Maximum Axial Load for OBLIQUE PLANE Stresses in 1 Minute!

Less Boring Lectures

18 Jan 202101:13

Summary

TLDRThis educational video explores the concept of shearing stress and strain through a practical example of a simple scarf splice in wooden members. It demonstrates how to calculate the maximum safe load, which is 1500 pounds, given a maximum allowable tensile stress of 75 psi. The video also computes the corresponding shearing stress to be 43.3 psi. Viewers are encouraged to check out additional resources for more examples on the topic.

Takeaways

📐 The video discusses a simple scarf splice joining two wooden members with a uniform cross-section.
🚫 The maximum allowable tensile stress for the splice is specified as 75 psi, which is the safety limit for the structure.
🔍 The video provides a calculation for the largest load 'p' that can be safely supported, which is determined to be 1500 pounds.
📉 The script mentions an angle of 30 degrees, which is crucial in the calculation and is identified as theta in this context.
📏 The area considered in the calculation is the cross-sectional area perpendicular to the load.
🔗 The video references a previous example and a main video on shearing stress and strain, with links provided in the description.
📚 The script is an educational resource, likely part of a series on shearing stress and strain.
📉 After calculating the load, the video derives the shearing stress, which is found to be 43.3 psi.
🔍 The shearing stress calculation is based on an expression derived in the main video, indicating a connection between different educational content.
👍 The video encourages viewers to check out more examples on shearing stress and strain through links in the description.
🙏 The video ends with a thank you note to the viewers for watching.

Q & A

What is the type of joint used to connect the two wooden members?
-The two wooden members are joined by a simple scarf splice.
What is the maximum allowable tensile stress in the glue splice?
-The maximum allowable tensile stress in the glue splice is 75 psi.
What is the largest load P that can be safely supported by the splice?
-The largest load P that can be safely supported by the splice is 1500 pounds.
What is the angle theta in this context, and how is it related to the load?
-In this context, theta is 30 degrees and it is the angle at which the load is applied to the inclined surface of the splice.
What is the area referred to when calculating the load P?
-The area referred to is the cross-sectional area perpendicular to the load.
What is the calculated shearing stress for the given load?
-The calculated shearing stress for the given load is 43.3 psi.
How does the normal stress at the inclined surface relate to the safety of the part?
-The part will be safe if the normal stress at the inclined surface does not exceed the maximum allowable tensile stress.
What is the significance of knowing the maximum allowable tensile stress?
-Knowing the maximum allowable tensile stress helps in determining the safe load that the structure can handle without failure.
Can you provide more examples on shearing stress and strain?
-More examples on shearing stress and strain can be found in the links provided in the description of the main video.
What is the purpose of the video script provided?
-The purpose of the video script is to explain the calculation of the largest safe load and corresponding shearing stress for a simple scarf splice in wooden members.
How can viewers find more information on this topic?
-Viewers can find more information by checking out the links in the description of the main video on shearing stress and strain.

Outlines

00:00

🔩 Maximum Load Calculation for a Scarf Splice

This paragraph discusses the calculation of the maximum load that a simple scarf splice in two wooden members can safely support. It mentions the maximum allowable tensile stress of 75 psi for the splice. The angle of the splice is identified as 30 degrees, which is crucial for the calculation. By applying the principles of stress and strain, the paragraph concludes that the largest load that can be safely supported is 1500 pounds. Additionally, it calculates the corresponding shearing stress to be 43.3 psi using the derived formula from the main video on shearing stress and strain. The paragraph encourages viewers to check out additional examples in the description for further understanding.

Mindmap

Keywords

💡Wooden members

Wooden members refer to structural components made from wood, which are used in various applications including construction and engineering. In the context of the video, these members are joined together, indicating a focus on the structural integrity and load-bearing capacity of wooden elements in a construction setting.

💡Uniform cross-section

A uniform cross-section implies that the dimensions of the wooden members are consistent along their length. This is important for the video's theme as it ensures that the stress and load distribution can be uniformly calculated across the entire length of the members.

💡Simple scarf splice

A simple scarf splice is a method of joining two wooden members end-to-end by cutting a scarf joint, which is a type of angled joint, on each end. This concept is central to the video as it discusses the strength and safety of this particular type of joint under load.

💡Maximum allowable tensile stress

This term refers to the highest stress that a material can withstand without breaking or failing. In the video, it is given as 75 psi for the glued splice, which is a critical parameter for determining the safe load that the structure can support.

💡Load

Load in this context refers to the weight or force that the wooden members are expected to support. The video script calculates the largest safe load, which is a fundamental concept in structural engineering to prevent failure.

💡Normal stress

Normal stress is the force applied perpendicular to the surface of an object. The video discusses ensuring that this stress at the inclined surface of the splice does not exceed the maximum allowable tensile stress to maintain structural safety.

💡Inclined surface

The inclined surface mentioned in the script is the angled joint created by the scarf splice. The angle of this surface is crucial for calculating the distribution of stress and load across the joint.

💡Shearing stress

Shearing stress is the force that causes or tends to cause two adjacent layers of a material to slide past one another. The video calculates this stress for the given load to ensure that the joint can safely resist the force that tends to slide the wooden members apart.

💡Shearing stress and strain

This is a broader topic that the video script is a part of, focusing on the mechanical properties of materials and how they respond to shear forces. The script provides an example calculation of shearing stress, which is a key concept in understanding material deformation under load.

💡Angle theta

Theta (θ) is the symbol used in the script to represent the angle of the inclined surface in the scarf splice. The angle is an essential factor in the calculation of both tensile and shearing stresses, as it affects how forces are distributed across the joint.

💡Cross section

The cross section in the script refers to the area of the wooden members that is perpendicular to the direction of the applied load. It is used to calculate the stress on the members and is a fundamental concept in structural analysis.

Highlights

Two wooden members are joined by a simple scarf splice.

The maximum allowable tensile stress in the splice is 75 psi.

The part will be safe if the normal stress at the inclined surface doesn't exceed the given value.

The angle of 30 degrees is actually theta in this example.

The area refers to the cross-section perpendicular to the load.

The load should not exceed 1500 pounds for safety.

Shearing stress is calculated using the derived expression from the main video.

The calculated shearing stress is 43.3 psi.

This is the second example to the shearing stress and strain main video.

Links to the previous example in the main video are provided in the description.

The video discusses the safety of a part under tensile stress.

The importance of not exceeding the maximum allowable tensile stress is emphasized.

The example demonstrates the calculation of load p for a safe structure.

The angle theta is crucial in determining the load capacity.

The cross-sectional area is key in calculating the load.

The video provides a specific example with a load value of 1500 pounds.

Shearing stress is an important factor in structural integrity.

Further examples on shearing stress and strain are available in the description.

The video concludes with a thanks to the viewers for watching.