The beam cross-section in Figure 1 belongs to the beam that is statically set up in Figure 2.

Learning Goal: I’m working on a mechanical engineering exercise and need an explanation and answer to help me learn.

a) Determine the beam cross-section moment of inertia Izz and largest static moment S=AV𝑦𝑦 .

b) Calculate the support reactions of the beam.

c) Draw the beam’s normal force diagram, transverse force diagram and moment diagram.

d) Determine the magnitude and location, along the beam and in cross-section, of the maximum normal stress.

e) Show in a figure the normal stress distribution in the cross section, part question d), show total

normal stress distribution as well as the normal stress distribution from normal force and

normal stress distribution from moments. (See figure 6-7 p. 94 in the textbook)

f) Determine the magnitude and location, along the beam and in cross-section, of the maximum shear stress.

g) Can the beam carry the loads if the strength of the material is fmd = 12 MPa and fvd = 1.3 MPa then |σ| ≤ fmd and |τ|≤fvd?

t (mm) = 9.5

a (m) = 3.05

b (m) = 0.41

q (kn/m) = 61.6

P1 (kN) = 81.7

P2 (kN) = 96.6

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