3.1 - Problem on Productivity Estimation
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Understanding the Swell Factor
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Today, let's start with an important concept in scraper productivity: the swell factor. Can anyone tell me what the swell factor represents in earthmoving?
Isn’t it the ratio of the loose volume of material to its bank volume?
Exactly, Student_1! The swell factor helps us understand how much a given volume of material expands when it becomes loose. Now, what happens to the swell factor when we have push-loaded scrapers?
I think it increases by 10% because of compaction, right?
Spot on! This compaction is crucial when estimating the weight of the load in the scraper. Remember, for push-loaded scrapers, we always need to account for this increase. Let's recap: the swell factor helps gauge material volume changes, especially under additional pressure from pushers.
Analyzing Cycle Times
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Now, let's talk about the various time components in a scraper's cycle. Who remembers the average loading time for a scraper?
It's 0.8 minutes, right?
Correct! And how about dumping time?
That should be 0.37 minutes for a typical scraper.
Nice work! So far, we know the loading and dumping times. Can someone remind me how we calculate the total cycle time?
We add all specific activity times together, right?
Exactly! And now, let’s remember that the cycle time for scrapers must also consider travel times depending on haul route characteristics.
Calculating Haul Route Resistance
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In earthmoving operations, resistance plays a key role in estimating productivity. Can someone tell me what types of resistance we consider?
We look at rolling resistance and grade resistance!
Correct! Rolling resistance is constant, while grade resistance can vary based on the slope of the haul route. Can anyone tell me how we can express these resistances?
They can be expressed in kg per ton or as a percentage gradient!
Exactly, Student_3! Knowing these helps us apply them to calculate the total resistance that affects our scraper's speed. Let’s summarize: resistance factors are critical in estimating effective travel speeds on different haul segments.
Balancing Scrapers and Pushers
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Finally, let's discuss balancing the number of scrapers to pushers. Why is this balance important?
It helps reduce the waiting time for machines, right?
Precisely! We want to ensure that one pusher can serve multiple scrapers effectively. Alright, if our scraper cycle is 7.78 minutes and the pusher cycle is shorter, how do we find the number of scrapers per pusher?
We divide the scraper cycle time by the pusher cycle time!
Excellent work! This ratio gives us insights into optimizing our resources. To recap, finding the right balance between scrapers and pushers can significantly enhance productivity.
Introduction & Overview
Read summaries of the section's main ideas at different levels of detail.
Quick Overview
Standard
In this section, the process of estimating the productivity of scrapers and the interaction between scrapers and pushers is examined. Details on material properties, cycle times for various activities, and the impact of gradient and resistance on productivity are provided. The section concludes with methods for balancing the number of scrapers with pushers to optimize performance.
Detailed
Detailed Summary
In this section, we delve into the productivity estimation of scrapers used in earthmoving operations. The discussion begins with an introduction to scrapers, focusing on their operation in moving dry earth soil with specific unit weights and swell factors. Key concepts such as the swell factor—defined as the ratio of loose dry unit weight of material to its bank dry unit weight—are introduced, including adjustments for pusher loading which increases the swell factor by 10%.
We explore the various cycle elements of scraper operation, including average loading and dumping times, as well as turn times in both the fill and cut areas. Resistance factors on haul routes are analyzed, along with the importance of breaking down the haul distance into manageable segments based on gradient.
The segmental analysis covers different gradients experienced during operation, providing a detailed understanding of how rolling resistance and grade resistance impact overall productivity. A systematic approach to estimating travel times and costs leads to methods for balancing the number of scrapers and pushers in operation, ensuring an efficient workflow. The productivity calculations culminate in determining the unit cost of production, essential for effective project management in construction.
Audio Book
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Introduction to the Problem
Chapter 1 of 7
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Chapter Content
In this lecture, we are going to discuss or we are going workout some problems on the estimation of the productivity of the scraper.
Detailed Explanation
In this section, we begin by outlining the main objective, which is to estimate the productivity of scrapers used in earth-moving operations. This mathematical estimation involves calculating the efficiency and effectiveness of scrapers under specific conditions of soil and operational constraints.
Examples & Analogies
Think of this like evaluating the fuel efficiency of your car. Just as you calculate how far you can go on a certain amount of fuel, we want to find out how much earth a scraper can move efficiently.
Specifications of the Scraper
Chapter 2 of 7
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Chapter Content
So, a scraper with the assistance of the pusher is moving the dry earth soil having unit weight of 1660 kg per bank meter cube.
Detailed Explanation
Here we establish the specific conditions under which the scraper operates. The unit weight of the dry earth soil is a critical factor, as it helps in determining how much material the scraper can lift and move at a given time, which directly affects productivity.
Examples & Analogies
Consider carrying a shopping bag. The weight of the items inside affects how easily you can move. Similarly, the weight of the soil impacts the scraper's performance.
Understanding the Swell Factor
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Chapter Content
The swell factor is given as 0.80, which increases by 10% due to pushing.
Detailed Explanation
The swell factor indicates how much the volume of a material increases when it is loosened or excavated. In this case, the original swell factor is adjusted because, with the push from another machine, the soil gets compacted more, increasing the effective weight and reducing the volume the scraper can carry.
Examples & Analogies
Imagine how a sponge expands when it's soaked with water. The swell factor shows how much 'extra' volume the soil has when disturbed. Just like squeezing a sponge can create more water in your hands, pushing soil can make it denser.
Rolling Resistance and Gradient
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Chapter Content
Assume the rolling resistance of 50 kg per ton for this particular haul route the rolling resistance is 50 kg per ton.
Detailed Explanation
Rolling resistance refers to the frictional force the scraper faces while moving. Knowing this resistance allows us to calculate how much power is needed to move the scraper, impacting overall productivity. The conversion of rolling resistance to an equivalent gradient also assists in understanding how steep the path is and how easily the scraper can move.
Examples & Analogies
Think about riding a bicycle on different surfaces. Riding on a smooth path is easier (less rolling resistance) than on a gravel road (more rolling resistance).
Estimating Cycle Times
Chapter 5 of 7
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Chapter Content
The average loading time is given as 0.8 minutes... the corresponding average loading time is 0.8 minutes.
Detailed Explanation
Determining the cycle time for loading, unloading, and transporting is critical in productivity analysis, as it represents the total time taken for the scraper to complete its tasks. Each duration, from loading to dumping, must be carefully calculated to evaluate efficiency.
Examples & Analogies
It's similar to measuring how long it takes you to pack your bag before a trip, travel to your destination, and unpack once you arrive. Each step matters for the total time to enjoy your trip.
Calculating Total Resistance
Chapter 6 of 7
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Chapter Content
So, now the next step is we have to determine what are all the resistance in the haul route?
Detailed Explanation
Total resistance factors into our calculations regarding how effectively a scraper can operate under the given conditions. By analyzing different sections of the haul route, we can better understand how terrain affects performance.
Examples & Analogies
Consider it like planning a hiking trip where different terrains (flat vs. uphill) will affect how fast you can walk. Likewise, different parts of the haul route can either aid or hinder the scraper's efficiency.
Balancing the Scraper and Pusher Operations
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Chapter Content
Now let us see the balanced number of scrapers which are served by one pusher.
Detailed Explanation
Balancing the number of scrapers and pushers is crucial to streamline operations. By understanding how many scrapers one pusher can efficiently support, we can minimize unnecessary waiting times and maximize productivity.
Examples & Analogies
Imagine a waiter serving multiple tables at a restaurant. If he tries to serve too many tables at once, he might take too long with each. But if he's balanced, each table gets served efficiently, keeping the restaurant running smoothly.
Key Concepts
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Swell Factor: Indicates how material volume changes from bank to loose state, essential for estimating weights.
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Cycle Time: Comprises loading, traveling, and unloading durations, critical for productivity assessments.
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Rolling Resistance: Affects the speed and efficiency of earthmoving operations, derived from the haul route conditions.
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Grade Resistance: A key factor based on the slope of the route, influences the effective load on the machinery.
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Gross Weight: Total operational weight of the scraper, crucial for calculating resistance and efficiency.
Examples & Applications
A scraper with a heaped capacity of 23.7 m³ is loaded to 95%, resulting in an effective loose volume of 22.52 m³.
During a haul route with a 5% upward gradient, the effective rolling resistance is expressed as 50 kg per ton.
Memory Aids
Interactive tools to help you remember key concepts
Rhymes
To know the swell, just give it a yell, from bank to loose, it tells the true use.
Stories
Imagine a fat cat named Swell who loves to play in the dirt. When he digs into the soil, it spreads out, just like when we handle materials, turning from bank to loose, and that's the swell factor!
Memory Tools
Remember the acronym SCRAPE for Speed (travel), Cycle time, Resistance, Average load, Pusher impact, and Efficiency.
Acronyms
CYCLE for Cycle time
Components
Yield
Capacity
Load time
Efficiency.
Flash Cards
Glossary
- Swell Factor
The ratio of loose dry unit weight to bank dry unit weight, indicating how volume changes when material is disturbed.
- Cycle Time
The total time taken by a machine to complete one full cycle of operation, including loading, hauling, and unloading.
- Rolling Resistance
The resistance encountered when a vehicle moves over a surface, which impacts its speed and efficiency.
- Grade Resistance
The resistance due to the slope of the haul route, influencing the power needed for movement.
- Gross Weight
The total weight of a machine, including its empty weight and the weight of the load it carries.
Reference links
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