Consider the following showing the three-bar assembly. Nodes 1 and 4 are fixed. At node 2, a horizontal force of 50 kN is exerted. The modulus of elasticity of elements 1 and 2 is 200 GPa and that of element 3 is 110 GPa. Similarly, the area of cross section of elements 1 and 2 is 0.001 m² and that of element 3 is 0.002 m². Determine the reactions at nodes 1 and 4.

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A:

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A: The components of the reactions at A and B.Given:The load is.

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A: Step 1: Step 2: Step 3: Step 4:

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Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.