Maximum Axial Load for OBLIQUE PLANE Stresses in 1 Minute!
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
🔩 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
💡Uniform cross-section
💡Simple scarf splice
💡Maximum allowable tensile stress
💡Load
💡Normal stress
💡Inclined surface
💡Shearing stress
💡Shearing stress and strain
💡Angle theta
💡Cross section
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.
Transcripts
two wooden members of uniform
cross-section
are joined by the simple scarf splice
shown knowing that the maximum allowable
tensile stress in the glute splice is 75
psi
what is the largest load p that can be
safely supported
and what is the corresponding shearing
stress this is the second example to the
shearing stress and strain main video
the links to the previous example in
that main video are in the description
below
if we know what the maximum allowable
tensile stress
is we know that the part will be safe if
the normal stress at the inclined
surface
doesn't exceed that value solving for
load p
and knowing that in this case the given
angle 30 degrees
is in fact theta as opposed to the
previous example
and knowing that the area refers to the
cross section perpendicular to the load
we find that the load p should not
exceed 1500 pounds
with this load value and the expression
we derived for the shearing stress in
the main video
we find that the shearing stress is 43.3
psi
for more examples on shearing stress and
strain make sure to check out the links
in the description below
thanks for watching
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