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徐州工程學(xué)院
畢業(yè)設(shè)計(jì)（論文）任務(wù)書(shū)
機(jī)電工程 學(xué)院 機(jī)械設(shè)計(jì)制造及自動(dòng)化 專業(yè)
設(shè)計(jì)（論文）題目 隨車(chē)起重機(jī)下車(chē)設(shè)計(jì)
學(xué) 生 姓 名 陸衛(wèi)杰
班 級(jí) 04機(jī)本4班
起 止 日 期 2008.2.25—2008.6.2
指 導(dǎo) 教 師 李清偉
教研室主任 李志
發(fā)任務(wù)書(shū)日期 2008 年 2 月 25 日
1.畢業(yè)設(shè)計(jì)的背景：
本課題來(lái)源于模擬生產(chǎn)實(shí)際,屬于工程應(yīng)用。起重機(jī)是當(dāng)代最為得力的起重設(shè)備之
一。隨著國(guó)民經(jīng)濟(jì)的不斷發(fā)展,多種類型的起重機(jī)廣泛的運(yùn)用于冶金、礦山、水泥、碼
頭、化工、糧食等行業(yè)的各種場(chǎng)合。同時(shí)在各種場(chǎng)合對(duì)不同的工況所使用的起重機(jī)也
不盡相同，近年來(lái)由于起重機(jī)的應(yīng)用范圍的擴(kuò)大，品種的增多以及質(zhì)量的不斷提高，
對(duì)加工設(shè)計(jì)起重機(jī)提出了更高的要求。
2.畢業(yè)設(shè)計(jì)(論文)的內(nèi)容和要求：
根據(jù)隨車(chē)起重機(jī)的結(jié)構(gòu)和特點(diǎn)，重點(diǎn)對(duì)隨車(chē)起重機(jī)下車(chē)各部分進(jìn)行了
設(shè)計(jì)和計(jì)算；回轉(zhuǎn)部分采用液壓馬達(dá)驅(qū)動(dòng)回轉(zhuǎn)支撐實(shí)現(xiàn)，回轉(zhuǎn)機(jī)構(gòu)的液壓
控制系統(tǒng)設(shè)置了雙向液壓鎖，支腿機(jī)構(gòu)通過(guò)水平液壓缸和垂直液壓缸實(shí)現(xiàn)
各支腿的收縮動(dòng)作，采用并聯(lián)控制系統(tǒng)實(shí)現(xiàn)各支腿的同時(shí)動(dòng)作。
3.主要參考文獻(xiàn)：
[1] 朱文堅(jiān)，黃平，吳昌林.機(jī)械設(shè)計(jì)[M].北京：高等教育出版社，2005.
[2]謝開(kāi)泉.前置式隨車(chē)起重運(yùn)輸汽車(chē)的總體設(shè)計(jì)[J].廣西機(jī)械，2000，(3):33-36.
[3]徐斌.QY25型隨車(chē)起重機(jī)設(shè)計(jì)[D].大連理工大學(xué)，2004.
[4] 哈爾濱建筑學(xué)院.工程起重機(jī)[M].哈爾濱：中國(guó)建筑工業(yè)出版社，1981.
[5]徐新才.機(jī)械設(shè)計(jì)手冊(cè)[M].北京：機(jī)械工業(yè)出版社，1992.
4.畢業(yè)設(shè)計(jì)(論文)進(jìn)度計(jì)劃(以周為單位)：
起 止 日 期
工 作 內(nèi) 容
備 注
第一周
第二周
第三周
第四周
第五周
第六周
第七周
第八周
第九周
第十周
第十一周
第十二周
第十三周
第十四周
第十五周
第十六周
調(diào)研、查閱相關(guān)文獻(xiàn)，收集資料。
調(diào)研、查閱相關(guān)文獻(xiàn)，收集資料。
綜合分析文獻(xiàn)資料，提出并論證下車(chē)整體設(shè)計(jì)方案
計(jì)算并確定支腿的跨距和支撐形式。
設(shè)計(jì)起重臂的回轉(zhuǎn)方式。
設(shè)計(jì)回轉(zhuǎn)臺(tái)結(jié)構(gòu)并繪制其結(jié)構(gòu)圖。
設(shè)計(jì)回轉(zhuǎn)臺(tái)結(jié)構(gòu)并繪制其結(jié)構(gòu)圖。
設(shè)計(jì)支腿結(jié)構(gòu)并繪制其結(jié)構(gòu)圖。
設(shè)計(jì)支腿結(jié)構(gòu)并繪制其結(jié)構(gòu)圖。
確定下車(chē)液壓系統(tǒng)整體結(jié)構(gòu)，繪制下車(chē)液壓系統(tǒng)原理圖。
根據(jù)下車(chē)液壓系統(tǒng)與原理圖，計(jì)算選擇液壓原件。
根據(jù)下車(chē)液壓系統(tǒng)與原理圖，計(jì)算選擇液壓原件。
繪制下車(chē)裝配圖，并根據(jù)裝配圖修改完善回轉(zhuǎn)臺(tái)和支腿的結(jié)構(gòu)圖
繪制下車(chē)裝配圖，并根據(jù)裝配圖修改完善回轉(zhuǎn)臺(tái)和支腿的結(jié)構(gòu)圖
整理圖紙資料，撰寫(xiě)畢業(yè)論文。
整理圖紙資料，撰寫(xiě)畢業(yè)論文。
教研室審查意見(jiàn)：
室主任
年 月 日
學(xué)院審查意見(jiàn)：
教學(xué)院長(zhǎng)
年 月 日
徐州工程學(xué)院
畢業(yè)設(shè)計(jì)（論文）開(kāi)題報(bào)告
課 題 名 稱： 隨車(chē)起重機(jī)下車(chē)設(shè)計(jì)
學(xué) 生 姓 名： 陸衛(wèi)杰 學(xué)號(hào)： 20040601418
指 導(dǎo) 教 師： 李清偉 職稱： 講師
所 在 學(xué) 院： 機(jī)電工程學(xué)院
專 業(yè) 名 稱： 機(jī)械設(shè)計(jì)制造及自動(dòng)化
徐州工程學(xué)院
2008 年 3月 4 日
說(shuō) 明
1．根據(jù)《徐州工程學(xué)院畢業(yè)設(shè)計(jì)(論文)管理規(guī)定》，學(xué)生必須撰寫(xiě)《畢業(yè)設(shè)計(jì)（論文）開(kāi)題報(bào)告》，由指導(dǎo)教師簽署意見(jiàn)、教研室審查，學(xué)院教學(xué)院長(zhǎng)批準(zhǔn)后實(shí)施。
2．開(kāi)題報(bào)告是畢業(yè)設(shè)計(jì)（論文）答辯委員會(huì)對(duì)學(xué)生答辯資格審查的依據(jù)材料之一。學(xué)生應(yīng)當(dāng)在畢業(yè)設(shè)計(jì)（論文）工作前期內(nèi)完成，開(kāi)題報(bào)告不合格者不得參加答辯。
3．畢業(yè)設(shè)計(jì)開(kāi)題報(bào)告各項(xiàng)內(nèi)容要實(shí)事求是，逐條認(rèn)真填寫(xiě)。其中的文字表達(dá)要明確、嚴(yán)謹(jǐn)，語(yǔ)言通順，外來(lái)語(yǔ)要同時(shí)用原文和中文表達(dá)。第一次出現(xiàn)縮寫(xiě)詞，須注出全稱。
4．本報(bào)告中，由學(xué)生本人撰寫(xiě)的對(duì)課題和研究工作的分析及描述，沒(méi)有經(jīng)過(guò)整理歸納，缺乏個(gè)人見(jiàn)解僅僅從網(wǎng)上下載材料拼湊而成的開(kāi)題報(bào)告按不合格論。
5. 課題類型填：工程設(shè)計(jì)類；理論研究類；應(yīng)用（實(shí)驗(yàn)）研究類；軟件設(shè)計(jì)類；其它。
6、課題來(lái)源填：教師科研；社會(huì)生產(chǎn)實(shí)踐；教學(xué)；其它
課題
名稱
隨車(chē)起重機(jī)上車(chē)設(shè)計(jì)
課題來(lái)源
模擬生產(chǎn)實(shí)際課題
課題類型
工程應(yīng)用
選題的背景及意義
本課題來(lái)源于模擬生產(chǎn)實(shí)際,屬于工程應(yīng)用。起重機(jī)是當(dāng)代最為得力的起重設(shè)備之一。隨著國(guó)民經(jīng)濟(jì)的不斷發(fā)展,多種類型的起重機(jī)廣泛的運(yùn)用于冶金、礦山、水泥、碼頭、化工、糧食等行業(yè)的各種場(chǎng)合。同時(shí)在各種場(chǎng)合對(duì)不同的工況所使用的起重機(jī)也不盡相同，近年來(lái)由于起重機(jī)的應(yīng)用范圍的擴(kuò)大，品種的增多以及質(zhì)量的不斷提高，對(duì)加工設(shè)計(jì)起重機(jī)提出了更高的要求。
研究?jī)?nèi)容擬解決的主要問(wèn)題
通過(guò)分析和計(jì)算確定隨車(chē)起重機(jī)下車(chē)支腿的支撐形式及其跨距，設(shè)計(jì)起重臂的回轉(zhuǎn)形式，設(shè)計(jì)支腿的結(jié)構(gòu)以及回轉(zhuǎn)部分的結(jié)構(gòu)。設(shè)計(jì)隨車(chē)起重機(jī)下車(chē)支腿水平伸縮、起重臂回轉(zhuǎn)所需的下車(chē)液壓系統(tǒng)。并且根據(jù)下車(chē)液壓系統(tǒng)需要，計(jì)算選擇合適的泵、油缸及閥等液壓元件。
研究方法技術(shù)路線
研究了隨車(chē)起重機(jī)的結(jié)構(gòu)和特點(diǎn)，重點(diǎn)對(duì)隨車(chē)起重機(jī)下車(chē)的各部分進(jìn)行了設(shè)計(jì)與計(jì)算；回轉(zhuǎn)部分采用液壓馬達(dá)驅(qū)動(dòng)回轉(zhuǎn)支承實(shí)現(xiàn)，回轉(zhuǎn)機(jī)構(gòu)的液壓控制系統(tǒng)設(shè)置了雙向液壓鎖，支腿機(jī)構(gòu)通過(guò)水平液壓缸和垂直液壓缸實(shí)現(xiàn)各支腿的收縮動(dòng)作，采用并聯(lián)控制系統(tǒng)實(shí)現(xiàn)各支腿的同時(shí)動(dòng)作。
研究的總體安排和進(jìn)度計(jì)劃
第一周：調(diào)研、查閱相關(guān)文獻(xiàn)，收集資料。
第二周；調(diào)研、查閱相關(guān)文獻(xiàn)，收集資料。
第三周：綜合分析文獻(xiàn)資料，提出并論證下車(chē)整體設(shè)計(jì)方案
第四周：計(jì)算并確定支腿的跨距和支撐形式。
第五周：設(shè)計(jì)起重臂的回轉(zhuǎn)方式。
第六周：設(shè)計(jì)回轉(zhuǎn)臺(tái)結(jié)構(gòu)并繪制其結(jié)構(gòu)圖。
第七周：設(shè)計(jì)回轉(zhuǎn)臺(tái)結(jié)構(gòu)并繪制其結(jié)構(gòu)圖。
第八周：設(shè)計(jì)支腿結(jié)構(gòu)并繪制其結(jié)構(gòu)圖。
第九周：設(shè)計(jì)支腿結(jié)構(gòu)并繪制其結(jié)構(gòu)圖。
第十周：確定下車(chē)液壓系統(tǒng)整體結(jié)構(gòu)，繪制下車(chē)液壓系統(tǒng)原理圖。
第十一周：根據(jù)下車(chē)液壓系統(tǒng)與原理圖，計(jì)算選擇液壓原件。
第十二周：根據(jù)下車(chē)液壓系統(tǒng)與原理圖，計(jì)算選擇液壓原件。
第十三周：繪制下車(chē)裝配圖，并根據(jù)裝配圖修改完善回轉(zhuǎn)臺(tái)和支腿的結(jié)構(gòu)圖
第十四周：繪制下車(chē)裝配圖，并根據(jù)裝配圖修改完善回轉(zhuǎn)臺(tái)和支腿的結(jié)構(gòu)圖
第十五周：整理圖紙資料，撰寫(xiě)畢業(yè)論文。
第十六周：整理圖紙資料，撰寫(xiě)畢業(yè)論文。
主要參考
文獻(xiàn)
湖北汽車(chē)學(xué)院.隨車(chē)起重機(jī)新機(jī)型[D].湖北：中國(guó)汽車(chē)工業(yè)出版社，2003.
謝開(kāi)泉.前置式隨車(chē)起重運(yùn)輸汽車(chē)的總體設(shè)計(jì)[J].廣西機(jī)械，2000，(3):33-36.
徐斌.QY25型隨車(chē)起重機(jī)設(shè)計(jì)[D].大連理工大學(xué)，2004.
徐新才.機(jī)械設(shè)計(jì)手冊(cè)[M].北京：機(jī)械工業(yè)出版社，1992.
朱宏濤.液壓與氣壓傳動(dòng)[M].北京：清華大學(xué)出版社，2005.
杜國(guó)森.液壓元件產(chǎn)品樣本[M].北京：機(jī)械工業(yè)出版社，2000.
顧迪民.工程起重機(jī)[M].北京：中國(guó)建筑工業(yè)出版社，1981.
Charles.Wilson.Kinematics and Dynamics of Machinery[J].New York,2000， (6):120-132.
指導(dǎo)教師
意 見(jiàn)
指導(dǎo)教師簽名：
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教研室意見(jiàn)
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徐州工程學(xué)院畢業(yè)設(shè)計(jì)
摘 要
隨著現(xiàn)代科學(xué)技術(shù)的迅速發(fā)展，起重機(jī)在現(xiàn)代化生產(chǎn)過(guò)程中應(yīng)用越來(lái)越廣。本文首先介紹了隨車(chē)起重機(jī)的結(jié)構(gòu)和特點(diǎn)，重點(diǎn)對(duì)隨車(chē)起重機(jī)下車(chē)的各部分進(jìn)行了設(shè)計(jì)；回轉(zhuǎn)機(jī)構(gòu)采用液壓馬達(dá)驅(qū)動(dòng)回轉(zhuǎn)支承實(shí)現(xiàn)，回轉(zhuǎn)機(jī)構(gòu)的液壓控制系統(tǒng)設(shè)置了緩沖閥，可以實(shí)現(xiàn)自由滑轉(zhuǎn)和平穩(wěn)微動(dòng)；支腿機(jī)構(gòu)通過(guò)水平液壓缸和垂直液壓缸實(shí)現(xiàn)各支腿的收縮動(dòng)作，采用并聯(lián)控制系統(tǒng)實(shí)現(xiàn)各支腿的同時(shí)動(dòng)作。
具體內(nèi)容主要包括：
1．支腿的選型與跨距的確定,穩(wěn)定性的校核與驗(yàn)算。
2．回轉(zhuǎn)機(jī)構(gòu)的設(shè)計(jì),支承裝置的選型與計(jì)算.
3．液壓系統(tǒng)的設(shè)計(jì)以及液壓元件的選擇。
本設(shè)計(jì)的主要特點(diǎn)是：機(jī)構(gòu)簡(jiǎn)單,節(jié)省投資，控制方便。對(duì)確定中、小隨車(chē)起重機(jī)設(shè)計(jì)具有一定的參考價(jià)值。
關(guān)鍵詞：隨車(chē)起重機(jī)；回轉(zhuǎn)機(jī)構(gòu)；支腿 ；液壓系統(tǒng)
Abstract
With the rapid development of the science and technology, the truck crane is widely used in the modernization production process.In the article, the structure of the truck crane is briefly introduced, The second part is designed:The pump is used to drive the rotation structure and the dead value is used in the hydraulic system in order to rotate steadily;The level and vertical hydraulic cylinder are used to drive the support legs.
This design main content includes:
1. The design of the type and span of the legs and the checkout of the stability;
2. The design of rotation structure and its type;
3. The design of hydraulic system and the choice of the hydraulicunits.
The advantage of the design is simple structure and operation. It can help to design truck crane.
Keywords： truck crane ; rotation fulcrum arrangement ; Leg；Hydraulic system
目 錄
1 緒論 1
1.1概論 1
1.2隨車(chē)起重機(jī)市場(chǎng)的發(fā)展水平和趨勢(shì) 1
1.3隨車(chē)起重機(jī)的數(shù)字化簡(jiǎn)介 2
2 隨車(chē)起重機(jī)的技術(shù)參數(shù) 4
2.1主要性能參數(shù) 4
2.2參數(shù)確定 5
3 支腿型式選擇與計(jì)算 6
3.1支腿型式分類及選擇 6
3.2 支腿跨距確定 6
3.3支腿受力分析 7
3.4活動(dòng)支腿危險(xiǎn)截面計(jì)算 8
4 底盤(pán)類型與選擇 9
4.1汽車(chē)起重機(jī)底盤(pán)分類 9
4.2底盤(pán)選擇和承載力計(jì)算 10
4.2.1底盤(pán)選擇 10
4.2.2起重車(chē)軸載質(zhì)量分配 10
5 起重車(chē)穩(wěn)定性計(jì)算 13
5.1起重車(chē)最不利工況 13
5.2起運(yùn)車(chē)最不利工況位置的整車(chē)質(zhì)量 14
5.3動(dòng)穩(wěn)定性校核計(jì)算 14
5.4靜穩(wěn)定性校核計(jì)算 17
6 回轉(zhuǎn)機(jī)構(gòu)設(shè)計(jì) 19
6.1工況及載荷 19
6. 2 回轉(zhuǎn)支承選型及強(qiáng)度驗(yàn)算 19
6.2.1回轉(zhuǎn)支承選型 19
6.2.2回轉(zhuǎn)支撐強(qiáng)度驗(yàn)算 21
6.2.3回轉(zhuǎn)支撐聯(lián)接螺栓計(jì)算 21
6.3回轉(zhuǎn)機(jī)構(gòu)的設(shè)計(jì) 22
6.3.1回轉(zhuǎn)機(jī)構(gòu)的類型 22
6.3.2回轉(zhuǎn)機(jī)構(gòu)的布置型式選擇 22
6.3.3回轉(zhuǎn)機(jī)構(gòu)驅(qū)動(dòng)裝置設(shè)計(jì) 22
7 液壓系統(tǒng)原理設(shè)計(jì)及液壓原件選擇 28
7. 1液壓系統(tǒng)型式 28
7.1.1開(kāi)式和閉式系統(tǒng) 28
7.1.2單泵和多泵系統(tǒng) 28
7. 2液壓系統(tǒng)的控制 29
7.2.1定量節(jié)流控制系統(tǒng) 29
7.2.2變量系統(tǒng) 30
7.3下車(chē)液壓系統(tǒng)設(shè)計(jì) 30
7.4液壓缸的選擇 33
7.4.1缸體與缸蓋連接結(jié)構(gòu) 33
7.4.2活塞與活塞桿連接結(jié)構(gòu) 33
7.4.3活塞桿頭部結(jié)構(gòu)： 33
7.4.4導(dǎo)向套結(jié)構(gòu) 33
7.4.5密封與防塵結(jié)構(gòu) 33
7.4.6緩沖結(jié)構(gòu) 33
7.4.7垂直液壓缸的選擇 34
7.4.8水平液壓缸的選擇 35
7.4.9液壓缸主要零部件材料及技術(shù)要求 36
7.5其他液壓元件的選擇 36
7.6液壓系統(tǒng)性能驗(yàn)算 37
結(jié)論 40
致謝 41
參考文獻(xiàn) 42
附錄 43
附錄一 43
英文原文 43
中文翻譯 59
4
徐州工程學(xué)院畢業(yè)設(shè)計(jì)
附錄
附錄一
英文原文
Hydraulic Conductors and Fittings
Eric Sandgren *, T.M. Cameron
to account for uncertainty aMechanical Engineering, Virginia Commonwealth University, 601 West Main Street, P .O. Box843015, Richmond, VA 23284-3015, USA Received 19 October 2001;accepted 5 June 2002
1.1 INTRODUCTION
In a hydraulic system, the fluid flows through a distribution system consisting of conductors and fittings, which carry the fluid from the reservoir through operating components and back to the reservoir. Since power is transmitted throughout the system by means of these conducting lines (conductors and fittings used to connect system components), it follows that they must be properly designed in order for the total system to function properly.
Hydraulic systems use primarily four types of conductors:
1. Steel pipes
2. Steel tubing
3. Plastic tubing
4. Flexible hoses
The choice of which type of conductor to use depends primarily on the sys tem’s operating pressures and flow rates. In addition, the selection depends on en vironmental conditions such as the type of fluid, operating temperatures, vibration, and whether or not there is relative motion between connected components.
Conducting lines are available for handling work pressures up to 10,000 Pa or greater. In general, steel tubing provides greater plumbing flexibility and neater appearance and requires fewer fittings than piping. However, piping is less expen sive than steel tubing. Plastic tubing is finding increased industrial usage because it is not costly and circuits can be very easily hooked up due to its flexibility. Flexible hoses are used primarily to connect components that experience relative motion. They are made from a large number of elastomeric (rubberlike) compounds and are capable of handling pressures exceeding 10,000 Pa.
Stainless steel conductors and fittings are used if extremely corrosive envi ronments are expected. However, they are very expensive and should be used only if necessary. Copper conductors should not be used in hydraulic systems because the copper promotes the oxidation of petroleum oils. Zinc, magnesium, and cad mium conductors should not be used either because they are rapidly corroded by water-glycol fluids. Galvanized conductors should also be avoided because the gal vanized surface has a tendency to flake off into the hydraulic fluid. When using steel pipe or steel tubing, hydraulic fittings should be made of steel except for in let, return, and drain lines, where malleable iron may be used.
Conductors and fittings must be designed with human safety in mind. They must be strong enough not only to withstand the steady-state system pressures but also the instantaneous pressure spikes resulting from hydraulic shock. Whenever control valves are closed suddenly, this stops the fluid, which possesses large amounts of kinetic energy. This produces shock waves whose pressure levels can be two or four times the steady-state system design values. Pressure spikes can also be caused by sudden stopping or starting of heavy loads. These high-pressure pulses are taken into account by the application of an appropriate factor of safety.
1.2 CONDUCTOR SIZING FOR FLOW-RATE REQUIREMENTS
A conductor must have a large enough cross-sectional area to handle the flow-rate requirements without producing excessive fluid velocity. Whenever we speak of fluid velocity in a conductor such as a pipe, we are referring to the average veloc ity. The concept of average velocity is important since we know that the velocity profile is not constant. As shown in Chapter 5 the velocity is zero at the pipe wall and reaches a maximum value at the centerline of the pipe. The average velocity is defined as the volume flow rate divided by the pipe cross-sectional area:
In other words, the average velocity is that velocity which when multiplied by the pipe area equals the volume flow rate. It is also understood that the term diameter by itself always means inside diameter and that the pipe area is that area that corresponds to the pipe inside diameter. The maximum recommended veloc ity for pump suction lines is 4 ft/s (1.2 m/s) in order to prevent excessively low suc tion pressures and resulting pump cavitation. The maximum recommended veloc ity for pressure lines is 20 ft/s (6.1 m/s) in order to prevent turbulent flow and the corresponding excessive head losses and elevated fluid temperatures. Note that these maximum recommended values are average velocities.
EXAMPLE 1-1
A pipe handles a flow rate of 30 gprn. Find the minimum inside diameter that will pro vide an average fluid velocity not to exceed 20 ft/s.
Solution Rewrite Eq. (3-26), solving for D:
EXAMPLE 1-2
A pipe handles a flow rate of 0.002. Find the minimum inside diameter that will provide an average fluid velocity not to exceed 6.1 m/s.
Solution Per Eq. 3-35) we solve for the minimum required pipe flow area:
The minimum inside diameter can now be found, becauseSolving for D we have
1.3 PRESSURE RATING OF CONDUCTORS
Tensile Stress
A conductor must be strong enough to prevent bursting due to excessive tensile stress (called hoop stress) in the wall of the conductor under operating fluid pres sure. The magnitude of this tensile stress, which must be sustained by the conduc tor material, can be determined by referring to Figure 4-1. In Fig. 4-1(a), we see the fluid pressure ( P ) acting normal to the inside surface of a circular pipe having a length (L). The pipe has outside diameter D0 , inside diameter Di, and wall thick ness t. Because the fluid pressure acts normal to the pipe’s inside surface, a pres sure force is created that attempts to separate one half of the pipe from the other half.
Figure 4-1(b) shows this pressure forcepushing downward on the bottom half of the pipe. To prevent the bottom half of the pipe from separating from the upper half, the upper half pulls upward with a total tensile force F. One-half of this force ( or F/2 ) acts on the cross-sectional area (tL) of each wall, as shown.
Since the pressure force and the total tensile force must be equal in magni tude, we have
where A is the projected area of the lower half-pipe curved-wall surface onto a hor izontal plane. Thus, A equals the area of a rectangle of width Di and length L, as shown in Figure 4-1(b). Hence,
The tensile stress in the pipe material equals the tensile force divided by the wall cross-sectional area withstanding the tensile force. This stress is called a tensile stress because the force (F) is a tensile force (pulls on the area over which it acts).
Substituting variables we have
where = Greek symbol (sigma) = tensile stress.
As can be seen from Eq. (4-2), the tensile stress increases as the fluid pres sure increases and also as the pipe inside diameter increases. In addition, as ex pected, the tensile stress increases as the wall thickness decreases, and the length of the pipe does not have any effect on the tensile stress.
Burst Pressure and Working Pressure
The burst pressure (BP) is the fluid pressure that will cause the pipe to burst. This happens when the tensile stress () equals the tensile strength ( S ) of the pipe material. The tensile strength of a material equals the tensile stress at which the material ruptures. Notice that an axial scribe line is shown on the pipe outer wall surface in Fig. 4-1(a). This scribe line shows where the pipe would start to crack and thus rupture if the tensile stress reached the tensile strength of the pipe mate rial. This rupture will occur when the fluid pressure (P) reaches BR Thus, from Eq. (4-2) the burst pressure is
The working pressure (WP) is the maximum safe operating fluid pressure and is defined as the burst pressure divided by an appropriate factor of safety (FS).
A factor of safety ensures the integrity of the conductor by determining the maximum safe level of working pressure. Industry standards recommend the fol lowing factors of safety based on corresponding operating pressures:
FS = 8 for pressures from 0 to 1000 Pa
FS = 6 for pressures from 1000 to 2500 Pa
FS = 4 for pressures above 2500 Pa
For systems where severe pressure shocks are expected, a factor of safety of 10 is recommended.
Conductor Sizing Based on Flow Rate and Pressure Considerations
The proper size conductor for a given application is determined as follows:
1. Calculate the minimum acceptable inside diameter (Di) based on flow-rate requirements.
2. Select a standard-size conductor with an inside diameter equal to or greater than the value calculated based on flow-rate requirements.
3. Determine the wall thickness (t) of the selected standard-size conductor using the following equation:
4. Based on the conductor material and system operating pressure (P), de termine the tensile strength (S) and factor of safety (FS).
5. Calculate the burst pressure (BP) and working pressure (WP) using Eqs. (1.3) and (1.4).
6. If the calculated working pressure is greater than the operating fluid pres sure, the selected conductor is acceptable. If not, a different standard-size conduc tor with a greater wall thickness must be selected and evaluated. An acceptable conductor is one that meets the flow-rate requirement and has a working pressure equal to or greater than the system operating fluid pressure.
The nomenclature and units for the parameters of Eqs. (1.2), (1.3), (1.4), and （1.5) are as follows:
BP = burst pressure (Pa, MPa)
Di = conductor inside diameter (in., m)
D0 = conductor outside diameter (in., m)
FS = factor of safety (dimensionless)
P = system operating fluid pressure (Pa, MPa)
S = tensile strength of conductor material (Pa, MPa)
t = conductor wall thickness (in., m)
WP = working pressure (Pa, MPa)
= tensile stress (Pa, MPa)
EXAMPLE 1-3
A steel tubing has a 1.250-in, outside diameter and a 1.060-in, inside diameter. It is made of SAE 1010 dead soft cold-drawn steel having a tensile strength of 55.000 Pa. What would he the safe working pressure for this tube assuming a factor of safety of 8?
Solution First, calculate the wall thickness of the tubing:
Next, find the burst pressure for the tubing:
Finally, calculate the working pressure at which the tube can safely operate:
Use of Thick-Walled Conductors
Equations (1.2) and (1.3) apply only for thin-walled cylinders where the ratio Di / t is greater than 10. This is because in thick-walled cylinders (Di / t 10), the tensile stress is not uniform across the wall thickness of the tube as assumed in the de rivation of Eq. (1.2). For thick-walled cylinders Eq. (1.6) must be used to take into account the nonuniform tensile stress,
式（1.6）
Thus, if a conductor being considered is not a thin-walled cylinder, the calcu lations must be done using Eq. (1.6). As would be expected, the use of Eq. (1.6) results in a smaller value of burst pressure and hence a smaller value of working pressure than that obtained from Eq. (1.3). This can be seen by comparing the two equations and noting the addition of the 1.2t term in the denominator of Eq. (1.6).
Note that the steel tubing of Example 1.3 is a thin-walled cylinder because = 1.060 in./0.095 in. =11.2 > 10. Thus, the steel tubing of Example 1.3 can operate safely with a working pressure of 1230 Pa as calculated using a factor of safety of 8. Using Eq. (1.6) for this same tubing and factor of safety yields
As expected the working pressure of 1110 Pa calcu1ated using Eq. (1.6) is less than the 1230 Pa value calculated in Example 4-3 using Eq. (1.3).
1.4 STEEL PIPES
Size Designation
Pipes and pipe fittings are classified by nominal size and schedule number, as il lustrated in Fig. 4-2. The schedules provided are 40, 80, and 160, which are the ones most commonly used for hydraulic systems. Note that for each nominal size the outside diameter does not change. To increase wall thickness the next larger sched ule number is used. Also observe that the nominal size is neither the outside nor the inside diameter. Instead, the nominal pipe size indicates the thread size for the mating connections. The pipe sizes given in Fig. 4-2 are in units of inches.
Figure 4-3 shows the relative size of the cross sections for schedules 40, 80, and 160 pipes. As shown for a given nominal pipe size, the wall thickness increases as the schedule number increases.
Thread Design
Pipes have tapered threads, as opposed to tube and hose fittings, which have straight threads. As shown in Fig. 4-4, the joints are sealed by an interference fit between the male and female threads as the pipes are tightened. This causes one of the major problems in using pipe. When a joint is taken apart, the pipe must be tightened farther to reseal. This frequently requires replacing some of the pipe with slightly longer sections, although this problem has been overcome somewhat by using Teflon tape to reseal the pipe joins. Hydraulic pipe threads are the dry-seal type. They dif fer from standard pipe threads because they engage the roots and crests before the flanks. In this way, spiral clearance is avoided.
Pipes can have only male threads, and they cannot be bent around obstacles. There are, of course, various required types of fittings to make end connections and change direction, as shown in Fig. 4-5. The large number of pipe fittings re quired in a hydraulic circuit presents many opportunities for leakage, especially as pressure increases. Threaded-type fittings are used in sizes up to in. in diameter. Where larger pipes are required, flanges are welded to the pipe, as il lustrated in Fig. 4-6. As shown, flat gaskets or 0-rings are used to seal the flanged fittings.
1.5 STEEL TUBING
Size Designation
Seamless steel tubing is the most widely used type of conductor for hydraulic systems as it provides significant advantages over pipes. The tubing can be bent into almost any shape, thereby reducing the number of required fittings. Tubing is easier to handle and can be reused without any sealing problems. For low-volume systems, tubing can handle the pressure and flow requirements with less bulk and weight. However, tubing and its fittings are more expensive. A tubing size desig nation always refers to the outside diameter. Available sizes include-in. incre ments from -in. outside diameter up to -in. outside diameter. For sizes from-in. to 1 in. the increments are -in. For sizes beyond 1 in., the increments are-in. Figure 4-7 shows some of the more common tube sizes (in units of inches) used in fluid power systems.
SAE 1010 dead soft cold-drawn steel is the most widely used material for tub ing. This material is easy to work with and has a tensile strength of 55,000 Pa. If greater strength is required, the tube can be made of AISI 4130 steel, which has a tensile strength of 75,000 Pa.
Tube Fittings
Tubing is not sealed by threads but by special kinds of fittings, as illustrated in Fig. 4-8. Some of these fittings are known as compression fittings. They seal by metal- to-metal contact and may be either the flared or flareless type. Other fittings may use 0-rings for sealing purposes. The 370 flare fitting is the most widely used fit ting for tubing that can be flared. The fittings shown in Fig. 4-8(a) and (b) seal by squeezing the flared end of the tube against a seal as the compression nut is tight ened. A sleeve inside the nut supports the tube to dampen vibrations. The stan dard 450 flare fitting is used for very high pressures. It is also made in an inverted design with male threads on the compression nut. When the hydraulic component has straight thread ports, straight thread 0-ring fittings can be used, as shown in Fig. 4-8(c). This type is ideal for high pressures since the seal gets tighter as pres sure increases.
Two assembly precautions when using flared fittings are:
1. The compression nut needs to be placed on the tubing before flaring the tube.
2. These fittings should not be over-tightened. Too great a torque damages the sealing surface and thus may cause leaks.
For tubing that can’t be flared, or if flaring is to be avoided, ferrule, 0-ring, or sleeve compression fittings can be used [see Fig. 4-8(d), (e), (f)]. The O-ring fit ting permits considerable variations in the length and squareness of the tube cut.
Figure 4-9 shows a Swagelok tube fitting, which can contain any pressure up to the bursting strength of the tubing without leakage. This type of fitting can be repeatedly taken apart and reassembled and remain perfectly sealed against leak age. Assembly and disassembly can be done easily and quickly using standard tools. In the illustration, note that the tubing is supported ahead of the ferrules by the fitting body. Two ferrules grasp tightly around the tube with no damage to the tube wall. There is virtually no constriction of the inner wall, ensuring minimum flow restriction. Exhaustive tests have proven that the tubing will yield before a Swagelok tube fitting will leak. The secret of the Swagelok fitting is that all the action in the fitting moves along the tube axially instead of with a rotary motion. Since no torque is transmitted from the fitting to the tubing, there is no initial strain that might weaken the tubing. The double ferrule interaction overcomes variation in tube ma terials, wall thickness, and hardness.
In Fig. 4-10 we see the 450 flare fitting. The flared-type fitting was developed before the compression type and for some time was the only type that could suc cessfully seal against high pressures.
Four additional types of tube fittings are depicted in Fig. 4-11: (a) union el bow, (b) union tee, (c) union, and (d) 45° male elbow. With fittings such as these, it is easy to install steel tubing as well as remove it for maintenance purposes.
EXAMPLE 1-4
Select the proper size steel tube for a flow rate of 30 gpm and an operating pressure of 1000 Pa. The maximum recommended velocity is 20 ft/s, and the tube material is SAE 1010 dead soft cold-drawn steel having a tensile strength of 55,000 Pa,
Solution The minimum inside diameter based on the fluid velocity limitation of 20 ft/s is the same as that found in Example 4-1 (0.782 in.).
From Fig. 4-7, the two smallest acceptable tube sizes based on flow-rate re quirements are
1-in. od , 0.049-in, wall thickness, 0.902-in. ID
1-in. od , 0.065-in, wall thickness, 0,870-in. ID
Let’s check the 0.049-in, wall thickness tube first since it provides the smaller velocity:
This working pressure is not adequate, so let’s next examine the 0.065-in, wall thickness tube:
This result is acceptable, because the working pressure of 1030 Pa is greater than the system-operating pressure of 1000 Pa and10.
1.6 PLASTIC TUBING
Plastic tubing has gained rapid acceptance in the fluid power industry because it is rel atively inexpensive. Also, it can be readily bent to fit around obstacles, it is easy to handle, and it can be stored on reels. Another advantage is that it can be color-coded to represent different parts of the circuit because it is available in many colors. Since plastic tubing is flexible, it is less susceptible to vibration damage than steel tubing.
Fittings for plastic tubing are almost identical to those designed for steel tub ing. In fact many steel tube fittings can be used on plastic tubing, as is the case for the Swagelok fitting of Fig. 4-9. In another design, a sleeve is placed inside the tub ing to give it resistance to crushing at the area of compression, as illustrated in Fig. 4-12. In this particular design (called the Poly-Flo Flareless Tube Fitting), the sleeve is fabricated onto the fitting so it cannot be accidentally left off.
Plastic tubing is used universally in pneumatic systems because air pressures are low, normally less than 100 Pa. Of cour