Structural Analysis & Design
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The document presents an overview of support systems and beam classifications in civil engineering, detailing three types of support systems: fixed, hinge/pin, and roller. It discusses various methods for analyzing indeterminate structures and provides formulas for determining the degree of static indeterminacy (DOSI) for different structures. Examples illustrate the calculation of DOSI for frame, beam, and truss structures.
Structural Analysis & Design
- 1. Submitted To: Submitted By: Md. Yasin Md. Rifat Bin Ahmed Majumdar Lecturer,Dept. Of Civil Engineering ID: BCE 1402002207 Sonargaon University Section B3 SONARGAON UNIVERSITY
- 2. There are three types of support system.These are: 1.Fixed Support(Has 3 Reactions) 2.Hinge/Pin Support(Has 2 Reactions) 3.Roller Support(Has 1 Reactions) Beam classification based on supports: 1.Simply Supported Beam: 2.Fixed Supported Beam:
- 3. 3.Cantilever Beam: 4.Overhanging beam: 5.Continuous Beams: 6.Propped Cantilever Beam: Name of methods for the analysis of indeterminate structures: 1.Moment distribution method 2.Slope deflection method 3.Matrix method Stiffness (direct) method or displacement method Flexibility Method or force method 4.Column Analogy Method 5.The Method of Consistent Deformation
- 4. Formula for Determination of Degree of Static Indeterminacy(DOSI): o For Frame and Beam n=3m+r-3j o For Truss n=m+r-2j Here, m= number of members r=number of reaction j=number of joint Example 1: Determine DOSI for the following structure: Solution: We know, For frame structure n =3m+r-3j So now, n=3x3+4-3x4 n=9+4-12 ∴ Dosi = 1
- 5. Example 2: Determine DOSI for the following structure: Solution: We know, For frame structure n =3m+r-3j So now, n=3x6+4-3x6 n=22-18 ∴ Dosi = 4 Example 3: Determine DOSI for the following structure: Solution: We know, For beam structure n =3m+r-3j So now, n=3x1+5-3x2 n=8-6 ∴ Dosi = 2
- 6. Example 3: Determine DOSI for the following truss structure: Solution: We know, For truss structure n =m+r-2j So now, n=21+4-2x12 n=1 ∴ Dosi = 1