For the beam shown below, L=5 m. (1) Analyse the beam assuming El is constant. (2) Determine the deformed shape and bend
Posted: Wed Jun 08, 2022 6:21 am
For the beam shown below, L=5 m. (1) Analyse the beam assuming El is constant. (2) Determine the deformed shape and bending moment diagram of the beam, as well as the relevant values at the "strategic" points. 16 kN 0.6 kN/m 118 KN B C D Tum Tum 3L ·|-| +²+ Part a) Task 1: Which joint(s) should be locked and unlocked? (you can choose more than one joint) OB ⒸB and C O C O A and D Part a) Task 2: Determine the bending stiffness (please present with three decimal places): Flexural stiffness: KAB=KBA= El, KcD = KDC: ΕΙ EI, KBC = KCB = KBA= End rotational stiffness: SBA= El, SBC= KBC = EI, SCD = KCD= Part a) Task 3: Determine the distribution factor (DF) (absolute value; please present with four decimal places): DFBA= , DFBC , DFCB= , DFCD= Determine the Fixed End Moment (FEM) (kNm) (assuming anti-clockwise positive; please present with two decimal places): FEMAB FEMBA= , FEMBC= , FEMCB = , FEM CD = , FEMDC A 2L ΕΙ Submit part Answered Submit part Answered
Fill in the table below (actual values; please DO NOT present the values in fraction): Joint A B Member- AB BA BC end DF (fill in with negative values) Fixed End Moment (FEM) (kNm) Distribution (kNm) CO factor= CO factor= Carry-over moment (kNm) Distribution (kNm) Carry-over moment (kNm) Distribution (kNm) Carry-over moment (kNm) Distribution (kNm) Carry-over moment (kNm) Distribution (kNm) CB CO factor = с CD CO factor= D DC
Sum of member- end moment (kNm) (fill in with actual values, anti- clockwise positive O Ⓒ O N/A • T ON/A Part a) Task 4: Determine all support reactions (fill in with absolute values): Vertical reaction at A: VA kN Vertical reaction at B: VB= N O Vertical reaction at C: Vc O O Vertical reaction at D: Vp O KN KN 个 O N/A O N/A ↓ O N/A O N/A Submit part Answered
Fill in the table below (actual values; please DO NOT present the values in fraction): Joint A B Member- AB BA BC end DF (fill in with negative values) Fixed End Moment (FEM) (kNm) Distribution (kNm) CO factor= CO factor= Carry-over moment (kNm) Distribution (kNm) Carry-over moment (kNm) Distribution (kNm) Carry-over moment (kNm) Distribution (kNm) Carry-over moment (kNm) Distribution (kNm) CB CO factor = с CD CO factor= D DC
Sum of member- end moment (kNm) (fill in with actual values, anti- clockwise positive O Ⓒ O N/A • T ON/A Part a) Task 4: Determine all support reactions (fill in with absolute values): Vertical reaction at A: VA kN Vertical reaction at B: VB= N O Vertical reaction at C: Vc O O Vertical reaction at D: Vp O KN KN 个 O N/A O N/A ↓ O N/A O N/A Submit part Answered