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(Solved): A beam is subjected to equal 375Nm bending moments, as shown in Figure 1 . The crosssectional d ...



A beam is subjected to equal \( 375 \mathrm{Nm} \) bending moments, as shown in Figure 1 . The crosssectional dimensions of t

A beam is subjected to equal bending moments, as shown in Figure 1 . The crosssectional dimensions of the beam are shown. Determine: (a) the centroid location, the moment of inertia about the axis, and the controlling section modulus about the axis. (b) the bending stress at point . State whether the normal stress at is tension or compression. (c) the maximum bending stress produced in the cross section. State whether the stress is tension or compression. Figure 1: Beam and its cross-sectional dimensions


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Solution: Given the Bending moment,   


(a) the centroid location, the moment of inertia about the z-axis, and the controlling section modulus about the z-axis
centroid location,   
  
   (from the bottom of the section)
Total area,   
the moment of inertia about the z-axis,
  
  
  
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