Properties of Rolled Steel Shapes | Mechanics of Materials | CVEN 305, Study notes of Mechanics of Materials

Download Properties of Rolled Steel Shapes | Mechanics of Materials | CVEN 305 and more Study notes Mechanics of Materials in PDF only on Docsity! CVEN 305 - 5 - CLASS NUMBER DATE |! /25 /c&@ PAGE| / ) Toe Qo TE Rane , a gntdicciedl dewaice hos pape | ebfe Hem fe DEORRP . $ CS Loap= 0,02 Blue | Dun | Por ycARBonate oot = Wes aces) (1D (07 ¥Zn)~ bt F nig 6,02" )(o7s2in) C64) ar 2 (01.39% 10° # /IN*) D =O0.0Z19iN Problem 1) Draw the shear and moment diagram for the beam loaded as shown. W = 3 k/ft, Li = 8 ft, L2 = 10 ft, L3 = 4 ft. Bee iMFe = 42 kipe Voras L044 R1] -vWie! RQ sserips DEM gery tipl 19st + Rye 1B 44 20 Ras 85 kips DIMe-~ ALkips- Ste~ RB egeco SSkipse Tipe 42 kips v7 Ried vies zt 4 AE Tips: @ FL Ble kip Ft av ge taxipt L/ Ags gas Tkipt $= 9.471 kip tt t sgh ° P- vg 3 yxie® Ble av? 4 ONO, VEL EDEL? . = 23 - oprbae : - eS Age SR be -2e kis | a- OB:17 ips Ags [eer dee ts gu vip fe SUsB.14~ OB.114T FOV mo ip Problem 2} The. eight foot long W30x173 wide flange cantilever beam shown below is supported on the left end at a wall. Loads P1 = 100 kips, P2 = 1200 kips, and P3 = 12 kips are applied as shown. Determine the stress occurring at the top right corner of the beam at the wall (point a.) Omit the weight of the beam. I, = #20? Ty 598 A b P] smn t _ — P2 week t Cc... A stn P3 pik , Me _ Booktt (sania) agoo Kin (iS izdin) = 1782 Kgi TENsEon One = + = eso good a Cans 12.g0k, = c WOOk = 23,62 ks TEN STON “So ein Cap, = 6. a 2 (rel (e+) Aas 4, 43 KSE coanpeesstoe S%@ ist pRB GRES ET MARR SE =[zze est] bq? 1A G2 eS Problem 3) Solve for the maximum principal normal and shear stresses for an element with o, = 20 MPa (tension), Gy = -30 MPa (compression), and t,y = 15 MPa (down on the left vertical face of the element.) You can use either Mohr’s Circle or the equations. {agra a ise r Zonta ee = Problem 5) The rectangular holiow steel beam shown below is 20cm deep by 8 cm wide, outside dimensions. The walls are 1 cm thick. The maxiraum vertical shear on the section (from a shear and moment diagram) is 120 KN. Determine the maximum shearing stress in the beam. Vann = 1LOEN may SHEAR OCLuRS AT cENTRAEG OF cRcth SECTEON Az Zocn(de}— iPom { Gen) = ae se | i 2. | = _l| IF bom (ire? ben (ier), = 1.47330" — iL |b [——-+ va QsAy f= 2cm me 26em™ 2 to kN a Tory Sarason (ee) . 2 rcwn? Qe loa (ter) Sem ) + Gem (1) Sem sl - 7 Frmye x08 (4sTHO A) _ 2, eae erHie™Fa ot 1,HeT33 He Se" (02 _ peat mea Seat # 24 Name A A 2 General examination rules: 1) Do not put your completed work on a desk or on the floor next to you or anywhere it can be seen by others. If any part of your work can be seen by others it will be confiscated and you will not be permitted to rework those problems. Place it face down on your desk under your existing work.. 2) Please remove your hat. If it is part of your head, turn it around backwards. 3) If your work not legible, or if your logic cannot be followed at a glance, it will receive no credit. This paper must be written to acceptable engineering standards or it will receive no credit. 4) Each problem has the same value. 5) You may work on your own paper or you may use paper supplied at the front of the room. 6) Please read the problem very carefully. Working out the correct answer to something not requested wastes valuable time and is worth zero points. Ethical Standards: Upon accepting admission to Texas A&M University, a student immediately assumes a commitment to uphold the Honor Code, to accept responsibility for learning, and to follow the philosophy and rules of the Honor System. Students will be required to state their commitment on examinations, research papers, and other academic work. Ignorance of the rules does not exclude any member of the TAMU community from the requirements or the processes of the Honor System. “On my honor, as an Aggie, I have neither given nor received unauthorized aid on this exam." Signature of student Please do not open this exam until you are told to do so. 750 Appendix C. Properties of Rolled-Steel Shapes W Shapes {Wide-Flange Shapes) (U.S. Customary Units} W36 X 300 88.3 135 39.7 W30 X 173 50.8 99 29.1 36,74 35.55 30.44 29.65 16,655 11.950 14.985 10.450 20300 7800 8200 3990 1110 439 539 269 15,2 14.0 12.7 117 1300 156 225 37.7 3.83 2.38 598, 79.8 128 24.5 3.43 2.10 W24 x 104 30.6 68 20.4 HE: W18 X 106 314 76 22.3 50 147 35 10.3 24.06 23.73 18.73 18.21 17.99 17.70 12,750 8.965 11,200 = 0.940 11.035 0.680 7.495 0.570 6.000 0.425 0.590 0.425 0.355 0.300 3100 1830 1910 1330 800 510 258 154 204 146 88.9 57.6 10.1 7.84 V3 7.38 7.04 259 40.7 704 15.7 2.91 1.87 220 304 2.66: 152-276 2.6L 40.1 10.7 1.65, 15.3 5.12 1.22 Wi4 x 370 i09 145 2%6 7.69 2 6.49 17.92 13.91 13.74 5.025 5.000 0.335 0.255 0.230 607 232 35.3 29.0 2 7.07 6.33 1990 244 677 87.3 l4 9.3 1.49 5.82 19.6 8.91 3.54 1.08 700 280 1.04 Problem 3) The ten foot long W24x104 wide flange cantilever beam shown below is supported on the left end at a wall. Loads P1 = 80 kips, P2 = 1000 kips, and P3 = 14 kips are applied as shown. Determine the stress occurring at the bottom left corner of the beam at the wall (point c.) Omit the weight of the beam. \ by PIS EO a Mace Mist Dex Dyx  Problem 3) The ten foot long W24x 104 wide flange cantilever beam shown below is supported on the left end at a wall. Loads P1 = 80 kips, P2 = 1000 kips, and P3 = 14 kips are applied as shown. Determine the stress occurring at the bottom left corner of the beam at the wall (point c.) Omit the weight of the beam. PT gore — Ww A L L Pres oF : Tayi . drwy = 30.en , Most) = tlio a Nog = FOkp ( jots) (12 Me 1) gtoo o Sire iy ~ f6so wipe! hay = 14 hip (oe\(ie inés) U3 x mM Cy = 2886 “es = uo,70 Says 4 | 2 Me - 37,2 a Loe Su cet oe fee 2 au Cys = a ~ | ¥ Dy Le ~ _ ——- F ployer Meo F= tmhey- Max wv + Nagel Nw Problem 4) The rectangular hollow steel beam shown below is 18 cm deep by 10 cm wide, outside dimensions. The walls are 2 cm thick. The maximum vertical shear on the section (from a shear and moment diagram) is 180 KN. Determine the maximum shearing stress in the beam. a y = iOem) seen) loom)(i4em (dem) ——— rare 7 EE : = syetot Lael ro a deen | | Cem| = 25S a 3 v= NG _(eoke)(Z68en J = 22218 Lt 348 e0m “tem =22efe thw Bd2gie (ced, 2z2qacoe N VO {BOK T Buk “(ON Sm) @OZ ml Zoftken CVEN 305 - CLASS NUMBER DATE PAGE 2 / gh il hy. Lom Fah 4 aeN/n A, ) C L ero, -|C brew IZRN wid IZ dn CVEN 305 - CLASS NUMBER DATE / / PAGE 2 /