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Calculation Example – Member Diagram.
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Determine the diagrams for moment and shear for the following pinned at two ends beam. Total length 9m. EI constant. Units KN,m.

**Solution**

Shear diagram

Moment diagram

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Calculation Example – Maximum Deflection
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Determine the equation of the elastic curve for the beam using the x coordinate. Specify maximum deflection. EI is constant.

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Calculation Example – Rod loading
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Calculate the internal normal forces at points A,B,C for the rod which is loaded with the forces shown.

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Calculation Example – Cantilever Beam with point loads.
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Calculation Example – Cantilever Beam with uniform loading.
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Calculate the internal forces for the cantilever beam with the uniform loading q=10KN/m.

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Calculation Example – Reinforced Concrete Column at Stress.
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A rectangular column (400mmX400mm) is constructed of concrete and four steel reinforcing rebars. An axial force of 1000KN is subjected on the column. What is the diameter of the steel bars if the ¼ of the load is transferred to the steel bars and ¾ is transferred to the concrete? ( EST=200GPa, Ec=25GPa)

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Calculation Example – Torsional moment-Stress.
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Calculate the max stress because of torsional moment on the outer layer of a steel hollow rod when two forces act on it from a distance of 100mm from the center.