Design of Tension Members To avoid yielding: A g P u / 0.9 F y To avoid fracture: A e P u / 0.75 F...

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Design of Tension Members To avoid yielding: A g P u / 0.9 F y To avoid fracture: A e P u / 0.75 F u Or : A n P u / 0.75 F u U where P u is the sum of the factored loads.

Transcript of Design of Tension Members To avoid yielding: A g P u / 0.9 F y To avoid fracture: A e P u / 0.75 F...

Page 1: Design of Tension Members To avoid yielding: A g  P u / 0.9 F y To avoid fracture: A e  P u / 0.75 F u Or : A n  P u / 0.75 F u U where P u is the sum.

Design of Tension Members

• To avoid yielding: Ag Pu / 0.9 Fy

• To avoid fracture: Ae Pu / 0.75 Fu Or :

An Pu / 0.75 Fu U 

• where Pu is the sum of the factored loads.

Page 2: Design of Tension Members To avoid yielding: A g  P u / 0.9 F y To avoid fracture: A e  P u / 0.75 F u Or : A n  P u / 0.75 F u U where P u is the sum.

Design of Tension Members

• If the axial load in a slender tension member is removed and small transverse loads are applied, undesirable vibrations or deflections may occur. Thus AISC recommends:

• r L/300 ( not for cables or rods)• where r is the minimum radius of gyration of the

cross section and L is the length of the member. 

Page 3: Design of Tension Members To avoid yielding: A g  P u / 0.9 F y To avoid fracture: A e  P u / 0.75 F u Or : A n  P u / 0.75 F u U where P u is the sum.

Threaded Rods and Cables

• When slenderness is not a consideration, circular rods and cables are often used (hangers, suspended bridges).

• Rods are solid and cables are made from individual strands wound together.

• Threading the end of a rod reduces the cross sectional area (upset end prevents such reduction, but is expensive).

Page 4: Design of Tension Members To avoid yielding: A g  P u / 0.9 F y To avoid fracture: A e  P u / 0.75 F u Or : A n  P u / 0.75 F u U where P u is the sum.
Page 5: Design of Tension Members To avoid yielding: A g  P u / 0.9 F y To avoid fracture: A e  P u / 0.75 F u Or : A n  P u / 0.75 F u U where P u is the sum.

Threaded Rods and Cables

t Pn = 0.75 (0.75 Ab Fu)

• Ab = nominal (unthreaded) area

• It is common to use a min diameter of 5/8 in. for rods.

Page 6: Design of Tension Members To avoid yielding: A g  P u / 0.9 F y To avoid fracture: A e  P u / 0.75 F u Or : A n  P u / 0.75 F u U where P u is the sum.

Threaded Rods and Cables

• A strand consists of individual wires wound helically around a centrl core.

• A wire rope is made of several strands laid helically around a core.

Page 7: Design of Tension Members To avoid yielding: A g  P u / 0.9 F y To avoid fracture: A e  P u / 0.75 F u Or : A n  P u / 0.75 F u U where P u is the sum.

Tension Members in Roof Truss

• Trusses are used where the cost and weight of a beam could be prohibitive (long spans).

• A truss may be thought of as a deep beam with much of the web removed.

• Tension members in roof trusses include some truss members and sag rods.

Page 8: Design of Tension Members To avoid yielding: A g  P u / 0.9 F y To avoid fracture: A e  P u / 0.75 F u Or : A n  P u / 0.75 F u U where P u is the sum.

Sag Rods

• Sag rods are used to provide lateral support for the purlins (to prevent sag in direction parallel to a sloping roof due to vertical applied loads).

• They are designed to support the component of roof loads parallel to the roof.

Page 9: Design of Tension Members To avoid yielding: A g  P u / 0.9 F y To avoid fracture: A e  P u / 0.75 F u Or : A n  P u / 0.75 F u U where P u is the sum.
Page 10: Design of Tension Members To avoid yielding: A g  P u / 0.9 F y To avoid fracture: A e  P u / 0.75 F u Or : A n  P u / 0.75 F u U where P u is the sum.
Page 11: Design of Tension Members To avoid yielding: A g  P u / 0.9 F y To avoid fracture: A e  P u / 0.75 F u Or : A n  P u / 0.75 F u U where P u is the sum.

Sag Rods

• Each segment between purlins is assumed to support everything below it; thus the top rod is designed for the load on the roof area tributary to the rod, from the heel of the truss to the peak.

Page 12: Design of Tension Members To avoid yielding: A g  P u / 0.9 F y To avoid fracture: A e  P u / 0.75 F u Or : A n  P u / 0.75 F u U where P u is the sum.
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Sag Rods

• The tie rod between ridge purlins must resist the load from all of the sag rods on either side.