Moment-Rotation Worksheet for Semi-Rigid Connections: All values for input and output are in kips and inches. Beam Properties:

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1 Feguson, Robet Moment-Rotation Woksheet fo Semi-Rigid Connections Moment-Rotation Woksheet fo Semi-Rigid Connections: All values fo input and output ae in kips and inches. Beam Popeties: Length of Beam (in) L : 6 Modulus of Elasticity (ksi) E : 29 Moment of Inetia (in 4 ) I : 156 Depth of Beam (in) d beam : 17.7 Beam Loading Conditions: Beam_Load : Beam_Load 2 Beam Load Magnitude: Point load (kip) o Unifom load (kip-in) Load :.375 Manual Input fo Othe Beam Loading Conditions (Optional): Fixed-end Beam M FEM : Simply-Suppoted Beam Rotation (adians) SS : Beam Line Calculations Page 1/8

2 Feguson, Robet Moment-Rotation Woksheet fo Semi-Rigid Connections Fye-Mois Beam Rotation Model Use Defined Input Paametes: Connection Type: Connection_Type : Connection_Type 1 Connection Vaiables: (efe to figue fo applicable vaiable definitions, all othe vaiables emain zeo) t a :.3125 d a : 23.5 g : t c : d b : l a : All dimensions t p : d g : l t : t : d : specified in inches. Page 2/8

3 Feguson, Robet Moment-Rotation Woksheet fo Semi-Rigid Connections Connection Calculations Connection Stength Calculations Results of Fye-Mois Analysis Connection Design Values: Connection Moment Capacity (kip-in): M int Connection Maximum Rotation (adians): int Connection Design Stiffness (kip-in): R k Fye-Mois Beam Rotation Diagam.6 Rotation (adians) b ( M) c ( M) stiff ( M) M Page 3/8

4 Feguson, Robet Moment-Rotation Woksheet fo Semi-Rigid Connections Chen-Kishi Thee-Paamete Powe Model Use Defined Input Paametes: Angle Mateial Popeties: Yield Stess (ksi): F y : 36 All dimensions Modulus of Elasticity (ksi): E : 29 Distance fom Angle Heel to Cente of Bolt Holes (in): Top and Seat: g ct : 3 Web: g cw : 3 Thickness of Angle Legs (in): Top and Seat: t t :.375 Web: t w :.25 specified in kips and inches. Distance fom Angle Heel to Toe of the Fillet (in): Top and Seat: k t :.875 Web: k w :.688 Length of Angle (in): Top and Seat: l t : 7 Web: l w : 8 Fastene Nut Diamete (in): Top and Seat: W t : Web: W w : Nondimensional Paametes Stiffness and Stength Paametes Page 4/8

5 Feguson, Robet Moment-Rotation Woksheet fo Semi-Rigid Connections Single Web-Angle Connections Initial Stiffness Calculations Ultimate Moment Capacity Calculations Shape Paamete Calculations Connection Cuve and Beam Line Functions Output fo Single Web-Angle Connections: Initial Connection Stiffness, R ki (kip-in/ad): R ki R kiw Ultimate Moment Capacity, M u (kip-in): M u : M uw Shape Paamete, n: n Refeence Plastic Rotation, θ (adians):.38 : 8 Single Web-Angle Beam Rotation Cuve 6 M b 4 M( ) Rotation (adians) Page 5/8

6 Feguson, Robet Moment-Rotation Woksheet fo Semi-Rigid Connections Double Web-Angle Connections Initial Stiffness Calculations Ultimate Moment Capacity Calculations Shape Paamete Calculations Connection Cuve and Beam Line Functions Output fo Double Web-Angle Connections: Initial Connection Stiffness, R ki (kip-in/ad): R ki R kiw Ultimate Moment Capacity, M u (kip-in): M u : M uw Shape Paamete, n: n 2.72 Refeence Plastic Rotation, θ (adians):.38 : 15 Double Web-Angle Beam Rotation Cuve M b M Rotation (adians) Page 6/8

7 Feguson, Robet Moment-Rotation Woksheet fo Semi-Rigid Connections Top- and Seat-Angle Connections Initial Stiffness Calculations Ultimate Moment Capacity Calculations Shape Paamete Calculations Connection Cuve and Beam Line Functions Output fo Top- and Seat-Angle Connections: Initial Connection Stiffness, R ki (kip-in/ad): R ki R kit Ultimate Moment Capacity, M u (kip-in): M u : M ut Shape Paamete, n: n 1.45 Refeence Plastic Rotation, θ (adians): : 4 Top- and Seat-Angle Beam Rotation Cuve 3 M b M Rotation (adians) Page 7/8

8 Feguson, Robet Moment-Rotation Woksheet fo Semi-Rigid Connections Top- and Seat- with Double Web-Angle Connections Initial Stiffness Calculations Ultimate Moment Capacity Calculations Shape Paamete Calculations Connection Cuve and Beam Line Functions Output fo Top- and Seat- with Double Web-Angle Connections: Initial Connection Stiffness, R ki (kip-in/ad): R ki Ultimate Moment Capacity, M u (kip-in): M u Shape Paamete, n: n Refeence Plastic Rotation, θ (adians): Top- and Seat- with Double Web-Angle Beam Rotation Cuve 8 M b M Rotation (adians) Page 8/8

See the solution to Prob Ans. Since. (2E t + 2E c )ch - a. (s max ) t. (s max ) c = 2E c. 2E c. (s max ) c = 3M bh 2E t + 2E c. 2E t. h c.

See the solution to Prob Ans. Since. (2E t + 2E c )ch - a. (s max ) t. (s max ) c = 2E c. 2E c. (s max ) c = 3M bh 2E t + 2E c. 2E t. h c. *6 108. The beam has a ectangula coss section and is subjected to a bending moment. f the mateial fom which it is made has a diffeent modulus of elasticity fo tension and compession as shown, detemine

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