Strength of materials (shear and moment)

In summary, the shear curve is incorrect due to the incorporation of concentrated loads as if they were distributed loads. The correct shear values at points C and E should be 2.9375 kN and 0.9375 kN, respectively. This mistake was pointed out and corrected by the expert.
  • #1
defdek
12
0
R at B = 5.0625
R at A = 8.5kN-5.0625kN=3.4375kN

x/0.9375=(0.5-x)/4.5625

x=15/176

but moment near x there i get different from both side:
from A = 2.431kNm
from B = 2.346kNm

is there something wrong?
 

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  • #2
Your shear curve is not drawn correctly. For example, starting at A, the reaction gives a shear of 3.4375 kN. The distributed load between A and C is 1 kN/m over a distance of
0.5 m. At C, there should be a jump discontinuity in the shear. Approaching from the left, the shear is 3.4375 - 0.5 * 1 = 2.9375 kN. The 2 kN concentrated load is applied at point C only. The shear value at C approaching from the right is 0.9375 kN. A similar situation will occur at point E with the 5 kN concentrated load there.

In other words, your shear diagram is incorrect because you have incorporated the concentrated loads as if they were distributed loads.
 
  • #3
SteamKing said:
Your shear curve is not drawn correctly. For example, starting at A, the reaction gives a shear of 3.4375 kN. The distributed load between A and C is 1 kN/m over a distance of
0.5 m. At C, there should be a jump discontinuity in the shear. Approaching from the left, the shear is 3.4375 - 0.5 * 1 = 2.9375 kN. The 2 kN concentrated load is applied at point C only. The shear value at C approaching from the right is 0.9375 kN. A similar situation will occur at point E with the 5 kN concentrated load there.

In other words, your shear diagram is incorrect because you have incorporated the concentrated loads as if they were distributed loads.

Oh I didnt see that. Thank you so much... :D
 

1. What is shear stress and how is it calculated?

Shear stress is a type of stress that occurs when a force is applied parallel to a surface, causing the surface to slide against another. It is calculated by dividing the force applied by the cross-sectional area that the force is acting on.

2. How does shear stress affect the strength of a material?

Shear stress can cause a material to deform or fail if it exceeds the material's shear strength. This is because shear stress causes the atoms or molecules in the material to slide against each other, leading to a breakdown of the material's structure.

3. What is moment and how is it related to shear stress?

Moment is a measure of the turning effect of a force. It is calculated by multiplying the force by the perpendicular distance from the point of rotation to the line of action of the force. Shear stress is related to moment because when a moment is applied to a material, it creates a shear stress on the material.

4. What is the difference between shear stress and tensile stress?

Shear stress and tensile stress are both types of stress that a material can experience. The main difference between them is the direction of the force applied. Shear stress occurs when the force is applied parallel to the surface, while tensile stress occurs when the force is applied perpendicular to the surface.

5. How is the shear and moment diagram used in structural analysis?

The shear and moment diagram is a graphical representation of the shear force and bending moment at different points along a structural element. It is used in structural analysis to determine the shear and moment forces acting on a structure, which is important for ensuring the structural integrity and safety of a building or other structure.

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