Question

Problem : Determine the reactions at the spports, then draw shear and moment diagrams, Assume B & C are rollers and A is pinned. Support B settles downward 5 mm. Take E1200 GP 3 00X10) Trun. Note: Show all the required sketches in Sachsen TO EN/m

structure analysis

Answer 1

STAAD INPUT

STAAD PLANE
START JOB INFORMATION
ENGINEER DATE 27-Oct-19
END JOB INFORMATION
INPUT WIDTH 79
UNIT METER KN
JOINT COORDINATES
1 0 0 0; 2 6 0 0; 3 12 0 0;
MEMBER INCIDENCES
1 1 2; 2 2 3;
DEFINE MATERIAL START
ISOTROPIC STEEL
E 2.05e+008
POISSON 0.3
DENSITY 76.8195
ALPHA 1.2e-005
DAMP 0.03
TYPE STEEL
STRENGTH FY 253200 FU 407800 RY 1.5 RT 1.2
END DEFINE MATERIAL
MEMBER PROPERTY INDIAN
1 2 TABLE ST ISLB150
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 PINNED
2 3 FIXED BUT FX FZ MX MY MZ
LOAD 1 LOADTYPE None TITLE LOAD CASE 1
MEMBER LOAD
1 2 UNI GY -10
PERFORM ANALYSIS
FINISH

- STAAD.Pro V8i (SELECTseries 4) - steel beam.std File Edit View Tools Select Geometry Commands Analyze Mode Window Help | = | n + R X C); } < B ? 8 [à là e đã [à B đều đã trở AI = 8 tỷ ? 8 0000000 Đ # 0 0 0 0 * Q 1: LOAD CASE 1 4 5 # 2 0 #GI Fyp Ħal FM 9 99 % 0 8 8 8 h FE + f|E SER 1 Modeling Postprocessing Steel Design Concrete Design Foundation Design RAM Connection Bridge Deck Advanced Slab Design Piping Earthquake steel beam.std - Whole Structure * and Setup Property Load & Definition D Definitions SL Load Cases Details 1.- L 1: LOAD CASE 1 e UNI GY-10 kN/m LL Load Envelopes * Geometry Spec 10 kN / m 6 m 6 m General - Support = + Analysis/Print Load & Definition INH1 s Design 2 Material New... Edit... Delete... Add. Toggle Load Assignment Method Assign To Selected Entities O Assign To View Use Cursor To Assign Assign To Edit List 12 Load 1 Activate Windows Go to Settin Assign activat Close ndows Help Ne For Help, press F1 Modeling Mo Load 1: LOAD CASE 1 Input Units: kN-m 16:15 1 Type here to search g o e M @ 5 A D $ )) 27-10-2019 E

- o * $ STAAD.Pro V8i (SELECTseries 4) - steel beam.std File Edit View Tools Select Results Report Mode Window Help | = | n + R X C); } < B ? 8 [à là e đã [à B đều đã trở AI = 8 lº ? * * 33° 000 000 $ $ $ # @ Q Q DE Q1 : LOAD CASE 1 A B C G Fra Fyp CH FE + f|E SER Modeling Postprocessing Steel Design Concrete Design Foundation Design RAM Connection Bridge Deck Advanced Slab Design Piping Earthquake steel beam.std - Whole Structure - o x Fz IC .std - Support Reactions: All Summary Envelope / Horizontal Vertical Horizontal Fx Fy KN KN 0.000 22.515 0.000 D CAS 0.000 74.969 0.000 D CASI 0.000 22.515 0.000 8 Node Displacement | Beam +84 4 2 6 8 8 2 Animation - Reactions CAS Moment My kip-ft 0.000 0.000 0.000 Mx kip-ft 0.000 0.000 0.000 Mz kip-ft 0.000 0.000 0.000 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 m 1 6 m x = FREE @ Reports H H C | x std - Statics Check Results Fy | | Mz KN KN 0.000 KN Y = 22.515 kN = 0.000 kN MX = FREE MY = FREE MZ = FREE X = FREE Y = 74.969 KN = FREE MX = FREE MY = FREE MZ = FREE Y = 22.515 kN z = FREE MX = FREE MY = FREE MZ = FREE 0.000 0.000 0.000 -120.000 120.000 0.000 Fz KN 0.000 0.000 0.000 Mx kip-ft 0.000 0.000 0.000 My kip-ft 0.000 0.000 0.000 kip-ft -531.045 5 31.045 0.000 rence IEL đu đủ Load 1 Activate Windows Go to Settings to activate Windows. Ne For Help, press F1 Post Mode Load 1: LOAD CASE 1 mu Input Units: kN-m 16:18 E 1 Type here to search g o e M @ 5 A D x (2) 27-10-2019

- O X STAAD.Pro V8i (SELECTseries 4) - [steel beam.std - Whole Structure] File Edit View Tools Select Results Report Mode Window Help 90% e X 219 tác .:* @Q @ @ O 4 A ++ I N Haro 000 000 $ $ $ # @ Q Q DE Q1 : LOAD CASE 1 A B C G DET FYN ER OGS0$ ? A o I 2 F E VE PlateStress Modeling Postprocessing Steel Design Concrete Design Foundation Design RAM Connection Bridge Deck Advanced Slab Design Piping Earthquake Node - Forces 84 2 6 8 8 8 8 8 | Beam Stresses Animation la Graphs + Max: 37.485 kN Max: 37.485 Wp L 7.485 kN : 495 KR I i Reports H H C | I $22.515 kN 122.515 kN IEL đu đi Activate Windows Load 1: Shear Y Go to Settings to activate WindForce - KN Na Display plate stresses on the structure Post Mode Load 1: LOAD CASE 1 Input Units: kN-m Type here to search A 16:19 ^ O . 27-10-2019

- O X STAAD.Pro V8i (SELECTseries 4) - [steel beam.std - Whole Structure] File Edit View Tools Select Results Report Mode Window Help 90% e X 219 tác .:* @Q @ @ O 4 A ++ I N Haro 000 000 $ $ $ # @ Q Q DE Q1 : LOAD CASE 1 A B C G wa Fyp Ħ FIMO 69% ? A o I 2 F E VE Modeling Postprocessing Steel Design Concrete Design Foundation Design RAM Connection Bridge Deck Advanced Slab Design Piping Earthquake Node - Forces 84 2 6 8 8 8 8 8 | Beam Stresses Animation la Graphs + Max: 44.907 km AkumIITT_591546 x 54346 km I t o kNm i Reports H H C | IEL đu đi Activate Windows Load 1: Bending Z Go to Settings to activate W Moment - kNm Post Mode Load 1: LOAD CASE 1 Input Units: kN-m mu 16:21 A D x (9) 27-10-2019 For Help, press F1 Type here to search

Softwan land to-guard FATI Jule Title Catc27-Oct-19 Dal Cha 27-Oct-2019 16:16 Clicnl Fic steel beam.std Reactions Moment Node LIC TMY (kN) Horizontal Vertical Horizontal FX FYFZ (kN) (kN) 0.000 22.515 0.000 00 7 4 089 000 0.000 22.515 0.000 1 1:LOAD CASE ADCASE 1:LOAD CASE MX (kNm) 0.000 0.000 0.000 (kNm) 0.000 0.000 0.000 MZ (kNm) 0.000 0.000 0.000 3 Reaction Summary Node LIC 1 1 2 3 Max FX Min FX Max FY Min FY Max FZ Min FZ Max MX Min MX Max MY Min MY Max MZ Min MZ 1:LOAD CASE 1:LOAD CASE 1:LOAD CASE 1 :LOAD CASE 1:LOAD CASE 1:LOAD CASE 1:LOAD CASE 1:LOAD CASE 1:LOAD CASE 1:LOAD CASE 1:LOAD CASE 1 :LOAD CASE Horizontal Vertical Horizontal Moment FX FZ TMX MY (kN) (kN) (kN) (kNm) (kNm) 0.000 22.5150 .000 0.0001 0.000 0.000 22.5150 .000 0.000 0.000 0.000 74.969 0.000 0.000 10.000 0.000 22.515 0.000 0.000 10.000 0.000 22.515 0.000 0.000 0.000 0.000 22.515 0.000 0.000 0.000 0.000 22.515 0.000 0.000 0.000 0.000 22.515 0.000 0.000 0.000 0.000 22.515 10.000 0.000 0.000 0.000 22.515 0.000 0.000 0.000 0.000 22.515 0.000 0.000 0.000 0.000 22.515 0.000 0.000 0.000 MZ (kNm) 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1 1 1 1 1 1 (kN) Beam Force Detail Sigri curierition as diagrams:-positive above lune, negative below live except Fx wfiore positive is corripression. Distance d is giver from bear end A. Axial Shear Torsion Bending Beam LIC d FX Fy FzMx My Mz (m) (kN) (kN) (kNm) (kNm) (kNm) 1 1:LOAD CASE 0.000 0.000 22.515 0.000 0.000 0.000 0.000 0.600 0 .000 16.515 0.000 0.000 0.000 -11.509 1.200 0.000 10.515 0.000 0.000 0.000 -19.519 1.8000 .000 4.515 0.000 0.000 0.000 24.028 2.400 0.000 -1.485 0.000 0.000 0.000 25.037 3.000 0.000 -7.485 0.000 0.000 0.000 -22.546 3.6000 .000 -13.485 0.000 0.000 1 0 .000 -16.056 4.2000 .000 -19.4850 .000 0.000 0.000 8.065 4.800 0.000 -25.485 0.000 0.000 0.000 7.426 5.400 0.000 31.485 0.000 0.0001 0.000 24.416 6.000 0.000 37.485 -0.000 0.000 0.000 44.907 2 1:LOAD CASE 0.000 10.000 37.485 0.000 0.000 0.000 44.907 0.8000 .000 31.485 0.000 0.000 0.000 24.416 1.200 0.000 25.485 0.000 0.000 0.000 7.426 1.8000.000 19.485 0.000 0.000 0.000 8.065 2.400 0.000 13.485 0.000 0.000 0.000 -16.056 3.000 0.000 7.485 0.000 0.000 0.000 -22.546 3.800 0 .000 1.485 0.000 0.000 0.000 25.037 Print Time Date: 27/10/2015 16:37 STAAD.Pro VBI (SELECTseries 4) 20.07.09.31

Softwan land to-guard FATI Jule Title Catc27-Oct-19 Dal Cha 27-Oct-2019 16:16 Clicnl Fic steel beam.std FX Beam Force Detail Cont... Axial Beam LIC (kN) 4.200 0 .000 4.800 0 .000 5.400 0.000 6.000 -0.000 (m) Shear Torsion FY FzMx (kN) (kN) (kNm) 4.515 0.000 0.000 -10.515 0.000 0.000 -18.515 0.000 0.000 -22.515 -0.000 0.000 Bending My MZ (kNm) (kNm) 0.000 24.028 0.000 -19.519 0.000 -11.509 0.000 0.000 Beam Maximum Moments Distances to maxima are given from beam end A. Beam Node A Length LIC (m) 1 1 1 6.000 1:LOAD CASE Max-ve Max +ve 2 2 6 .000 1:LOAD CASE Max-VC 1 Max +ve (m) 0.000 0.000 0.000 0.000 Max Myd (kNm) 0.000 0.000 0.000 0.000 (m) 5.000 2.500 0.000 3.500 Max Mz (kNm) 44.907 -25.039 44.907 -25.039 d Beam Maximum Shear Forces Distances to maxima are given from beam end A. Beam Node A Length LIC d (m) (m) 1 1 6 .000 1:LOAD CASE Max-ve0 .000 Max +ve 1 0.000 2 2 6.000 1:LOAD CASE Max-ve 0.000 Max +ve 0.000 Max Fz (kN) 0.000 0.000 0.000 0.000 (m) 0.000 6.000 0.000 6.000 Max Fy (kN) 22.515 -37.485 37.485 -22.515 Print Time Date: 27/10/2015 16:37 STAAD.Pro VBI (SELECTseries 4) 20.07.09.31 Print Run 2 of 2