2) A simply supported beam is constructed in a way that a roller support is at the left end of the beam and a pin support is at the right end of the beam. The length of the beam is 5m and the beam is acted upon by a couple moment of 50kNm at its mid-length. The circular solid cross-section of the beam has a diameter of 8cm. The modulus of elasticity of the beam is 180GPA. Using the conjugate-beam method, calculate (a) the maximum displacement at the mid-length of the beam and (b) the slope at the point where the roller support is set (left end of the beam).

2) A simply supported beam is constructed in a way that a roller support is at the left end of the beam and a pin support is at the right end of the beam. The length of the beam is 5m and the beam is acted upon by a couple moment of 50kNm at its mid-length. The circular solid cross-section of the beam has a diameter of 8cm. The modulus of elasticity of the beam is 180GPA. Using the conjugate-beam method, calculate (a) the maximum displacement at the mid-length of the beam and (b) the slope at the point where the roller support is set (left end of the beam).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

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2) A simply supported beam is constructed in a way that a roller support is at the left end of the
beam and a pin support is at the right end of the beam. The length of the beam is 5m and the beam
is acted upon by a couple moment of 50kNm at its mid-length. The circular solid cross-section of
the beam has a diameter of 8cm. The modulus of elasticity of the beam is 180GPA. Using the
conjugate-beam method, calculate (a) the maximum displacement at the mid-length of the beam and
(b) the slope at the point where the roller support is set (left end of the beam).

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