question archive The load P applied to a steel rod isdistributed to a timber support by an annular washer
The load P applied to a steel rod isdistributed to a timber support by an annular washer
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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.
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Answer:
For steel rod:
σ = 35 MPa
σ =P/A
35*106 = P/(π*0.0222/4)
P = 13.305kN
For washer:
σb = 5MPa
σb =P/(πd2-π*0.0252)/4
5*106 =13305/(πd2-π*0.0252)/4
d =0.0633m
outer diameter,d = 63.3mm
