Combined Shear and Tensile Loading on Steel Bolt

[Soilrocks1]

Hi all,

Working on a rock bolt design and am given the liberty to draft up a procedure for future use. I'm checking the combined shear/tensile loading condition using the equation ((Fs/fs)^2+(Ft/ft)^2)^0.5 <= 1.0 [F=force, f = factored resistance). Could someone break down the mechanics of materials here? I'm assuming the above equation can be related to a Mohr Circle/Von Mises type criterion but I'm having a hard time breaking it down to its roots.

Thanks in Advance.

 

[rb1957]

"factored resistance" = "allowable" ?


"Hoffen wir mal, dass alles gut geht !"
General Paulus, Nov 1942, outside Stalingrad after the launch of Operation Uranus.

 

[Soilrocks1]

Yup! Meant allowable, my bad.

 

[SWComposites]

its an assumed interaction formula; been used for a very long time; might be validated by some very old test data, somewhere, deep in the historical archives .....

 

[HTURKAK]

This formula is interaction curve for the fasteners are loaded for shear and tension.

When you take the square of both sides ;

(Fs/fs)^2+(Ft/ft)^2 < 1.0

You will get the formula of circular interaction curve..

The following page from SEFI forum ..








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[driftLimiter]

AISC Commentary on Section J3.7 references (Kulak et al., 1987) for the elliptical relationship between tensile and shear stress. The equivalent straight lines that AISC uses are referenced to (Carter et al., 1997).