220F09_indeterminate_beams

220F09_indeterminate_beams - Section: __________ Problem #3...

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Name: _____________________________ Section: __________ Problem #1 (25 points): The beam ABCD supports a concentrated force (F = 36 kN) and a uniform distributed load (q = 3 kN/m) at the locations shown. Point A is a roller, and point D is a fixed support. Assume E = 200 GPa and I = 350 × 10 6 mm 4 . Determine: (a) An elastic curve equation valid for the entire beam. Explicitly list the boundary conditions and calculate values for C 1 and C 2 . (b) The reactions at supports A and D.
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Name: _____________________________ Section: __________ Problem #2 (25 points): The beam ABC supports a concentrated force (F = 12 kip) and a uniform distributed load (q = 500 lb/ft) at the locations shown. Point B is a roller, and point A is a fixed support. Assume E = 30 × 10 6 psi and I = 800 in 4 . Determine: (a) An elastic curve equation valid for the entire beam. Explicitly list the boundary conditions and calculate values for C 1 and C 2 . (b) The reactions at supports A and B. 500 lb/ft 12 kip 5 ft 20 ft
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Name: _____________________________
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Unformatted text preview: Section: __________ Problem #3 (25 points): The beam ABC is subjected to a uniform distributed load (w = 1 kN/m) along the entire length. Roller supports exist at A and B, and a pinned support is at C. The length of the beam (L) is 12 m, the elastic modulus (E) is 72 GPa, and the moment of inertia (I) is 125 10 6 mm 4 . Determine the reactions at supports A, B, and C. Note: Use any method of your choice for solving this problem . Name: _____________________________ Section: __________ Problem #4 (25 points): The beam ABC is subjected to a concentrated moment (M O ) at end A. Roller supports exist at A and C, and a pinned support is at B. Assume the length of the beam (L), the elastic modulus (E), and the moment of inertia (I) are known. Determine the reactions at supports A, B, and C in terms of the following quantities: M O , L, E, and I. Note: Use any method of your choice for solving this problem ....
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220F09_indeterminate_beams - Section: __________ Problem #3...

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