Which of the following beams/trusses is classified as statically determinate structure?

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DDA JE Civil 01 Apr 2023 Shift 3 Official Paper
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  1. F2 Vinanti Engineering 22.09.23 D13
  2. F2 Vinanti Engineering 22.09.23 D14
  3. F2 Vinanti Engineering 22.09.23 D15
  4. F2 Vinanti Engineering 22.09.23 D16

Answer (Detailed Solution Below)

Option 1 : F2 Vinanti Engineering 22.09.23 D13
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Explanation:

1) Cantilever beam

F2 Vinanti Engineering 22.09.23 D13

Ds = 3 - 3 = 0 So, the given beam is determinate

2) Propped Cantilever beam

F1 Abhishek M 31.3.21 Pallavi D3

DS = 4 – 3 = 1

Statically indeterminate

3) continuous beam

F2 Vinanti Engineering 22.09.23 D15

DS = 3 × C - R = 3 × 2 – 4 = 2

Where C is the number of cuts required to make the structure free and R is the number of restrained required

Statically indeterminate

4) Truss

F2 Vinanti Engineering 22.09.23 D16

DS = m + r - 2j = 6 + 3 - 2 × 4 = 1

Where m is the number of members, r is the number of reaction and j is the number of joint

Statically indeterminate 

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