SAN3701 Assignment 01 Answers Semester 1 2024

Structural Analysis IV

Assignment 1 Answers

Semester 1 2024
26 APRIL 2024
DUE DATE




0027 65 934 4052

,
,
,PREVIEW


QUESTION 1




The degree of static indeterminacy, n = m + r – 2j
r = 3, m = 6; j = 4
m = 6 +3 – 2(4) = 1
Choose member AC as redundant
∑ 𝑀𝐷 = 0
2 × 42
6𝑅𝐴 − − 18.03 sin 33.7(4) = 0
2
6𝑅𝐴 = 56.015
𝑅𝐴 = 9.336 𝑘𝑁


∑ 𝑀𝐴 = 0
2 × 42
−6𝑅𝐷 − − 18.03 cos 33.7 × 6 − 18.03 sin 33.7 × 4 = 0
2
6𝑅𝐷 = −146.016
𝑅𝐷 = 24.336 𝑘𝑁


∑𝑉 = 0
−2 × 4 − 18.03 sin 33.7 + 𝑉𝐷 = 0
𝑉𝐷 = 18 𝑘𝑁

, QUESTION 2
𝐴 = 150𝑐𝑚2 = 15 × 10−3 𝑚2
𝐼 = 35 000𝑐𝑚4 = 35 × 10−5 𝑚4
𝐸 = 200𝐺𝑃𝑎 = 200 × 106 𝑘𝑃𝑎




Member 1: Fixed End Moments and Reactions




2
𝑤𝐿2 12 × (√50)
𝑀𝐴𝐵 = = = 50 𝑘𝑁𝑚
12 12
𝑀𝐵𝐴 = −50 𝑘𝑁𝑚

12 × √50
𝑅𝐴 = = 42.426 𝑘𝑁
2
𝑅𝐵 = 42.426 𝑘𝑁