Question

A beam rests on a hinged support at B and a spring support at C. A concentrated load P (10 N) acts at the end of the beam at A. Span AB has 5 m length, the span BC has 10 m length, and the spring has 10 kN/m spring constant ($k$). Young's modulus ($E$) of the beam is 200 GPa. Provide answers to the following questions: a) Calculate reactions at support B and C and obtain internal bending moment in the whole range of the beam b) Determine the displacement ($\delta_A$) and indicate the displacement direction at A by equating the work done during loading to the strain energy c) Determine the displacement ($\delta_A$) and indicate the displacement direction at A by using Castigliano's theorem Note: Disregard beam weight and shear deformation. Assume that no torsional force occurs in the beam.

          A beam rests on a hinged support at B and a spring support at C. A concentrated load P (10 N) acts at the end of the beam at A. Span AB has 5 m length, the span BC has 10 m length, and the spring has 10 kN/m spring constant ($k$). Young's modulus ($E$) of the beam is 200 GPa.
Provide answers to the following questions:
a) Calculate reactions at support B and C and obtain internal bending moment in the whole range of the beam
b) Determine the displacement ($\delta_A$) and indicate the displacement direction at A by equating the work done during loading to the strain energy
c) Determine the displacement ($\delta_A$) and indicate the displacement direction at A by using Castigliano's theorem
Note: Disregard beam weight and shear deformation. Assume that no torsional force occurs in the beam.

a beam rests on a hinged support at b and a spring support at c a concentrated load p 10 n acts at the end of the beam at a span ab has 5 m length the span bc has 10 m length and the spring 46266

Added by Benjamin W.

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