Structural Analysis Test 1 victor-unlocked PDF

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1 TEST 1 STRUCTURAL ANALYSIS (SKAB 4223)

Sem. 1 Session 2020/2021

Duration: 2 hours Answer all Q1 and Q2 questions

Q1.

Figure Q1 shows a frame members AB and BC attached to a cable CD and subjected to distributed load of 5 kN/m. The structure is fixed at A and D and roller at B. By using the flexibility method and assuming internal (axial) force in cable CD and reaction at B as redundant, a)

find internal forces for members AB, BC and axial force for cable CD,

b)

draw the bending moment diagram and show important values on the diagram.

Take E = 2 × 108 kN/m2 , A = 0.012 m2 and I = 50 × 10-6 m4 for members AB and BC. Take E = 1.7 × 108 kN/m2 and A = 3 × 10-4 m2 for cable CD.

FIGURE Q1

2

Q2.

Figure Q2 shows a plane truss subjected to point loads of 90 kN and 70 kN. The truss is pin supported at nodes 1 and 4, and roller supported at node 3. All members have constant AE value. A downward settlement of 3000 AE occurred at pin support at node 4. By using the stiffness method, determine the unknown nodal displacements, axial force in member 2 and reaction forces at node 4.

FIGURE Q2...