The load P applied to a steel rod isdistributed to a timber support by an annula

Question

The load P applied to a steel rod isdistributed to a timber support by an annular washer. The diameterof the rod is 22 mm and the inner diameter of the washer is 25 mm,which is slightly larger than the diameter of the hole. Determinethe smallest allowable outer diameter d of the washer,knowing that the axial normal stress in the steel rod is 35 MPa andthat the average bearing stress between the washer and the timbermust not exceed 5 MPa.

The load P applied to a steel rod isdistributed to a timber support by an annular washer. The diameterof the rod is 22 mm and the inner diameter of the washer is 25 mm,which is slightly larger than the diameter of the hole. Determinethe smallest allowable outer diameter d of the washer,knowing that the axial normal stress in the steel rod is 35 MPa andthat the average bearing stress between the washer and the timbermust not exceed 5 MPa.

Explanation / Answer

For steel rod: = 35 MPa =P/A 35*106 = P/(*0.0222/4) P = 13.305kN For washer: b = 5MPa b =P/(d2-*0.0252)/4 5*106 =13305/(d2-*0.0252)/4 d =0.0633m outer diameter,d = 63.3mm

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