B300 mm15 mm70 kN70 kN20 mm↑500 mmсSteelAluminum70 KN+ f70 KNReA steel rod (20 mm diameter) 500 mm long is connected to two parallel aluminum rods (15 mmdiameter) each 300 mm long via a rigid plate as shown. Two 70 kN loads at applied at the end ofeach aluminum rod. The structure is fixed at both ends resulting in a statically indeterminatesystem that can be treated as the superposition of two determinate systems as presented above.Note that R, is the reaction at C. Assume Esteel = 200 GPa and Ealuminum = 70 GPa.a) Determine the reaction force at C, Reb) Determine the reaction force at A and B and the normal stress in the steel and aluminum rodsc) Which rods are in tension and which are in compression?

Answered: A steel rod (20 mm diameter) 500 mm…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

B
300 mm
15 mm
70 kN
70 kN
20 mm
↑
500 mm
с
Steel
Aluminum
70 KN
+ f
70 KN
Re
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 R, is the reaction at C. Assume Esteel = 200 GPa and Ealuminum = 70 GPa.
a) Determine the reaction force at C, Re
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?

Expert Solution

Step 1: Definition of tension:-

Tension is a force that stretches something. A reaction force is a force opposite in direction to an active force. A force that squeezes something together is compression.

Given:-

The magnitude of the load applied on aluminum rod = 70 kN

The diameter of the steel rod = 20 mm

The length of the steel rod = 500 mm

The diameter of both aluminum rod = 15 mm

The length of both aluminum rod = 300 mm

The modulus of elasticity of steel (E_s) = 200 GPa

The modulus of elasticity of steel (E_al) = 70 GPa

To determine:-

a) The reaction force at C

b) 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?

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions