Problem 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 mm

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Asked Feb 20, 2020
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Problem 4
For 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. The
aluminum (Eal
gap between C and the rigid wall at D is initially 0.15 mm. For the following situations, find (1) reaction forces at
fixed end A and D (2) Plot the axial load diagram
P=400 kN applied at B and there is no temperature
-0.15 тm
600 mm
600 mm
vi.
change
vii.
P=400 kN applied and temperature in both AB and BC
25°C
segments had dropped AT
P=400 kN applied, however, the temperature in AB
increased ATst = 25°C and temperature in BC
decreased ATal = 25°C
vii.
B.
25 mm
50 mm
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Problem 4 For 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. The aluminum (Eal gap between C and the rigid wall at D is initially 0.15 mm. For the following situations, find (1) reaction forces at fixed end A and D (2) Plot the axial load diagram P=400 kN applied at B and there is no temperature -0.15 тm 600 mm 600 mm vi. change vii. P=400 kN applied and temperature in both AB and BC 25°C segments had dropped AT P=400 kN applied, however, the temperature in AB increased ATst = 25°C and temperature in BC decreased ATal = 25°C vii. B. 25 mm 50 mm

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Expert Answer

Step 1

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

Civil Engineering homework question answer, step 1, image 1

Consider the equilibrium of forces in the horizontal direction.

Civil Engineering homework question answer, step 1, image 2

Step 2

vi)

Given P = 400 kN

Civil Engineering homework question answer, step 2, image 1

The elongation in a rod is given by,

Civil Engineering homework question answer, step 2, image 2

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.

Civil Engineering homework question answer, step 3, image 1

 

...

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