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Civil EngineeringQ&A LibraryProblem 4For the shown structure, AB is made by A-36 steel (Est = 200GPA, ast = 12 x 10-67 °C) and BC is made by%|73.1GPA, aal = 23 × 10-6/ °C). Both AB and BC are having circular cross sectional area. Thealuminum (Ealgap between C and the rigid wall at D is initially 0.15 mm. For the following situations, find (1) reaction forces atfixed end A and D (2) Plot the axial load diagramP=400 kN applied at B and there is no temperature-0.15 тm600 mm600 mmvi.changevii.P=400 kN applied and temperature in both AB and BC25°Csegments had dropped ATP=400 kN applied, however, the temperature in ABincreased ATst = 25°C and temperature in BCdecreased ATal = 25°Cvii.B.25 mm50 mmQuestion

Asked Feb 20, 2020

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Step 1

The free-body diagram of the structure is shown below.

Consider the equilibrium of forces in the horizontal direction.

Step 2

vi)

Given *P* = 400 kN

The elongation in a rod is given by,

Here, *F* is the force, *l* is the length of the rod, *A* is the area of the rod and *E* is the modulus of elasticity.

Step 3

The total elongation of the structure is 0.15 mm as there is no temperature change.

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