<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">WJET</journal-id><journal-title-group><journal-title>World Journal of Engineering and Technology</journal-title></journal-title-group><issn pub-type="epub">2331-4222</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/wjet.2017.53B015</article-id><article-id pub-id-type="publisher-id">WJET-78718</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Chemistry&amp;Materials Science</subject><subject> Engineering</subject></subj-group></article-categories><title-group><article-title>
 
 
  Effects of Impact Loads on Mechanical Performance for Truss Structure
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Zongwei</surname><given-names>Zheng</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Yin</surname><given-names>Bai</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>School of Transportation Science and Engineering, Beihang University, Beijing, China</addr-line></aff><pub-date pub-type="epub"><day>11</day><month>08</month><year>2017</year></pub-date><volume>05</volume><issue>03</issue><fpage>135</fpage><lpage>140</lpage><history><date date-type="received"><day>August</day>	<month>15,</month>	<year>2017</year></date><date date-type="rev-recd"><day>Accepted:</day>	<month>August</month>	<year>22,</year>	</date><date date-type="accepted"><day>August</day>	<month>25,</month>	<year>2017</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  
    In this paper, ANSYS/LS-DYNA dynamic analysis software was used to establish finite element truss models with six trusses. The models with impact loads aimed to simulate the scenarios that structures were crashed by heavy truck. By changing the crashed position, the impact load intensity and structure height-span ratio, the models could give out the structural performance, including the stress, strain and other impacts in different scenarios. Besides, considering the component failure, this paper analyzed the possibility of structural progressive collapse. Results for the load cases from below indicate that it will be more destructive if impact load is arranged on 3rd side pillar and progressive collapse will occur if pillar fails after crashed. 
  
 
</p></abstract><kwd-group><kwd>Truss Structure</kwd><kwd> Impact Loads</kwd><kwd> Progressive Collapse</kwd><kwd> Height-Span Ratio</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Truss structure, which is one of the most widely used architectural structures, is generally used in gymnasiums, museums, theaters and terminals, and other public buildings [<xref ref-type="bibr" rid="scirp.78718-ref1">1</xref>]. Numbers of links in truss structure result in complex distributions of natural vibration, which increase the difficulty of analyzing [<xref ref-type="bibr" rid="scirp.78718-ref2">2</xref>]. With the increasing number of automobiles, the possibility of vehicle impact rises [<xref ref-type="bibr" rid="scirp.78718-ref3">3</xref>]. Xingguo Wang and Youpo Su studied the performance of reinforced concrete frame under impact [<xref ref-type="bibr" rid="scirp.78718-ref4">4</xref>]. Yan Xiao and Lin Chen did some researches on truss protection effect under the vehicle impact [<xref ref-type="bibr" rid="scirp.78718-ref5">5</xref>]. Hui Qu and Jingsi Huo verified the truss performance discipline by experiments on dynamic plastic loading of frames [<xref ref-type="bibr" rid="scirp.78718-ref6">6</xref>]. Hyungoo Kang and Jinkoo Kim analyzed the possibility of progressive collapse of steel moment frames subjected to vehicle impact [<xref ref-type="bibr" rid="scirp.78718-ref7">7</xref>]. Currently, most of the researches about vehicle impact mainly focus on bridges. Researches about the performance of truss under impact are limited but meaningful. This paper analyzed the effect of impact loads on mechanical performance for truss structure by finite element truss models built with ANSYS/LS-DYNA dynamic analysis software.</p></sec><sec id="s2"><title>2. Truss Structure Model</title><p>The models were established by ANSYS/LS-DYNA dynamic analysis software. The parameter of model is shown in following <xref ref-type="table" rid="table1">Table 1</xref>, <xref ref-type="table" rid="table2">Table 2</xref> and <xref ref-type="fig" rid="fig1">Figure 1</xref>.</p></sec><sec id="s3"><title>3. Loads Position Effects Exploration</title><p>Assuming the truck density is 148 kg/m<sup>3</sup> (weight is 8 t), then the impact load intensity is 8 &#215; 104 kg∙m/s (8 t &#215; 10 m/s). Considering the symmetry of the structure, <xref ref-type="table" rid="table3">Table 3</xref> and <xref ref-type="fig" rid="fig2">Figure 2</xref> show the performance of structure under impact loads on four positons.</p><p>The results indicate that loads on the 3rd side pillar will result in maximum stress in the structure, which is most destructive.</p></sec><sec id="s4"><title>4. Bearable Maximum Impact Load Exploration</title><p>Through assuming different density of impactors and constant size and velocity, different impact loads could be arranged on truss. <xref ref-type="table" rid="table4">Table 4</xref> shows the performance of structure under different intensity of impact loads and <xref ref-type="fig" rid="fig3">Figure 3</xref> shows the</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Parameters of basic truss model</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Element</th><th align="center" valign="middle"  colspan="3"  >Truss Structure</th><th align="center" valign="middle" >Truck</th></tr></thead><tr><td align="center" valign="middle" >Unit</td><td align="center" valign="middle" >Link160</td><td align="center" valign="middle" >Beam161</td><td align="center" valign="middle" >Shell163</td><td align="center" valign="middle" >Solid164</td></tr><tr><td align="center" valign="middle" >Size</td><td align="center" valign="middle" >diameter: 0.048 m span: 28 m truss number: 6</td><td align="center" valign="middle" >Inner diameter: 0.20 m outer diameter: 0.14 m height: 9 m</td><td align="center" valign="middle" >thickness: 0.03 m</td><td align="center" valign="middle" >length: 6 m width: 3 m height: 2.5 m velocity: 10 m/s</td></tr></tbody></table></table-wrap><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Parameters of structural material</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Density</th><th align="center" valign="middle" >EX</th><th align="center" valign="middle" >Failure strain</th><th align="center" valign="middle" >Yield stress</th><th align="center" valign="middle" >NUXY</th><th align="center" valign="middle" >Tangent module</th></tr></thead><tr><td align="center" valign="middle" >7850 kg/m<sup>3</sup></td><td align="center" valign="middle" >2.06 &#215; 10<sup>11</sup></td><td align="center" valign="middle" >5%</td><td align="center" valign="middle" >3.45 &#215; 10<sup>8</sup> Pa</td><td align="center" valign="middle" >0.3</td><td align="center" valign="middle" >6.1 &#215; 10<sup>9</sup></td></tr></tbody></table></table-wrap><fig-group id="fig1"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> Truss structure model and truck model.</title></caption><fig id ="fig1_1"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/78718x2.png"/></fig><fig id ="fig1_2"><label></label><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/78718x3.png"/></fig></fig-group><p>performance of truss under No. 7 load.</p><p><xref ref-type="table" rid="table4">Table 4</xref> and <xref ref-type="fig" rid="fig3">Figure 3</xref> indicate that the bearable maximum impact load intensity truss is about 1.8 &#215; 10<sup>5</sup> kg∙m/s (18 t &#215; 10 m/s). With 2 &#215; 10<sup>5</sup> kg∙m/s (20 t &#215; 10 m/s) loads, the maximum stress in structure will be yield stress (3.45 &#215; 10<sup>8</sup> Pa) and the relative deformation in some components will exceed 5%, which could result in structure failure.</p></sec><sec id="s5"><title>5. Height-Span Ratio Effects Exploration</title><p>8 &#215; 10<sup>4</sup> kg∙m/s (8 t &#215; 10 m/s) impact load was arranged on 3rd side pillar in structures with different height-span ratio, and structural performances show in <xref ref-type="table" rid="table5">Table 5</xref>. The relationship between stress and height/span ratio is displayed in <xref ref-type="fig" rid="fig4">Figure 4</xref>.</p><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> Structure performance plots under impact load on different positions</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/78718x4.png"/></fig><table-wrap id="table3" ><label><xref ref-type="table" rid="table3">Table 3</xref></label><caption><title> Different load positions analysis</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >No.</th><th align="center" valign="middle" >Load position</th><th align="center" valign="middle" >Max-stress</th><th align="center" valign="middle" >Max-prin strain</th><th align="center" valign="middle" >Displacement</th></tr></thead><tr><td align="center" valign="middle" >1</td><td align="center" valign="middle" >Front-1st</td><td align="center" valign="middle" >4.14 &#215; 10<sup>7</sup> Pa</td><td align="center" valign="middle" >3.38 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3414 m</td></tr><tr><td align="center" valign="middle" >2</td><td align="center" valign="middle" >Side-1st</td><td align="center" valign="middle" >4.73 &#215; 10<sup>7</sup> Pa</td><td align="center" valign="middle" >3.22 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3302 m</td></tr><tr><td align="center" valign="middle" >3</td><td align="center" valign="middle" >Side-2nd</td><td align="center" valign="middle" >5.15 &#215; 10<sup>7</sup> Pa</td><td align="center" valign="middle" >3.05 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3267 m</td></tr><tr><td align="center" valign="middle" >4</td><td align="center" valign="middle" >Side-3rd</td><td align="center" valign="middle" >6.68 &#215; 10<sup>7</sup> Pa</td><td align="center" valign="middle" >2.50 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3258 m</td></tr></tbody></table></table-wrap><table-wrap id="table4" ><label><xref ref-type="table" rid="table4">Table 4</xref></label><caption><title> Impact loads intensity analysis</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >No.</th><th align="center" valign="middle" >Load Intensity</th><th align="center" valign="middle" >Max Stress</th><th align="center" valign="middle" >Max-prin Strain</th><th align="center" valign="middle" >Displacement</th><th align="center" valign="middle" >Notes</th></tr></thead><tr><td align="center" valign="middle" >1</td><td align="center" valign="middle" >8 t &#215; 10 m/s</td><td align="center" valign="middle" >4.14 &#215; 10<sup>7</sup> Pa</td><td align="center" valign="middle" >3.38 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3414 m</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >2</td><td align="center" valign="middle" >10 t &#215; 10 m/s</td><td align="center" valign="middle" >5.73 &#215; 10<sup>7</sup> Pa</td><td align="center" valign="middle" >3.92 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3302 m</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >3</td><td align="center" valign="middle" >12 t &#215; 10 m/s</td><td align="center" valign="middle" >7.14 &#215; 10<sup>7</sup> Pa</td><td align="center" valign="middle" >4.45 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3267 m</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >4</td><td align="center" valign="middle" >14 t &#215; 10 m/s</td><td align="center" valign="middle" >8.67 &#215; 10<sup>7</sup> Pa</td><td align="center" valign="middle" >5.51 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3258 m</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >5</td><td align="center" valign="middle" >16 t &#215; 10 m/s</td><td align="center" valign="middle" >1.043 &#215; 10<sup>8</sup> Pa</td><td align="center" valign="middle" >6.77 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.5914 m</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >6</td><td align="center" valign="middle" >18 t &#215; 10 m/s</td><td align="center" valign="middle" >1.246 &#215; 10<sup>8</sup> Pa</td><td align="center" valign="middle" >8.08 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.6511 m</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >7</td><td align="center" valign="middle" >20 t &#215; 10 m/s</td><td align="center" valign="middle" >4.349 &#215; 10<sup>8</sup> Pa</td><td align="center" valign="middle" >5.94 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >1.1321 m</td><td align="center" valign="middle" >Fail</td></tr></tbody></table></table-wrap><fig id="fig3"  position="float"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title> Structure performance plots under No. 7 load</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/78718x5.png"/></fig><fig id="fig4"  position="float"><label><xref ref-type="fig" rid="fig4">Figure 4</xref></label><caption><title> Plot of stress and height/span ratio</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/78718x6.png"/></fig><table-wrap id="table5" ><label><xref ref-type="table" rid="table5">Table 5</xref></label><caption><title> Height-span ratio impact analysis</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >No.</th><th align="center" valign="middle" >Height-span ratio</th><th align="center" valign="middle" >Max-stress</th><th align="center" valign="middle" >Max-prin strain</th><th align="center" valign="middle" >Displacement</th></tr></thead><tr><td align="center" valign="middle" >1</td><td align="center" valign="middle" >0.3214</td><td align="center" valign="middle" >4.14 &#215; 10<sup>7</sup> Pa</td><td align="center" valign="middle" >3.38 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3414 m</td></tr><tr><td align="center" valign="middle" >2</td><td align="center" valign="middle" >0.3571</td><td align="center" valign="middle" >6.02 &#215; 10<sup>7</sup> Pa</td><td align="center" valign="middle" >2.07 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3623 m</td></tr><tr><td align="center" valign="middle" >3</td><td align="center" valign="middle" >0.3929</td><td align="center" valign="middle" >7.25 &#215; 10<sup>7</sup> Pa</td><td align="center" valign="middle" >2.40 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3645 m</td></tr><tr><td align="center" valign="middle" >4</td><td align="center" valign="middle" >0.4286</td><td align="center" valign="middle" >8.40 &#215; 10<sup>7</sup> Pa</td><td align="center" valign="middle" >2.20 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3551 m</td></tr><tr><td align="center" valign="middle" >5</td><td align="center" valign="middle" >0.4643</td><td align="center" valign="middle" >8.57 &#215; 10<sup>7</sup> Pa</td><td align="center" valign="middle" >3.51 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3498 m</td></tr><tr><td align="center" valign="middle" >6</td><td align="center" valign="middle" >0.5000</td><td align="center" valign="middle" >9.08 &#215; 10<sup>7</sup> Pa</td><td align="center" valign="middle" >3.30 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3492 m</td></tr><tr><td align="center" valign="middle" >7</td><td align="center" valign="middle" >0.5357</td><td align="center" valign="middle" >9.41 &#215; 10<sup>7</sup> Pa</td><td align="center" valign="middle" >3.09 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3497 m</td></tr><tr><td align="center" valign="middle" >8</td><td align="center" valign="middle" >0.5714</td><td align="center" valign="middle" >9.65 &#215; 10<sup>7</sup> Pa</td><td align="center" valign="middle" >2.75 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3501 m</td></tr><tr><td align="center" valign="middle" >9</td><td align="center" valign="middle" >0.6071</td><td align="center" valign="middle" >9.88 &#215; 10<sup>7</sup> Pa</td><td align="center" valign="middle" >3.48 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3578 m</td></tr><tr><td align="center" valign="middle" >10</td><td align="center" valign="middle" >0.6429</td><td align="center" valign="middle" >9.51 &#215; 10<sup>7</sup> Pa</td><td align="center" valign="middle" >2.62 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3521 m</td></tr><tr><td align="center" valign="middle" >11</td><td align="center" valign="middle" >0.6786</td><td align="center" valign="middle" >9.76 &#215; 10<sup>7</sup> Pa</td><td align="center" valign="middle" >2.67 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3499 m</td></tr><tr><td align="center" valign="middle" >12</td><td align="center" valign="middle" >0.7143</td><td align="center" valign="middle" >1.01 &#215; 10<sup>8</sup> Pa</td><td align="center" valign="middle" >2.79 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3541 m</td></tr><tr><td align="center" valign="middle" >13</td><td align="center" valign="middle" >0.7500</td><td align="center" valign="middle" >1.039 &#215; 10<sup>8</sup> Pa</td><td align="center" valign="middle" >3.82 &#215; 10<sup>−4</sup></td><td align="center" valign="middle" >0.3614 m</td></tr></tbody></table></table-wrap></sec><sec id="s6"><title>6. The Possibility of Progressive Collapse Analysis</title><p>The axial load in the 3rd side pillar was about 20 kN. For analyzing the possibility of progressive collapse, the failure part (3rd pillar) was removed and the inverse axial load was arranged on the same position, which was demonstrated in <xref ref-type="fig" rid="fig5">Figure 5</xref>. Besides the slack load, showed in <xref ref-type="table" rid="table6">Table 6</xref> was arranged on the truss.</p><p>As it was showed in <xref ref-type="fig" rid="fig6">Figure 6</xref>, components will progressively fail and truss will collapse finally if the 3rd side pillar fails due to impact.</p><fig id="fig5"  position="float"><label><xref ref-type="fig" rid="fig5">Figure 5</xref></label><caption><title> Inverse axial load on failed pillar position</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/78718x7.png"/></fig><fig id="fig6"  position="float"><label><xref ref-type="fig" rid="fig6">Figure 6</xref></label><caption><title> Results of progressive collapse analysis</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/78718x8.png"/></fig><table-wrap id="table6" ><label><xref ref-type="table" rid="table6">Table 6</xref></label><caption><title> Time groups and loads groups</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Group</th><th align="center" valign="middle" >1</th><th align="center" valign="middle" >2</th><th align="center" valign="middle" >3</th></tr></thead><tr><td align="center" valign="middle" >T</td><td align="center" valign="middle" >0 s</td><td align="center" valign="middle" >1 s</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >Q</td><td align="center" valign="middle" >−20 kN</td><td align="center" valign="middle" >−20 kN</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >F</td><td align="center" valign="middle" >1000 kN</td><td align="center" valign="middle" >1000 kN</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >T1</td><td align="center" valign="middle" >0 s</td><td align="center" valign="middle" >0.033 s</td><td align="center" valign="middle" >1 s</td></tr><tr><td align="center" valign="middle" >FT</td><td align="center" valign="middle" ></td><td align="center" valign="middle" >−1000 kN</td><td align="center" valign="middle" >−1000 kN</td></tr></tbody></table></table-wrap></sec><sec id="s7"><title>7. Conclusions</title><p>In this paper, the finite element truss model with six trusses was established with ANSYS/LS-DYNA dynamic analysis software. It simulated the situations that structures were crashed by heavy truck. Through changing variables, such as the crash positions, the impact load intensity and structural height-span ratio, this paper concluded their effects to the stress and strain in truss structure. Besides, considering the component failure, this paper analyzed the possibility of structural progressive collapse. Conclusions are shown as below:</p><p>1) Impact load on the 3rd side pillar will result in maximum stress in the structure, which is most destructive. The bearable maximum impact load intensity truss is about 1.8 &#215; 10<sup>5</sup> kg∙m/s (18 t &#215; 10 m/s).</p><p>2) The stress will be stronger in truss with greater height-span ratio. When the ratio is less than 0.6, the maximum stress in structure will increase by 1 &#215; 10<sup>7</sup> Pa with ratio increasing by 0.05. When the ratio is more than 0.6, is has not significant effect to the stress.</p><p>3) If the 3rd side pillar fails due to impact, components will progressively fail and the truss structure will collapse even though the impact load intensity is less than 1.8 &#215; 10<sup>5</sup> kg∙m/s (18 t &#215; 10 m/s).</p></sec><sec id="s8"><title>Cite this paper</title><p>Zheng, Z.W. and Bai, Y. (2017) Effects of Impact Loads on Mechanical Performance for Truss Structure. World Journal of Engineering and Technology, 5, 135-140. https://doi.org/10.4236/wjet.2017.53B015</p></sec></body><back><ref-list><title>References</title><ref id="scirp.78718-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Sun, L.L. (2016) Application Prospect of Large-Span Spatial Steel Tube Truss Structure. 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