For the beam shown below, q = 14 kN/m and L=4 m. (1) Determine the moments at A and B assuming El is constant. (2) Deter

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For The Beam Shown Below Q 14 Kn M And L 4 M 1 Determine The Moments At A And B Assuming El Is Constant 2 Deter 1 (144.61 KiB) Viewed 64 times

For the beam shown below, q = 14 kN/m and L=4 m. (1) Determine the moments at A and B assuming El is constant. (2) Determine the deformed shape of the beam. (3) Determine the shear force and bending moment diagrams of the beam, as well as the relevant values at the "strategic" points. q B C Tum TUM 2L L Part a) Task 1: Which joint should be locked and unlocked? OA B OC Part a) Task 2: Determine the bending stiffness: Flexural stiffness: KAB = KBA = End rotational stiffness: SBA= EI, KBC = KCB = KBA El, SBC = КВс EI Part a) Task 3: Determine the distribution factor (DF) (absolute value; please present with four decimal places): DFBA = , DFBC = Determine the Fixed End Moment (FEM) (kNm) (assuming anti-clockwise positive; please present with two decimal places): FEMAB= , FEMBA = , FEM BC = , FEMCB= 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-end AB BA DF (fill in with negative values) Fixed End Moment (FEM) (kNm) Distribution (kNm) CO factor = Carry-over moment (kNm) Sum of member-end moment (kNm) (fill in with actual values, anti- clockwise positive) O O O N/A ↑ ↑ O N/A BC CO factor= O N/A C CB N/A Submit part Answered

Part a) Task 4: Determine all support reactions (fill in with absolute values): Horizontal reaction at A: HA= KN O ● N/A Vertical reaction at A: VA O Vertical reaction at B: VB= O Vertical reaction at C: Vc= O N/A O What is the shear force to the left of B (absolute value)? kN What is the local maximum moment between A and B (absolute value)? kNm m What distance to the right of A does the local maximum moment between A and B occur? What distance from A does the contraflexure point (CP) closest to A occur? Near point: DCP-A,near What distance from A does the contraflexure point (CP) furthest to A occur? Far point: DCP-A, far= ON/A O N/A kN kN KN m m Submit part