Question

Consider the bar in Fig.3.7 loaded as shown. Determine the nodal displacements, element stresses, and support reactions. Solve this problem by hand calculation, adopting the elim- ination method for handling boundary conditions. Verify your results using program FEMID. 400 mm2 250 mm2 P-300 kN > X

Answer 1

A= 4UDMY A >250 W E 2UDXJ0 Stepl Divide GVen gemety the 2 element D*creti2tion into ot geemetry C.S L.c.s 2. 2 2 3 2 2 lo baf displaamunt element wise atrix 4 fyce matrix FBD elements 30KN efement 51 U2 elamat tiffnes matrix Step 2clement tlement Kil -3.3 1 3.3 to A1E - 3.3 33 2. 2. 2 2. 2 K12 2 element -2.3 Ku 3.3 2- A2E 21 k2 -2.2 3.3

2.6 2.6 2.6 2.C 4 Step3 letaltrutura Ltiffnes is assembly-f k', k^^ k3 matrix 2.2 32 2.2 3233 -2.3 -3.3 2-3+2E 2.6 -2.6 2 422 Variable assemblines primary Continuity step while Evee) balance <econdany Variable hep2 Zerc Lif here is teY pobt Point load Cifttrs oad) Laad we know Condition th a -3.3 3.3 U2 -3.3 3-3+3.3 -3.3 - 3.3 3.3+2 6 -26 U3 a213R 2.6 -2.6 Uv C hpmay elimination mtho d conditions of prcblen 3.3 3.2 2x1 6.6U2 .gu3 to

ЗФо XI03 С.602 Зоох03 3.303 ,- Зxlо 6.6U2 3.203 = 2xjo *лg - 3.302+Sq02 сд luution 2 6.211F, U2 3.Sxlo mm