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please can you explain how they got the direction of the moments . and alos how i should determine the direction of the moment when dealing with this thyps of questions

please can you explain how they got the direction of the moments . and alos how i should determine the direction of the moment when dealing with this thyps of questions

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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please can you explain how they got the direction of the moments . and alos how i should determine the direction of the moment when dealing with this thyps of questions 

Fig. 4 details a cantilever frame. Compute the reactions at support A and indicate their directions. 3 m 20 kN R₁- 4 m 2x4=8 kN! B 2m D TTTTT R3 R₂ 2 kN/m 110 kN 4 m E C |2m| Fig. 4 15 kN.m Solution: ΣFx = 0: ΣF, = 0: EM@A=0: R₁-20=0 R₁ = 20 kN (→) R₂-8-10-0 R₂ = 18 kN (1) R3 + 20 × 4-8 x 210 × (2+4) - 15 = 0 R3 11 kNm (.)) Static check: EM@c = R3 + R₁ × (3+4) - R₂ × (4+2) - 20 × 3+ 8x (2+2) - 15 = 11+20 × 7-18 x 6-20 x 3 + 8×4-15 = 0
Transcribed Image Text:Fig. 4 details a cantilever frame. Compute the reactions at support A and indicate their directions. 3 m 20 kN R₁- 4 m 2x4=8 kN! B 2m D TTTTT R3 R₂ 2 kN/m 110 kN 4 m E C |2m| Fig. 4 15 kN.m Solution: ΣFx = 0: ΣF, = 0: EM@A=0: R₁-20=0 R₁ = 20 kN (→) R₂-8-10-0 R₂ = 18 kN (1) R3 + 20 × 4-8 x 210 × (2+4) - 15 = 0 R3 11 kNm (.)) Static check: EM@c = R3 + R₁ × (3+4) - R₂ × (4+2) - 20 × 3+ 8x (2+2) - 15 = 11+20 × 7-18 x 6-20 x 3 + 8×4-15 = 0
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