Physics - Question - Stress, Area & Factor of Safety?

In summary: You should then sum the forces in the x and y directions to determine the resultant force. You can then use the equations for stress and factor of safety to determine the answers to the questions.In summary, we are tasked with determining the factor of safety for a bolt in an angled joint with a diameter of 10mm. The material has an ultimate tensile strength of 600MPa and a shear strength of 250MPa. We must determine the factor of safety in tension and in shear, as well as which factor of safety is safer. To find these values, we will need to determine the vector components of the force, sum the forces in the x and y directions, and use the equations for stress and factor of
  • #1
Danyolb
2
0
Diagram: http://img11.imageshack.us/img11/2442/boltlw.jpg

Question: The material for the bolt shown in the angled joint has an ultimate tensile stress of 600MPa and a shear strength of 250MPa. The diameter of the bolt is 10mm. Determine the factor of safety. Assume F=9KN.

Stress = Applied Force/ cross-sectional area
Factor of safety = ultimate tensile strength / actual tensile stress
 
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  • #2
The bolt is subject to both tensile and shear stresses. You have to determine each. What have you tried so far?
 
  • #3
I'm also stuck on virtually the same question as Danyolb's (different values though), so can anyone help in showing the full workings of the following please:

Diagram: http://img11.imageshack.us/img11/2442/boltlw.jpg

Question: The material for the bolt shown in the angled joint has an ultimate tensile strength of 600MPa and a shear strength of 250MPa. The diameter of the bolt is 10mm. Assume K=9kN. Determine (1) Factor of safety in tension, (2) Factor of safety in shear & (3) State which factor of safety is safer of the two.

Thanks.
 
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  • #4
Matty G said:
I'm also stuck on virtually the same question as Danyolb's (different values though), so can anyone help in showing the full workings of the following please:

Diagram: http://img11.imageshack.us/img11/2442/boltlw.jpg

Question: The material for the bolt shown in the angled joint has an ultimate tensile strength of 600MPa and a shear strength of 250MPa. The diameter of the bolt is 10mm. Assume K=9kN. Determine (1) Factor of safety in tension, (2) Factor of safety in shear & (3) State which factor of safety is safer of the two.

Thanks.
Matty, you are going to have show some attempt before we can help. You should first determine the vector components of the force acting along the axis of the bolt and perpendicular to its axis.
 
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1. What is stress in physics?

Stress in physics is defined as the force per unit area applied to an object. It is represented by the symbol σ and is measured in units of force divided by area, such as N/m² or Pa.

2. How is stress related to strain?

Stress and strain are directly related to each other through the material's modulus of elasticity. Strain is the measure of deformation caused by stress, and the relationship between them is described by Hooke's Law: σ = Eε, where E is the modulus of elasticity and ε is the strain.

3. What is the area in physics?

In physics, area is a measure of the size of a surface or region. It is typically measured in square units, such as square meters (m²) or square centimeters (cm²), and is calculated by multiplying the length of one side by the length of the adjacent side.

4. How is the factor of safety calculated?

The factor of safety is calculated by dividing the maximum stress the material can withstand by the actual stress applied. It is a measure of the safety margin built into the design of a structure or component, and a higher factor of safety indicates a more reliable and durable design.

5. Why is the factor of safety important in engineering?

The factor of safety is important in engineering because it ensures that a structure or component can withstand the expected stresses without failing. It also takes into account any uncertainties or variations in material properties, loads, or other factors that could affect the performance of the design. A higher factor of safety helps to prevent catastrophic failures and ensures the safety and reliability of the structure or component.

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