Structural Analysis IV
Assignment 01 Answers
Year 2025
0027 63 985 5033
,
,
, QUESTION 1
The degree of static indeterminacy, n = m + r − 2j
r = 4, m = 5, j = 4
n = 5 + 4 − 2(4) = 1
Choose member AD as redundant
Height = tan 600 = 1.732
+
∑ 𝑀𝐴 = 0:
4𝑅𝐵 + (1.732 × 35 𝑐𝑜𝑠 450 ) − (50 × 2) − (35 𝑠𝑖𝑛 450 × 3) = 0
4𝑅𝐵 + 42.865 − 100 − 74.246 = 0
4𝑅𝐵 = 131.381
𝑹𝑩 = 𝟑𝟐. 𝟖𝟓 𝒌𝑵
+
∑ 𝑀𝐵 = 0:
−4𝑅𝐴 + (50 × 2) + (35 sin 450 × 1) + (35 cos 450 × 1.732) = 0
−4𝑅𝐴 + 100 + 24.749 + 42.865 = 0
4𝑅𝐴 = 167.614
𝑹𝑨 = 𝟒𝟏. 𝟗𝟎𝟒 𝒌𝑵
Assignment 01 Answers
Year 2025
0027 63 985 5033
,
,
, QUESTION 1
The degree of static indeterminacy, n = m + r − 2j
r = 4, m = 5, j = 4
n = 5 + 4 − 2(4) = 1
Choose member AD as redundant
Height = tan 600 = 1.732
+
∑ 𝑀𝐴 = 0:
4𝑅𝐵 + (1.732 × 35 𝑐𝑜𝑠 450 ) − (50 × 2) − (35 𝑠𝑖𝑛 450 × 3) = 0
4𝑅𝐵 + 42.865 − 100 − 74.246 = 0
4𝑅𝐵 = 131.381
𝑹𝑩 = 𝟑𝟐. 𝟖𝟓 𝒌𝑵
+
∑ 𝑀𝐵 = 0:
−4𝑅𝐴 + (50 × 2) + (35 sin 450 × 1) + (35 cos 450 × 1.732) = 0
−4𝑅𝐴 + 100 + 24.749 + 42.865 = 0
4𝑅𝐴 = 167.614
𝑹𝑨 = 𝟒𝟏. 𝟗𝟎𝟒 𝒌𝑵
