tailieunhanh - Fundamentals of Structural Analysis Episode 2 Part 5

Tham khảo tài liệu 'fundamentals of structural analysis episode 2 part 5', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Influence Lines by S. T. Mau Ra 1 a c b d Rb a c 1 d b Vc 1 Mc a h h Vd a bd 1 Md a b d c Influence line solutions. Example 2. Construct the influence lines for Ra Rd Md Mb Vd VcR and VcL of the beam shown. a cb o d Beam with an internal hinge. 255 Influence Lines by S. T. Mau Solution. Applications of the Muller-Breslau Principle yield the following solutions. d Ra Md a d Mb d b VcL d Influence line solutions. 256 Influence Lines by S. T. Mau Influence lines for statically indeterminate beam and frames. The Muller-Breslau Principle is especially useful in sketching influence lines for a statically indeterminate beam or frame. The process is the same as that for a statically determinate structure but the precise shape cannot be obtained without further computation which is very involved. We shall demonstrate only the qualitative solution process without any computations. Example 3. Sketch the influence lines for Ra Rc Vd and Md of the beam shown. a c d b ii A Two-span beam example. Solution. The influence lines are curved because the virtual displacements must be curved to accommodate the support constraints. Ra Rc Vd Md Influence line solutions. Example 4. Sketch the influence lines for Ma of the frame shown. .