Calculating Bending & Shear Moment: Homework Statement

In summary, the conversation is about solving a problem that involves calculating the maximum bending moment and stress in a beam, sketching a graph of the stress distribution, determining the dimensions of the cross section that will minimize the maximum stress value, and finding the percentage reduction in the maximum stress value with a new cross section. The question was originally posted in 2014 and it is discouraged to resurrect old posts. It is recommended to create a new thread and follow the Homework Template for help.
  • #1
Ialf
2
0

Homework Statement


(a) Calculate the maximum bending moment
(b) Calculate the maximum stress in the beam
(c) At the point of maximum stress sketch a graph of the stress
distribution through the thickness of the beam, indicating which are
tensile and compressive stresses.
(d) Determine the dimensions of the cross section which will minimise
the maximum stress value if:
• the cross sectional area of the beam can be increased by 20%
• the beam section is to remain a solid rectangle
• neither the breadth or depth of the beam section can be reduced
below their original dimensions.
Show the dimensions of the proposed beam cross section with the aid
of a sketch

Determine the percentage reduction of the maximum stress value
when the new cross section is used.
 

Attachments

  • Doc2.docx
    149.5 KB · Views: 629
Last edited:
Physics news on Phys.org
  • #2
Hi, have you completed it. if so can you help me i got the same question
 
  • #3
Zimdo101 said:
Hi, have you completed it. if so can you help me i got the same question
Hi, Zimdo101:
lalf posted this question in August of 2014. He's probably moved on to another course somewhere, and he never posted again to this thread.

At PF, we discourage members from resurrecting old posts, a practice referred to as "necroposting".

If you want help here at PF, please create your own thread and be sure to follow the Homework Template, which also includes showing your attempt at solving the problem.
 
  • #4
Hi has anyone completed this? I have completed first two,
 

Related to Calculating Bending & Shear Moment: Homework Statement

What is bending moment and shear force?

Bending moment is a measure of the internal force or torque that is present in a structural element when it is subjected to external loads. Shear force, on the other hand, is the force that causes one part of a material to slide past another part.

How do you calculate bending moment and shear force?

Bending moment and shear force can be calculated by using equations that take into account the dimensions of the structural element, the type and magnitude of the external loads, and the material properties of the element.

What is the difference between bending moment and shear force?

The main difference between bending moment and shear force is that bending moment is a measure of the internal force or torque within a structural element, while shear force is the force that causes the material to slide past another part. Bending moment causes bending and deflection in a structural element, while shear force causes the material to shear or break.

What are some common applications of calculating bending moment and shear force?

Calculating bending moment and shear force is essential in the design and analysis of various structures such as buildings, bridges, and machines. It is also used in the design of beams, columns, and other structural elements in civil engineering and mechanical engineering projects.

What are some common methods for calculating bending moment and shear force?

Some commonly used methods for calculating bending moment and shear force include the moment-area method, the conjugate beam method, and the Macaulay's method. Other methods such as the slope-deflection method and the finite element method are also used in more complex situations.

Similar threads

  • Engineering and Comp Sci Homework Help
Replies
4
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
2
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
11
Views
2K
  • Engineering and Comp Sci Homework Help
Replies
6
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
2
Views
2K
  • Engineering and Comp Sci Homework Help
Replies
11
Views
4K
  • Engineering and Comp Sci Homework Help
Replies
1
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
8
Views
3K
  • Engineering and Comp Sci Homework Help
Replies
6
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
1
Views
915
Back
Top