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Question

The yield strength and ultimate strength of 4.6 grade bolts are-

The correct answer is

240 N/mm2 and 400 N/mm2

Understanding Bolt Grades and Strength

Bolt grades are a standard way to indicate the mechanical properties of bolts, particularly their strength. The grading system provides information about the bolt's minimum ultimate tensile strength and minimum yield strength.

For metric bolts, the grade is typically shown as two numbers separated by a dot, like 4.6, 8.8, or 10.9. These numbers have specific meanings:

  • The first number is 1/100th of the nominal ultimate tensile strength (fu) in N/mm$^2$ (which is equivalent to MPa).
  • The second number indicates the ratio of the nominal yield strength (fy) to the nominal ultimate tensile strength (fu), multiplied by 10.

Calculating Strength for 4.6 Grade Bolts

Let's calculate the ultimate strength and yield strength for a 4.6 grade bolt based on these definitions:

1. Ultimate Tensile Strength (fu):

The first number in 4.6 is 4.

fu = First number $\times$ 100 N/mm$^2$

fu = 4 $\times$ 100 N/mm$^2$

fu = 400 N/mm$^2$

2. Yield Strength (fy):

The second number in 4.6 is 6.

The ratio of yield strength to ultimate strength is (Second number / 10).

Ratio fy/fu = 6 / 10 = 0.6

So, fy = Ratio $\times$ fu

fy = 0.6 $\times$ 400 N/mm$^2$

fy = 240 N/mm$^2$

Comparing Strengths with Options

Based on our calculations, the yield strength of 4.6 grade bolts is 240 N/mm$^2$, and the ultimate tensile strength is 400 N/mm$^2$. Let's compare these values with the given options:

Option Yield Strength Ultimate Strength Match?
1 240 N/mm$^2$ 400 N/mm$^2$ Yes
2 20 N/mm$^2$ 28 N/mm$^2$ No
3 200 N/mm$^2$ 400 N/mm$^2$ No (Yield doesn't match)
4 200 N/mm$^2$ 280 N/mm$^2$ No

Option 1 provides the values 240 N/mm$^2$ and 400 N/mm$^2$ for yield strength and ultimate strength, respectively, which exactly matches our calculated values for 4.6 grade bolts.

Conclusion on 4.6 Grade Bolt Strength

The yield strength and ultimate strength of 4.6 grade bolts are determined directly from the grading numbers. The calculations show the yield strength to be 240 N/mm$^2$ and the ultimate strength to be 400 N/mm$^2$. These are important mechanical properties when designing with bolts, especially in structural applications.

Revision Table: Bolt Grades

Bolt Grade Yield Strength (N/mm$^2$) Ultimate Strength (N/mm$^2$) Common Use
4.6 240 400 General purpose applications, non-structural
4.8 320 400 Slightly higher yield than 4.6
5.6 300 500 Medium strength applications
8.8 640 800 High strength structural applications
10.9 900 1000 Very high strength structural applications
12.9 1080 1200 Highest strength metric bolts

Additional Information on Bolt Strength and Testing

The strengths listed for bolt grades like 4.6 are minimum specified values. Actual strengths may be higher. These properties are verified through standardized tensile testing.

  • Yield Strength: This is the stress at which the material begins to deform plastically. For bolts, it's a critical value in design as it indicates the load limit before permanent elongation occurs.
  • Ultimate Tensile Strength: This is the maximum stress the material can withstand before it begins to neck down and fracture. It represents the maximum load the bolt can carry in tension before failure.
  • Units: Strength is typically measured in stress units, such as N/mm$^2$ (Newtons per square millimeter) or MPa (MegaPascals). 1 N/mm$^2$ is equal to 1 MPa.

Choosing the correct bolt grade is essential for the safety and integrity of bolted connections in various engineering applications, from simple assemblies to critical structural joints. The 4.6 grade bolt is considered a low-strength bolt suitable for general-purpose applications where high loads are not anticipated.

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Important Questions from Bolted Connections

  1. The nominal diameter of the bolt is 14 mm then the diameter of bolt hole will increase by

  2. What is the permissible tensile stress in bolts used for column bases?

  3. The strength at which steel fails under repeated load application is known as

  4. Eccentricity of connections introduces

  5. As per IS-800, the maximum value of rivet pitch is taken as-

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