN/m) Results table Ad,vertical w=(S+1) kN/m Α. B D 6 m 3 m 3 m K * Figure 4.

Answer 1

SOLUTION IS POSTED BELOW.

HOPE IT HELPS.

w = CS+) KNM I l I l llll B 3m 3m Gm Deflection at D using virtual work Method :- AS there is w = UKNIM first finding Reaction. Extanal work done= Internal work done ㄴ (1 kN) A= ос Internal Due to external Load. M = Moment M'= moment due to unit Load URNIM v lt L B 6m 3m 3m {fy=0 RAIRC= Ux6=24 KN EMA=0 4x6x C6t3. RC Xa=0 RC = 20 kn [RA= 0 Kn

Section limit O-6 BC 0-3 => 2002 2 CD 0-3 - ure? +2ure-12 (retis) 2 -) - 2re2+zur-12 Creti.5) ttttt C 1.5 Apply unit Load at find micro) 1 . SA 3 3 {fy=0 RAARC = 1 {mazo 1x12-RCxq=0 12 RC= 1.33KN =12 9 RA= -0.33 KN - 1 KN. 3

Section Range MiCre) 50- 6 - Ir si BC ما Crete) O- 3 - Creta) + wh- اله dos MM' ak E] go car) (1) Ca S (-202) (-1 Core 16)) car) 3 + S (-252 +24€ -12 Cichis)) C-1 Cretad + 12 ) alk O =) ot ya.5 t40.5 E그 (00-9 KM Hence a0 KM-NB