Portfolio course optimal engineering
Bạn đang xem bản rút gọn của tài liệu. Xem và tải ngay bản đầy đủ của tài liệu tại đây (1.37 MB, 19 trang )
<span class="text_page_counter">Trang 1</span><div class="page_container" data-page="1">
<b>HCMC UNIVERSITY OF TECHNOLOGY AND EDUCATION FACULTY OF MECHANICAL ENGINEERING </b>
<b> </b>
<b>PORTFOLIO </b>
<b>COURSE: OPTIMAL ENGINEERING </b>
Instructor: A/Prof. Dr. Tran Ngoc Dam Student: Nguyen Cong Binh ID: 18143001
HCM City, 26/11/2021
</div><span class="text_page_counter">Trang 2</span><div class="page_container" data-page="2"><b>LINEAR PROBLEM: </b>
<b>1. MANUFACTURING PROBLEM: 1.1 Problem: </b>
Maximize profits of Coffee shop with limited materials in store.
Coffee Milk tea Chocolate <b>Stored </b>
+ x1: number of cups of coffee made per day + x2: number of cups of milk tea made per day + x3: number of cups of chocolate made per day
</div><span class="text_page_counter">Trang 3</span><div class="page_container" data-page="3"><b>1.3 Solving problem: </b>
Result: F = 466.670 VNĐ
Number of cups of coffe x1 = 33 cups Number of cups of milk tea x2 = 16 cups Number of cups of chocolate x3 = 0
</div><span class="text_page_counter">Trang 5</span><div class="page_container" data-page="5"><b>3. TRANSPORTATION: 3.1 Problem: </b>
Minimize the cost of transporting Cocacola to University canteen.
</div><span class="text_page_counter">Trang 6</span><div class="page_container" data-page="6"><b>3.3 Solving problem: </b>
<b>Result: </b>
F = 2,500,000 VNĐ
From Thu Duc to HCMUTE: x11=5 ; From Thu Duc to BUH: x12= 25; From Thu Duc to UFM: x13=10 ; From Binh Duong to HCMUTE: x21=10; From Dong Nai to HCMUTE: x31= 15
</div><span class="text_page_counter">Trang 7</span><div class="page_container" data-page="7"><b>4. COME BACK CITY WITH 4 BAGS: 4.1 Problem: </b>
Maximize the value of products brought from the countryside to the city. With limited number of bags and weight.
</div><span class="text_page_counter">Trang 8</span><div class="page_container" data-page="8"><b>4.3 Solving problem: </b>
<b>Result: </b>
<b>F = 3,750,000 VNĐ </b>
Number of kilos meet bring in left bag: x13 = 15kg Number of kilos meet bring in right bag: x23 = 20kg Number of kilos meet bring in back bag: x33 = 30kg Number of kilos meet bring in front bag: x43 = 10kg
</div><span class="text_page_counter">Trang 9</span><div class="page_container" data-page="9">Number of kilos of watermelon on the transportation, x <small>1</small>
Number of kilos of coconut on the transportation, x <small>2</small>
Number of kilos of apple on the transportation, x <small>3</small>
Number of kilos of orange on the transportation, x <small>4</small>
Number of kilos of banana on the transportation, x <small>5</small>
</div><span class="text_page_counter">Trang 11</span><div class="page_container" data-page="11"><b>HCMC UNIVERSITY OF TECHNOLOGY AND EDUCATION FACULTY OF MECHANICAL ENGINEERING </b>
<b>FINAL PROJECT </b>
<b>COURSE: OPTIMAL ENGINEERING </b>
<b>TOPIC: </b>
<b>OPTIMAL THE MASS OF REINFORCED CONCRETE BEAM </b>
Instructor: A/Pro Dr. f. Tran Ngoc Dam Student: Nguyen Cong Binh 18143001 Tran Do Nguyen 18143052
HCM City, 26/11/2021
</div><span class="text_page_counter">Trang 12</span><div class="page_container" data-page="12">Instructor: A/Prof. Dr. Tran Ngoc Dam Optimal Engineering
<b>I. DEFINE REAL PROBLEM Real problem description: </b>
Beam structure is widely application in construction these days. In real working condition, reinforced concrete beams load bearing including: self-weight, standard live load p = 50kN/m as the figure 1.2 below. The problem posed is to minimize the mass of the beam. The cross-section of beam is T profile with the dimension as the figure 1.1.
Given:
+ Reinforcement steel type CII, R<small>s</small>= R = 280 MPa <small>sc</small>
+ Live load, p = 50kN/m, safety factor n = 1.2 <small>p</small>
+ Length, L = 6 m
+ Weigh of beam, g, safety factor n = 1.1 <small>g</small>
+ Thickness of protective concrete layer a’ = , 25 mm
+ Mass density of inforced concrete, re γ 2,5 T/m = 0,000025 kg/mm = <small>33</small>
Figure 1.1: Cross-section of beam
Figure 1.2: FBD diagram
</div><span class="text_page_counter">Trang 13</span><div class="page_container" data-page="13">Instructor: A/Prof. Dr. Tran Ngoc Dam Optimal Engineering
Figure 1.3: Moment diagram
Maximum moment at the cross section of beam:
Conditions for beams with sufficient load capacity: M ≤ 0.8[M]
</div><span class="text_page_counter">Trang 14</span><div class="page_container" data-page="14">Instructor: A/Prof. Dr. Tran Ngoc Dam Optimal Engineering
<b>II. ANOUNCEMENT PROBLEM 1. Introduction </b>
In nowadays, reinforced concrete beams is widely use in most of the construction works: houses, buildings, companies, … Therefore, the demand for reinforced concrete beam design is very high.
With the develop of technology, beside the required of the load capacity, the engineer also need to minimize the weight of beam, it means save the material and reduce the cost.
To solve this problem, our group decided to address the T profile beam optimization problem. Structural form which is widely used in construction today.
<b>2. Method </b>
<b>The method we used is the Nonlinear Mathematical Optimization with function fmincon on Matlab application. </b>
The results satisfied the initial requirements set out. In terms of load capacity as well as optimized in mass. That saves costs and materials.
</div><span class="text_page_counter">Trang 15</span><div class="page_container" data-page="15">Instructor: A/Prof. Dr. Tran Ngoc Dam Optimal Engineering
4
<b>III. MODELING PROBLEM Variable: </b>
x<small>1</small>is the length of the beam x<small>2</small>is the wing thickness of the beam x<small>3</small>is the height of the beam x<small>4</small> is the rib width of the beam x<small>5</small>is the diameter of reinforced steel
</div><span class="text_page_counter">Trang 16</span><div class="page_container" data-page="16">Instructor: A/Prof. Dr. Tran Ngoc Dam Optimal Engineering
<b>IV. SOLVING PROBLEM </b>
Define variables to use:
</div><span class="text_page_counter">Trang 17</span><div class="page_container" data-page="17">Instructor: A/Prof. Dr. Tran Ngoc Dam Optimal Engineering
</div><span class="text_page_counter">Trang 18</span><div class="page_container" data-page="18">Instructor: A/Prof. Dr. Tran Ngoc Dam Optimal Engineering
=> The load capacity is satisfied. Check the design constraint:
The results satisfied the initial requirements set out. In terms of load capacity as well as optimized in mass. That saves costs and materials.
</div><span class="text_page_counter">Trang 19</span><div class="page_container" data-page="19">Instructor: A/Prof. Dr. Tran Ngoc Dam Optimal Engineering
</div>
