Structures portfolio work.docx

                            Aras Ibrahim – Civil Engineering and Infrastructure – BEng

Structural Analysis Theory and Design 1

By: Aras Ibrahim

Activity Sheet 1

Sum of vertical forces:

R1 + R2 = 200 + 400 + (6 x 100) = 1200N

Sum of clockwise moments:

(200 x 2) + (400 x 3.5) + (600 x 3) = 3600N

Sum of counter clockwise moments:

6R2 N

Equating moments:                                                        Finding areas:

6R2 = 3600N                                                                      Area 1 =  4002+800=1000                                          (+)

R2 = 600N                                                                      Area 2 = 1.52200+50=187.5                             (+)

R1 = 600N                                                                      Area 3 = 2.52600+350=1187.5               (-)

Activity Sheet 2 – Task 1

Sum of vertical forces:

R1 + R2 = 3 + 2 + 2 = 7kN

Sum of clockwise moments:

(2 x 2) + (4 x 2) = 12kN

Sum of counter clockwise moments:

6 + 6R2

Equating moments:                                                        Finding areas:

6 + 6R2 = 12Nk                                                        Area 1 = 2 x 3 = 6              (-)

6R2 = 6kN                                                                      Area 2 = 2 x 3 = 6              (+)

R2 = 1kN                                                                      Area 3 = 2 x 1 = 2               (+)

R1 = 6kN                                                                      Area 4 = 2 x 1 = 2              (-)

Activity Sheet 2 – Task 2

Sum of vertical forces:

R1 + R2 = 3 + (8 x 1.5) = 15kN

Sum of clockwise moments:

(3 x 0.5) + (12 x 1.25) = 16.5kN

Sum of counter clockwise moments:

1.5R2

Equating moments:                                                        Finding areas:

1.5R2 = 16.5kN                                                                      Area 1 = 4 x 0.5 = 2                            (+)

R2 = 11kN                                                                      Area 2 =  0.1252=0.0625                            (+)

R1 = 4kN                                                                      Area 3 = (0.875)(7)2=3.0625                             (-)

                                                                                    Area 4 = (4)(0.5)2=1                                          (+)

Activity Sheet 2 – Task 3

Sum of vertical forces:

R1 + R2 = (36 x 3) + (18 x 12) + (12 x 3) = 360kN

Sum of clockwise moments:

(1.5 x 108) + (6 x 216) + (10.5 x 36) = 1836kN

Sum of counter clockwise moments:

12R2

Equating moments:                                                        Finding areas:

12R2 = 1836kN                                                        Area 1 = 32(207+45)=378              (+)

R2 = 153kN                                                                      Area 2 =  (2.5)(45)2=56.25                            (+)

R1 = 207kN                                                                      Area 3 = (3.5)(63)2=110.25                            (-)

                                                                                    Area 4 = 3263+153=324              (-)

Activity Sheet 2a – Task (a)

Sum of vertical forces:

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