For a beam in Figure 2, redraw the cross section and indicate the neutral axis as well as the different heights on the beam from neutral axis. 2,2)If the shear force is 50 kN, calculate the shear load per metre length at the top of the flange of the T - section. (Start the calculations by setting the origin on the bottom of the cross section).
2,1)For a beam in Figure 2, redraw the cross section and indicate the neutral axis as well as the different heights on the beam from neutral axis.
2,2)If the shear force is 50 kN, calculate the shear load per metre length at the top of the flange of the T - section. (Start the calculations by setting the origin on the bottom of the cross section).
Given is composite homogeneous section. For a homogeneous section, the neutral axis passes through the geometric centroid of the section.
To determine the location of the neutral axis, we need to locate the y-coordinate (yc) of the centroid of the given shape. For this we can use the method of composite areas.
In this method the shape is divided into sub-sections, such that their centroid can be easily located from a reference point.
Thus, we can write,
here,
A: area of sub-sections
y: y-coordinate of centroid of the sub-section
The shear load per meter length also called shear flow (q) can be computed using the following equation:
here,
V: shear force acting on the section = 50 kN [given]
Q: first moment of area of element where shear flow is required w.r.t. neutral axis
I: Second moment of inertia about the neutral axis
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