Shear Stress: Examining the Discrepancy

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SUMMARY

The discussion clarifies the relationship between shear stress and bending stress in structural analysis, specifically referencing Figure 7-4. It establishes that shear stress remains constant across the bottom face of a segment, while bending stress varies along the vertical length of the beam. The Profile view illustrates constant shear stress across the width, while other views depict varying bending stresses. Understanding these distinctions is crucial for accurately interpreting stress distributions in engineering applications.

PREREQUISITES
  • Understanding of shear stress and bending stress concepts
  • Familiarity with structural analysis and beam theory
  • Knowledge of stress distribution in materials
  • Ability to interpret engineering diagrams and figures
NEXT STEPS
  • Study the principles of shear and bending stress in beam theory
  • Learn about the significance of Figure 7-4 in structural analysis
  • Explore the relationship between shear stress and bending moments
  • Investigate the application of My/I formula in calculating bending stresses
USEFUL FOR

Engineering students, structural analysts, and professionals involved in material stress analysis will benefit from this discussion, particularly those focusing on beam behavior under various loading conditions.

fonseh
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Homework Statement


In the notes, the author stated that the shear stress is constant over the bottom face of the segment ... why in figure 7-4 , we can see that the shear stress varies ?

Homework Equations

The Attempt at a Solution


Which is correct ? The red circled part or the figure ? [/B]
 

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fonseh said:

Homework Statement


In the notes, the author stated that the shear stress is constant over the bottom face of the segment ... why in figure 7-4 , we can see that the shear stress varies ?

Homework Equations

The Attempt at a Solution


Which is correct ? The red circled part or the figure ? [/B]
They are both correct, the Profile view shows the shear stress at the bottom, constant across the width t, the other views show the varying bending stresses , not shear stresses, but if you look carefully in the 3D view you will find the constant longitudinal shear stress at the bottom of the plane ( \tau)
 
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PhanthomJay said:
the other views show the varying bending stresses , not shear stresses,
what do you mean by the other view here ? the figure 7-4 (b) in the first photo ?
 
PhanthomJay said:
They are both correct, the Profile view shows the shear stress at the bottom, constant across the width t, the other views show the varying bending stresses , not shear stresses, but if you look carefully in the 3D view you will find the constant longitudinal shear stress at the bottom of the plane ( \tau)
shear stress at the bottom plane ?
In the profile view , we could see that the stress ( i am not sure bending stress or shear stress) varies linearly ... But , you said it's constant across the width ? I'm confused
 
You should have long learned about bending stresses before tackling distributed shear stress. Figure 7.4b shoes the bending stress varying from max compression to 0 from top to NA, then up to max tension at bottom. Shear stress is shown in fig 7,4c as constant at the bottom across the thickness, t.
 
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PhanthomJay said:
You should have long learned about bending stresses before tackling distributed shear stress. Figure 7.4b shoes the bending stress varying from max compression to 0 from top to NA, then up to max tension at bottom. Shear stress is shown in fig 7,4c as constant at the bottom across the thickness, t.
so , in figure 7.4 b , the figure shown is the bending stress across the vertical length of beam ?
 
fonseh said:
so , in figure 7.4 b , the figure shown is the bending stress across the vertical length of beam ?
Yes, My/I bending stresses.
 

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