The simply supported beam with an overhang shown in the enclosed sketch
is subjected to a concentrated force “P” at point A of a 150 kN and a distributed
force “w” of 75 kN/m between points E and B. Please notice that the sketch is not
at scale, the distances between points A, C, D, E, and B are labelled on the sketch.
The beam is a prismatic beam with a rectangular cross-section 100 mm wide and
300 mm tall. The beam is made of ASTM A36 steel with the following properties:
yield stress in tension 250 MPa, yield stress in shear 145 MPa, and a modulus of
elasticity of 200 GPa It is desired to obtain the following information:
1.) Reactions at the supports D and B, magnitude, and direction,
2.) Internal shear force diagram from A to B,
3.) Internal bending moment diagram from A to B,
4.) Maximum bending stress along the beam such as magnitude and sign and
in what beam section does it occur, within the section where will the
maximum occur. Is the design safe based on yield stress?
5.) Maximum shear stress along the beam and in what section does it occur
and within the section where it will occur. Based on the yield shear stress
is the design safe?
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