A steel rod (20 mm diameter) 500 mm long is connected to two parallel aluminum rods (15 mm diameter) each 300 mm long via a rigid plate as shown. Two 70 kN loads at applied at the end of each aluminum rod. The structure is fixed at both ends resulting in a statically indeterminate system that can be treated as the superposition of two determinate systems as presented above. Note that Rc is the reaction at C. Assume Esteel = 200 GPa and Ealuminum = 70 GPa. a) Determine the reaction force at C, Rc b) Determine the reaction force at A and B and the normal stress in the steel and aluminum rods c) Which rods are in tension and which are in compression?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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100%
B
300 mm
↑
15 mm
70 KN
70 KN
20 mm
500 mm
Steel
Aluminum
AMIN
ATTIV
70 kN
70 KN
+
Rc
A steel rod (20 mm diameter) 500 mm long is connected to two parallel aluminum rods (15 mm
diameter) each 300 mm long via a rigid plate as shown. Two 70 kN loads at applied at the end of
each aluminum rod. The structure is fixed at both ends resulting in a statically indeterminate
system that can be treated as the superposition of two determinate systems as presented above.
Note that Rc is the reaction at C. Assume Esteel = 200 GPa and Ealuminum = 70 GPa.
a) Determine the reaction force at C, Rc
b) Determine the reaction force at A and B and the normal stress in the steel and aluminum rods
c) Which rods are in tension and which are in compression?
Transcribed Image Text:B 300 mm ↑ 15 mm 70 KN 70 KN 20 mm 500 mm Steel Aluminum AMIN ATTIV 70 kN 70 KN + Rc A steel rod (20 mm diameter) 500 mm long is connected to two parallel aluminum rods (15 mm diameter) each 300 mm long via a rigid plate as shown. Two 70 kN loads at applied at the end of each aluminum rod. The structure is fixed at both ends resulting in a statically indeterminate system that can be treated as the superposition of two determinate systems as presented above. Note that Rc is the reaction at C. Assume Esteel = 200 GPa and Ealuminum = 70 GPa. a) Determine the reaction force at C, Rc b) Determine the reaction force at A and B and the normal stress in the steel and aluminum rods c) Which rods are in tension and which are in compression?
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