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construction/11.5-subgroup 2-steel beam bending test.xls
steel beam

Load (kN) Deflection 1 (micrometers, µm) Deflection 2 (micrometers, µm)

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17.2064584125 2096.145135 2226.85399125

17.246179125 2101.41043875 2231.84217375

17.2701963 2105.1977625 2235.6294975

17.3154594375 2112.49528875 2242.83465

17.3468665125 2117.11397625 2247.26859

17.397672075 2123.76488625 2253.7347525

17.4207655125 2127.55221 2257.61445

17.453096325 2133.37175625 2263.3416225

17.4706473375 2136.69721125 2266.6670775

17.5057493625 2141.50064625 2271.4705125

17.5288428 2145.28797 2275.1654625

17.552859975 2150.091405 2279.87652375

17.5722584625 2153.13973875 2283.01723125

17.5907332125 2156.28044625 2286.065565

17.62121655 2160.52963875 2290.22238375

17.6350726125 2163.85509375 2293.455465

17.6646322125 2168.10428625 2297.61228375

17.6812594875 2170.87549875 2300.47587

17.70250545 2174.01620625 2303.70895125

17.73206505 2179.4662575 2309.25137625

17.75423475 2182.88408625 2312.76157875

17.7874893 2187.4104 2317.19551875

17.81335395 2191.38247125 2320.9828425

17.85030345 2197.66388625 2327.35663125

17.874320625 2201.54358375 2331.143955

17.92420245 2207.9173725 2337.42537

17.9546857875 2212.3513125 2341.76693625

17.9934827625 2219.09459625 2348.78734125

18.0267373125 2223.89803125 2353.59077625

18.081237825 2231.01081 2360.79592875

18.114492375 2235.814245 2365.876485

18.15328935 2242.83465 2373.17401125

18.181001475 2247.36096375 2377.79269875

18.2096373375 2251.79490375 2382.134265

18.2558242125 2258.1686925 2388.41568

18.280765125 2262.417885 2392.57249875

18.3121722 2268.79167375 2399.22340875

18.3352656375 2272.67137125 2403.0107325

18.38237625 2279.32228125 2409.476895

18.4156308 2284.21809 2414.4650775

18.45627525 2291.7927375 2421.94735125

18.4756737375 2295.30294 2425.45755375

18.5015383875 2299.73688 2429.79912

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18.78143085 2345.0000175 2475.247005

18.8137616625 2349.71107875 2480.14281375

18.8525586375 2357.10097875 2487.53271375

18.8784232875 2361.16542375 2491.6895325

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18.942161175 2371.14178875 2501.48115

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19.0151364375 2383.612245 2514.2287275

19.0511622 2389.15467 2519.7711525

__MACOSX/construction/._11.5-subgroup 2-steel beam bending test.xls

construction/11.5-subgroup 2-timber beam bending test.xls
timber beam

Load (kN) Deflection 1 (micrometers, µm) Deflection 2 (micrometers, µm)

0 0 0

0.3477211875 0.59823 0.4486725

0.348468975 1.57035375 1.42079625

0.357442425 6.50575125 6.50575125

0.3686592375 13.3106175 13.38539625

0.3866061375 26.09778375 26.1725625

0.39782295 33.3513225 33.799995

0.4120309125 42.24999375 42.773445

0.420256575 47.7088425 48.45663

0.43371675 58.327425 59.29954875

0.4486725 68.6468925 69.693795

0.4763406375 85.32255375 86.5937925

0.489053025 94.9690125 96.7637025

0.498026475 101.5495425 103.792905

0.5077477125 108.35440875 110.89688625

0.51148665 111.19600125 114.18715125

0.51746895 114.26193 117.62697375

0.5204601 115.9070625 119.72077875

0.5227034625 117.7017525 122.11369875

0.52345125 118.67387625 123.0858225

0.5256946125 119.87033625 124.50661875

0.5264424 120.84246 125.70307875

0.5286857625 122.11369875 127.19865375

0.5301813375 122.63715 128.02122

0.530929125 123.23538 128.7690075

0.5316769125 123.60927375 129.14290125

0.5346680625 124.8805125 130.41414

0.5660751375 148.2114825 154.11900375

0.59823 169.598205 175.95439875

0.629637075 188.66678625 195.920325

0.6363671625 193.15351125 200.8557225

0.659548575 210.876075 218.87740125

0.6700176 217.53138375 225.90660375

0.6647830875 215.063685 224.41102875

0.668522025 216.260145 225.9813825

0.686468925 228.89775375 238.76854875

0.6946945875 234.28182375 244.15261875

0.6976857375 236.001735 246.171645

0.70292025 238.76854875 249.23757375

0.7141370625 247.66722 258.51013875

0.719371575 251.4061575 262.54819125

0.7216149375 252.9017325 264.118545

0.728345025 257.0893425 268.38093375

0.7365706875 262.323855 273.8397825

0.7440485625 268.82960625 280.79420625

0.7477875 271.297305 283.56102

0.75676095 276.083145 288.72075375

0.7634910375 280.04641875 292.9831425

0.7709689125 285.43048875 298.74110625

0.7754556375 289.0946475 302.405265

0.7836813 294.32916 307.6397775

0.7889158125 297.91854 311.45349375

0.794150325 301.50792 315.26721

0.8038715625 308.31278625 322.5955275

0.81060165 312.50039625 327.0822525

0.818079525 317.28623625 332.4663225

0.8218184625 320.2026075 335.60703

0.82854855 325.5866775 341.36499375

0.8352786375 330.3725175 346.44994875

0.8502343875 338.897295 355.42339875

0.8577122625 343.8326925 360.5831325

0.859955625 347.1229575 364.24729125

0.8636945625 350.263665 368.210565

0.8756591625 358.11543375 376.95967875

0.880893675 362.00392875 381.59596125

0.8816414625 364.022955 383.764545

0.8876237625 368.0610075 388.1017125

0.897345 373.66941375 393.7848975

0.90631845 378.75436875 399.1689675

0.9085618125 380.54905875 400.88887875

0.9160396875 386.6061375 407.2450725

0.92426535 391.61631375 412.3300275

0.9324910125 396.70126875 417.63931875

0.9384733125 400.58976375 421.6025925

0.94819455 407.693745 429.0804675

0.9534290625 411.1335675 432.74462625

0.9631503 416.2185225 438.0539175

0.97212375 421.67737125 443.7371025

0.9810972 427.73445 449.94373875

0.99007065 435.13754625 457.7955075

0.994557375 438.801705 461.6840025

1.0042786125 444.3353325 467.44196625

1.012504275 448.07427 471.5547975

1.0222255125 455.77648125 479.481345

1.030451175 461.0857725 485.0149725

1.0416679875 467.29240875 491.52072375

1.0476502875 471.40524 495.93267

1.0566237375 478.80833625 503.70966

1.0648494 483.14550375 508.3459425

1.07382285 488.3052375 513.87957

1.078309575 491.96939625 517.69328625

1.0835440875 496.00744875 521.955675

1.0940131125 503.18620875 529.20921375

1.099247625 506.77558875 532.94815125

1.108221075 511.48665 537.9583275

1.1164467375 515.973375 542.4450525

1.1246724 523.07735625 549.84814875

1.129159125 526.143285 552.98885625

1.13962815 531.60213375 558.5972625

1.147106025 536.68708875 563.6822175

1.156079475 543.19284 570.48708375

1.1628095625 547.38045 574.7494725

1.1747741625 554.03575875 581.55433875

1.18150425 558.5972625 586.19062125

1.18748655 562.93443 590.6025675

1.1972077875 570.48708375 598.3795575

1.2031900875 574.599915 602.64194625

1.212911325 580.1335425 608.32513125

1.2203892 584.9193825 613.18575

1.2301104375 592.62159375 621.03751875

1.236840525 596.95876125 625.22512875

1.2465617625 602.5671675 630.9830925

1.2525440625 606.23132625 634.8715875

1.260769725 613.11097125 641.97556875

1.266752025 617.074245 646.01362125

1.2779688375 622.83220875 651.84636375

1.28320335 626.57114625 655.73485875

1.2899334375 631.80565875 661.11892875

1.293672375 634.94636625 664.334415

1.3004024625 639.28353375 668.6715825

1.3101237 645.191055 674.72866125

1.316106 649.00477125 678.76671375

1.3273228125 656.93131875 686.76804

1.3333051125 661.7919375 691.7034375

1.3422785625 667.1760075 697.0875075

1.350504225 671.6627325 701.79856875

1.3617210375 679.58928 709.50078

1.3662077625 682.50565125 712.56670875

1.375929 687.8149425 718.0255575

1.3819113 692.8998975 723.1105125

1.3878936 696.1901625 726.47555625

1.3961192625 701.20033875 731.41095375

1.4021015625 705.23839125 735.6733425

1.4080838625 710.77201875 741.3565275

1.413318375 714.1370625 744.72157125

1.4237874 720.19414125 750.85342875

1.4297697 724.6060875 755.265375

1.4394909375 731.85962625 762.66847125

1.446221025 735.44900625 766.4821875

1.4529511125 739.78617375 770.89413375

1.461176775 744.87112875 776.12864625

1.4649157125 748.01183625 779.26935375

1.4723935875 753.69502125 785.0273175

1.482114825 758.7051975 790.03749375

1.4948272125 765.06139125 796.3936875

1.5008095125 768.80032875 800.132625

1.5067918125 774.5582925 806.114925

1.5127741125 778.7459025 810.4520925

1.523990925 785.40121125 817.3317375

1.5292254375 788.9158125 820.9211175

1.5352077375 794.150325 826.3051875

1.5434334 799.60917375 831.6892575

1.5516590625 805.0680225 837.29766375

1.5621280875 810.7512075 843.13040625

1.5673626 814.71448125 847.16845875

1.5793272 823.9122675 856.366245

1.5875528625 829.22155875 861.82509375

1.6010130375 836.32554 868.929075

1.6084909125 841.5600525 874.23836625

1.6174643625 848.66403375 881.79102

1.622698875 852.10385625 885.15606375

1.634663475 858.0113775 891.28792125

1.6413935625 863.3954475 896.5972125

1.6518625875 870.79854375 904.224645

1.6593404625 875.88349875 909.53393625

1.6683139125 881.56668375 915.21712125

1.67803515 888.072435 921.7228725

1.6817740875 890.98880625 924.63924375

1.68999975 896.5972125 930.47198625

1.6967298375 901.30827375 935.25782625

1.709442225 908.5618125 942.73570125

1.7146767375 912.22597125 946.62419625

1.7221546125 917.61004125 952.2326025

1.7296324875 922.171545 956.64454875

1.7401015125 928.82685375 963.37463625

1.745336025 932.26667625 967.038795

1.7520661125 937.725525 972.49764375

1.7587962 942.0626925 976.83481125

1.7655262875 946.100745 980.9476425

1.7767431 952.45693875 987.2290575

1.78571655 958.28968125 992.98702125

1.799176725 968.01091875 1003.0821525

1.8059068125 972.94631625 1008.39144375

1.8178714125 979.52684625 1015.27108875

1.8253492875 984.5370225 1020.35604375

1.8343227375 991.7157825 1027.9086975

1.841052825 996.352065 1032.61975875

1.8567563625 1004.2786125 1040.9202

1.8657298125 1009.88701875 1046.7529425

1.8761988375 1017.81356625 1055.20294125

1.8836767125 1022.075955 1059.764445

1.8904068 1026.33834375 1064.02683375

1.9001280375 1033.21798875 1071.20559375

1.9061103375 1037.33082 1075.39320375

1.9165793625 1042.49055375 1080.92683125

1.92330945 1046.7529425 1085.3387775

1.933778475 1054.380375 1093.4148825

1.9382652 1057.74541875 1096.854705

1.942751925 1060.73656875 1099.845855

1.9539687375 1066.64409 1105.75337625

1.960698825 1071.42993 1110.68877375

1.9674289125 1077.18789375 1116.7458525

1.9719156375 1080.2538225 1119.88656

1.9808890875 1085.26399875 1124.971515

1.9868713875 1088.85337875 1128.560895

1.9943492625 1094.83567875 1134.6927525

2.0018271375 1099.54674 1139.62815

2.01304395 1105.30470375 1145.7600075

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2.0279997 1115.62417125 1156.15425375

2.0347297875 1119.81178125 1160.34186375

2.044451025 1125.4201875 1166.17460625

2.050433325 1129.83213375 1170.5865525

2.05492005 1133.64585 1174.54982625

2.0638935 1139.1794775 1180.23301125

2.0706235875 1143.516645 1184.6449575

2.0825881875 1150.02239625 1191.2254875

2.0878227 1153.61177625 1194.964425

2.095300575 1158.9210675 1200.42327375

2.0997873 1162.061775 1203.71353875

2.1095085375 1167.81973875 1209.62106

2.1169864125 1172.3812425 1214.4069

2.125212075 1178.6626575 1221.06220875

2.1304465875 1182.32681625 1224.7263675

2.1394200375 1187.187435 1229.73654375

2.1454023375 1190.9263725 1233.47548125

2.1513846375 1194.59053125 1237.36397625

2.1573669375 1199.750265 1242.59848875

2.16260145 1202.96575125 1245.88875375

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2.179052775 1212.53743125 1255.68477

2.1857828625 1217.92150125 1261.06884

2.1917651625 1221.7352175 1264.8077775

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2.2067209125 1229.96088 1273.10821875

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2.2321456875 1247.608665 1291.20467625

2.2381279875 1250.82415125 1294.56972

2.244858075 1256.4325575 1300.47724125

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2.2972032 1288.7369775 1333.3051125

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2.3144023125 1300.92591375 1345.8679425

2.3218801875 1305.636975 1350.6537825

2.33010585 1311.021045 1356.18741

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2.364504075 1332.557325 1378.69581375

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2.3817031875 1342.2785625 1388.9405025

2.3891810625 1347.0644025 1393.95067875

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2.4669509625 1395.2219175 1443.75332625

2.47966335 1403.44758 1451.90421

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2.5065837 1418.5528875 1467.6077475

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2.5245306 1430.2183725 1479.8714625

2.532008475 1435.3033275 1485.105975

2.5424775 1441.06129125 1491.2378325

2.546964225 1444.65067125 1494.97677

2.55743325 1452.57721875 1503.12765375

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2.5806146625 1464.9157125 1515.7652625

2.5865969625 1468.57987125 1519.87809375

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2.765318175 1578.2802975 1634.14002375

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2.8767385125 1647.226305 1705.77806625

2.8842163875 1651.8625875 1710.56390625

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3.0128358375 1731.87585 1793.86743375

3.0262960125 1741.37275125 1803.5138925

3.03601725 1747.2802725 1809.57097125

3.0472340625 1753.63646625 1816.0767225

3.055459725 1757.82407625 1820.63822625

3.0651809625 1764.18027 1827.4430925

3.0711632625 1768.36788 1831.78026

3.0808845 1774.051065 1837.6130025

3.088362375 1778.53779 1842.32406375

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3.106309275 1790.3528325 1854.6625575

3.1130393625 1794.31610625 1858.8501675

3.121265025 1799.176725 1863.86034375

3.1287429 1803.66345 1868.571405

3.1399597125 1811.44044 1876.42317375

3.1444464375 1814.95504125 1880.0873325

3.1564110375 1821.4607925 1886.6678625

3.1646367 1826.39619 1891.7528175

3.17361015 1833.1262775 1898.70724125

3.1803402375 1836.93999375 1902.8200725

3.19155705 1843.2961875 1909.4006025

3.199034925 1847.85769125 1914.26122125

3.2072605875 1852.64353125 1919.2713975

3.2177296125 1860.0466275 1926.82405125

3.2244597 1863.9351225 1930.86210375

3.2364243 1869.99220125 1937.2182975

3.243902175 1874.7032625 1942.22847375

3.252875625 1882.1811375 1950.00546375

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__MACOSX/construction/._11.5-subgroup 2-timber beam bending test.xls

construction/IMG_6791

__MACOSX/construction/._IMG_6791

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__MACOSX/construction/._IMG_6792

construction/1st submission x

Laboratory report _ Title: Compressive & Bending tests of steel and timber

Name

Student Number

Group No.

Subgroup No.

Module Name

Construction Materials

Module Code

CN117

1.
Compressive tests:

1.1 Steel Cylinder

Diameter (mm): ……………

Height (mm): ……………

Results

Load at yield (kN): ……………

1.2 Timber

Loading direction parallel to the grain

Loading direction perpendicular to the grain

b (mm): ……………

d (mm): ……………

h (mm): ……………

Results:

Maximum load (kN):……………

b (mm): ……………

d (mm): ……………

h (mm): ……………

Results:

Maximum load (kN) ……………

2.
Bending tests

Bending Load (P)= Load cell 1 + Load cell 2

Steel beam

Timber beam

a (mm): ……………

b (mm): ……………

t (mm): ……………

beam length (mm): ……………

span length (mm): ……………

c (mm): ……………

d (mm): ……………

beam length (mm): ……………

span length (mm): ……………

List of contents:

The contents of the 2nd lab report should include the items listed below:

Detailed calculations for all the questions must be provided in the report.

1.
Compressive tests:

Calculate the following:

1.1 Compressive yield stress of steel. (
10%)

1.2 Compressive strength (maximum stress) of timber for loading direction parallel to the grain. (
10%)

1.3 Compressive strength (maximum stress) of timber for loading direction perpendicular to the grain. (
10%)

——————————————————————————————————-

In addition to the detailed compressive strength calculations for timber (ii & iii), it is essential to provide adequate information about the loading direction. In your final report, include one of the following figures (1, 2 or 3) before the strength calculations for loading direction parallel to the grain (ii), and another one (1, 2 or 3) before the strength calculations for loading direction perpendicular to the grain (iii). This will indicate the loading direction of the specimens tested in the lab.

1.

2.

3.

Loading surface (
b d)

Loading surface (
d h)

Loading surface (
b h)

2.
Bending tests

2.1 Plot the load-deflection diagram of the steel beam tested in the lab.
(15%)

2.2 Calculate the stiffness () of the steel beam tested in the lab.
(10%)

2.3 Plot the load-deflection diagram of the timber beam tested in the lab.
(15%)

2.4 Calculate the stiffness () of the timber beam tested in the lab.
(10%)

2.5 Find the stiffness (K’timber) of a timber beam with a hollow cross section equal to the one of the steel beam tested in the lab, and the stiffness (K’steel) of a steel beam with a ‘solid’cross section equal to the one of the timber beam tested in the lab (considering that the loading setup remains the same).
(20%)

Timber beam with a hollow cross section

Steel beam with a ‘solid’ cross section

K’timber
= ?

K’steel
= ?

For this question and for beams with exactly the
same cross section (and same loading setup) the following equation can be used:

where:

Ktimber: is the stiffness of a timber beam,

Ksteel: is the stiffness of a steel beam,

Etimber: is the modulus of Elasticity of timber – For this question Etimber=10 GPa,

Esteel: is the modulus of Elasticity of steel – For this question: Esteel=200 GPa
.

Solution

Laboratory report _ Title: Compressive & Bending tests of steel and timber

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__MACOSX/construction/._1st submission x

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__MACOSX/construction/._IMG_6781

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