A cantilever beam with a ‘T’ shaped cross-section is loaded with a distributed load as shown below. The intensity of the distributed load is 100N/mm. b = 6.25mm and c=6.25mm. Parameter Description Value Units L - Beam length 250 mm a - Width of the flange 80 mm d - Height of the web 75 mm σ - Yield stress 250 MPa You are tasked with ensuring the beam can withstand the applied loading. To do this you must: a) Calculate the centroid for the given cross-section. Your value of ?ത should be measured from the bottom of the section. Determine an expression for Q (statical moment of area) for the given shape. The expression(s) for Q should be in terms of the variable, y, measured from the bottom of the section. b) Create a graph of the shear and bending stresses at the fixed support (B) over the crosssection. The stresses should be plotted as a function of y, measured from the bottom of the section.
A cantilever beam with a ‘T’ shaped cross-section is loaded with a distributed load as shown below.
The intensity of the distributed load is 100N/mm. b = 6.25mm and c=6.25mm.
Parameter Description Value Units
L - Beam length 250 mm
a - Width of the flange 80 mm
d - Height of the web 75 mm
σ - Yield stress 250 MPa
You are tasked with ensuring the beam can withstand the applied loading. To do this you must:
a) Calculate the centroid for the given cross-section. Your value of ?ത should be measured from
the bottom of the section. Determine an expression for Q (statical moment of area) for the
given shape. The expression(s) for Q should be in terms of the variable, y, measured from the
bottom of the section.
b) Create a graph of the shear and bending stresses at the fixed support (B) over the crosssection. The stresses should be plotted as a function of y, measured from the bottom of the
section.
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