Last Updated on June 8, 2024 by Maged kamel
- List of Steel Beam Posts-part-4.
- Moment Redistribution For Continuous Steel Beams.
- Introduction to design of continuous beam, problem 4-15.
- Collapse load for a simply supported beam.
- Easy illustration for collapse load for indeterminate beam.
- Upper bound and lower bound definitions.
- Plastic Moment For Continous Beams.
- Solved Problem 8-22 For Plastic Moment.
- Solved problem 8-32 for the plastic Nominal Uniform load.
- Solved problems 8-33&34 for the nominal uniform load.
List of Steel Beam Posts-part-4.
Moment Redistribution For Continuous Steel Beams.
This is the 29th post of the steel beam posts-part-4, which includes a brief discussion of the statically indeterminate beams, where we will have both positive and negative moments and the methods we will use. We will review table-3-23 for continuous beam shear and moment values, redistribution of the moment, elastic redistribution, and 0.90 of the largest—ve moment.
![Pict -1-List of steel beam- part 4 Table 3-23 for shear and moment values.](https://magedkamel.com/wp-content/uploads/2024/06/Pict-1-List-of-steel-beam-part-4.jpg)
This is a link to post 29-Moment Redistribution.
Introduction to design of continuous beam, problem 4-15.
This is the 30th post of the steel beam posts-part-4, which includes a solved problem from Prof. Alan Williams’s book. Solved problem 4-15 Moment Redistribution. The uniform distributed loading, including the beam self-weight, acting on a two-span continuous beam, is shown in Fig. 4.16. Continuous lateral support is provided to the beam.
![Pict -2-List of steel beam- part 4 Solved problem 4-15 for continuous beams.](https://magedkamel.com/wp-content/uploads/2024/06/Pict-2-List-of-steel-beam-part-4.jpg)
Determine the lightest adequate W10 section using steel with a yield stress of 50 ksi.
This is the link for post 30: Introduction to design of continuous beam, problem 4-15.
Collapse load for a simply supported beam.
This is the 31st post of Steel beam Posts-part-4, which includes a solved problem, how to determine the plastic moment, and the collapse load value for a beam that is fixed at one end and has roller support at the other end. The beam is loaded by a concentrated load.
![Pict -3-List of steel beam- part 4 Introduction to plastic theory-part of list of steel beam posts-part-4.](https://magedkamel.com/wp-content/uploads/2024/06/Pict-3-List-of-steel-beam-part-4.jpg)
Easy illustration for collapse load for indeterminate beam.
This is the 32nd post of the Steel beam Posts-part-4, which includes a solved problem, how to determine the plastic moment, and the collapse load value for a beam fixed at one end and with roller support at the other end, loaded by a concentrated load.
![Pict -4-List of steel beam- part 4 Collapse load for a Built-in and roller support beam.](https://magedkamel.com/wp-content/uploads/2024/06/Pict-4-List-of-steel-beam-part-4.jpg)
This is the link for post 32: the Collapse load for the indeterminate beam.
Upper bound and lower bound definitions.
Here are two posts,33 and 33a-The two posts are among the Steel beam Posts-part-4, which includes the definitions of the lower bound & upper bound and the unique theorem. How to determine the relationship between the load factor and the distance from support for the same solved problem included in the previous post.
![Pict -5-List of steel beam- part 4 Upper bound and lower bound definitions.](https://magedkamel.com/wp-content/uploads/2024/06/Pict-5-List-of-steel-beam-part-4.jpg)
![Pict -6-List of steel beam- part 4 Load factor and distance from the support relation.](https://magedkamel.com/wp-content/uploads/2024/06/Pict-6-List-of-steel-beam-part-4.jpg)
This is the link for post 33: the Upper and lower bound definitions.
This is the link for post-33a: Step-by-19 step introduction to lower bound and uniqueness.
Plastic Moment For Continous Beams.
This is the 34th post of Steel beam Posts-part-4, which includes determining the plastic moment and the collapse UL load for a continuous beam with equal spans. Two methods are used: the statical method, or the lower bound method, and the Mechanism method, or the upper bound method.
![Pict -7-List of steel beam- part 4 Plastic Moment For Continous Beams.](https://magedkamel.com/wp-content/uploads/2024/06/Pict-7-List-of-steel-beam-part-4.jpg)
This is the link for post 34: Plastic Moment For Continous Beams.
For posts from post 35 to post 37, A mastan2 solution is included to verify our estimations.
Solved Problem 8-22 For Plastic Moment.
This is the 35th post of Steel beam Posts-part-4, which includes a solved problem: How to determine the collapse load value for a beam that is fixed at both ends and loaded by a concentrated load? Two methods are used: the first method is the statical method or the lower bound method, and the second method is the Mechanism or the upper bound method.
![Pict -8-List of steel beam- part 4 Solved Problem 8-22 For Plastic Moment.](https://magedkamel.com/wp-content/uploads/2024/06/Pict-8-List-of-steel-beam-part-4.jpg)
This is the link for post 35: Solved Problem 8-22 For Plastic Moment.
Solved problem 8-32 for the plastic Nominal Uniform load.
This is the 36th post of Steel beam Posts-part-4, which includes a solved problem: How can the collapse uniform load value for a given section of a simple beam partially loaded and fixed at both ends be determined?
![Pict -9-List of steel beam- part 4 Using Mastan#2 to find the location of plastic hinges and lambda value.](https://magedkamel.com/wp-content/uploads/2024/06/Pict-9-List-of-steel-beam-part-4.jpg)
The problem was further modified; the uniform load was relocated, and the two methods again estimated the plastic nominal uniform load. This is the link for post 36: Solved problems 8-32.
Solved problems 8-33&34 for the nominal uniform load.
There are two posts,37 and 37a. These two posts are part of the steel beam Posts-part-4, which includes two solved problems, 8.33 and 8-34.
![Pict -10-List of steel beam- part 4 Solved problem 8-33 for the nominal uniform load.](https://magedkamel.com/wp-content/uploads/2024/06/Pict-10-List-of-steel-beam-part-4.jpg)
. Using the given section, all of the A992 steel and the plastic theory, for the first problem 8.33- determine the value of Wn as indicated for a continuous beam with varying loading.
For the second problem, #.8.34, determine the value of Wn as indicated for a continuous beam fixed from both ends under Wn loads.
![Pict -11-List of steel beam- part 4 Solved problem 8-34 for the nominal uniform load.](https://magedkamel.com/wp-content/uploads/2024/06/Pict-11-List-of-steel-beam-part-4.jpg)
![Pict -12-List of steel beam- part 4 Using Mastan-2 for locations of plastic hinges.](https://magedkamel.com/wp-content/uploads/2024/06/Pict-12-List-of-steel-beam-part-4.jpg)
This is the link for post 37: A Solved problem, 8-33, for a nominal uniform load.
This is a link to post 37a-Solved problem-8-34 for a nominal uniform load.
This is a link to the next list of steel beam posts.
A very useful external resource, A Beginner’s Guide to Structural Engineering