# Analysis of a Lifting Fixture to Hold a Steel Mandrel Horizontally from one End Support Page: 4 of 17

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Bracket for Mandrels #3 thru #8:

The maximum shear stress on the bracket due to gravity is the weight of the mandrel divided by the cross

sectional area of the bracket. The weight of mandrel #8 is 3,010 lbs. The cross sectional area of the bracket

is 6.84 inch2 producing a stress in the bracket of 440 psi.

The maximum shear stress on the bracket due to the moment of the mandrel is the web pull out force

divided by the cross sectional area of the bracket. The pullout force for mandrel #8 is 4,109 lbs and the

cross sectional area of the bracket is 3.56 inch2 producing a stress in the bracket of 1,154 psi.

All of the above calculated stresses in the brackets used to couple the mandrel to the lifting fixture are less

than the maximum allowable stress of 10,000 psi.

The Stresses in the Lifting Bracket Bolts:

Bracket for Mandrels #1 and #2:

There are four Grade 5 ANSI 7/16 inch bolts used to attach the bracket for mandrels #1 and #2.

Assuming that only one of the bolts carry load, the maximum shear stress in the bolt due to gravity is the

weight of the mandrel divided by the cross sectional area of the bolt. The weight of mandrel #2 is 790 lbs

and the cross sectional area of one bolt is 0.1063 inch2 producing a stress in the bolt of 7,432 psi.

Assuming that only one of the bolts carry the load, the maximum tensile stress in the bolt is the pull out

force divided by the cross sectional area of the bolt. The force due to the moment of mandrel #2 is 1.578 lbs

and the cross sectional area of one bolt is 0.1063 inch2 producing a stress in the bolt of 14,845 psi.

Bracket for Mandrels #3 thru #8:

There are eight Grade 5 ANSI 7/16 inch bolts used to attach the bracket for mandrels 3 thru 8.

Assuming that only one of the bolts carry load, the maximum shear stress in the bolt due to gravity is the

weight of the mandrel divided by the cross sectional area of the bolt. The weight of mandrel #8 is 3,010 lbs

and the cross sectional area of one bolt is 0.1063 inch2 producing a stress in the bolt of 28,316 psi.

Assuming that only one of the bolts carry the load, the maximum tensile stress in the bolt is the pull out

force divided by the cross sectional area of the bolt. The force due to the moment of mandrel #8 is 4,109 lbs

and the cross sectional area of one bolt is 0.1063 inch2 producing a stress in the bolt of 38,654 psi.

All of the calculated stresses in the lifting bracket bolts are less than the maximum allowable stress of

40,000 psi.

Stresses on the Forklift Supports:

The forklift supports (dwg #'s 382.1 13-MB-372481 and 3823.113-MC-372384) are used to attach the

lifting plate to the forklift. The cross sectional area of each support bar is 3.75 inch giving a shear stress

due to gravity of 3,200 psi at the forklift nameplate load.

The force on the support due to the overhanging moment is calculated. For mandrels #3 thru #8 the lifting

bracket is in line with the forklift support bracket so the pullout force calculated in Table 2 can be used as

this force. However the position of the lifting bracket for mandrels #1 and #2 is much higher than the

forklift support and so the pullout force given in Table 2 needs to be adjusted to compensate for the

difference in height. The pullout force applied to the forklift support becomes the weight of the mandrel

times half the mandrel length divided by the distance from the bottom of the mandrel to the support hook.

The adjusted force on the support bracket for mandrel #1 is 6,750 lbs and for mandrel #2 is 4,363 lbs. The

shear stress in support bracket due to the overhanging mandrel moment is the maximum force (6,750 lbs

for mandrel #1) divided by the cross-sectional area of the bracket (30 in2). The force applied to the support

bracket when lifting mandrel #1 creates a shear stress in the bracket of 225 psi.

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### Reference the current page of this Report.

Cease, H. Analysis of a Lifting Fixture to Hold a Steel Mandrel Horizontally from one End Support, report, April 7, 1999; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc843304/m1/4/: accessed October 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.