Mechanical Engineering: Trolley Load Analysis and Component Design

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Added on  2022/11/17

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Homework Assignment
AI Summary
This assignment provides solutions for analyzing the structural integrity of a trolley under a 100 kg load. It addresses whether the trolley floor will buckle, calculates the diameter and factor of safety (FOS) for the pipe connecting it to a cycle, and determines the number and size of bolts needed to prevent breakage. Additionally, it examines the force required to push the loaded trolley and assesses the front tire's ability to withstand the weight. The analysis considers the material properties of aluminum and ABS plastic, calculating critical buckling loads, area, and FOS to ensure the trolley's safe operation. This solved assignment is available on Desklib, along with numerous other study resources for students.
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Task 1:
Solution 1:
To check if the Final Assembly buckles at a load of 100 Kg.
Now,
The provided assembly is a trolley which is used to transport loads from one place to another.
Material: Aluminum
Material Properties:
Young’s Modulus E Poisson’s ratio Yield Strength
69 Gpa 0.32 276 Mpa
here,
L = 0.66 m
P = 1000 N
a = 0.010 m
b = 0.500 m
E = 69e9 Pa
σy=276 Mpa
Now,
The Critical buckling load will be calculated as:
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Pbuck= π2 E I
L2
Where,
Length, L = 0.66 m
Young’s Modulus, E = 69 GPa
Moment of inertia,
I y= h b3
12 =1.0416667 m4
Now,
Pbuck=110840283.8 N
Now the Critical Buckling Load is calculated to be 110840 Kgs
100<110840
Now the Applied load is 100 Kg which is lesser than that of the Buckling load so the buckling will not
happen when applying a load of 100 Kg
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Solution 2:
To Find:
Diameter and FOS load of the pipe which is connected to cycle.
We know that,
The material Used is Aluminum:
Now,
The Diameter of the Hole is found to be 8.8 mm
Calculating the Area,
A=π r2 =5.0265 e3 m4
σy=276 Mpa
Taking an FOS of 2
σy= 276
2 =138 Mpa
Now,
The Maximum FOS load of the pipe can be found as,
σy= F
A
F=σy A=693657 N
The Max FOS load is found ¿ be 693.65 Kg
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Solution 3:
To find: No of bolts and Size
We have previously calculated that the total FOS load is calculated to be 693.65 Kg so that we must
select bolts that withstand a load of 700,000N.
From the chart we can select the appropriate bolt for the load of 700 Kg = 1500 Ibs
Select two bolts of Class 4.6 with load capacity of 763 Ibs.
Now to withstand a total of 1500 Ibs two bolts of capacity 763 Ibs from calss 4.6 is selected.
Selected Bolt properties:
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Task 2:
Solution 1:
Force required to move it when loaded with 100 Kg.
The total force required must be Greater than that of the total load acting due to 100Kg + the Weight of
the body.
Now assuming material for frame and body as Aluminum and Basket as ABS plastic we can get the
weight as 25 Kg as shown below:
Fig1. Mass property of Final Assembly
Total force required to move the trolley:
F=100+25=125 Kg
F=ma=125 X 9.81=1226 N
Any force Greater than 1226 N will move the Body
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Solution 2
Applying the load horizontally will transfer to the Front Tyre horizontally as:
Fig3. Load acting on Wheel
Now,
The wheel material consists of Yield Stress 276 Mpa the Area of the wheel that exposed to wheel is
found to be 80X80 mm = 6.4e-3 m4
σ = F
A
F= σ
2 A=883.200 Kg
The Loading Capacity of the Wheel at 2 FOS is found to be 883.200 Kgs so it can easily withstand a
Load of 100 Kg.
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