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 m20 kNR₁-4 m2x4=8 kN!B2mDTTTTTR3 R₂2 kN/m 110 kN4 mEC|2m|Fig. 415 kN.mSolution:ΣFx = 0:ΣF, = 0:EM@A=0:R₁-20=0R₁ = 20 kN (→)R₂-8-10-0R₂ = 18 kN (1)R3 + 20 × 4-8 x 210 × (2+4) - 15 = 0R3 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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Answered: please can you explain how they got the…

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Moments

There are various practical applications of the concept of moments, like a rotation of the crank due to linear motion of the piston, the moment of inertia and its use in designing beams and columns, bending moment concept, torque, twisting moment, etc.

Question

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

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