Question

Beam AB is supported as shown in the figure. Tie rod (1) is attached at B and C with double shear pin connections, while the pin at A is attached with a single shear connection. The pins at A, B, and C each have an ultimate shear strength of 52 ksi, and tie rod (1) has a yield strength of 30 ksi. A concentrated load of P 26 kips the beam as shown. A factor safety of 2.5 required for all applied ft, and b 7.9 ft. Determine: (a) the minimum required diameter for tie rod (1) (b) the minimum required diameter for the double shear pins at B and C (c) the minimum required diameter for the single shear pin at A (1) a

Answer 1

52 ks 2.5 FoS= 7.3 B Ax 7.9ft ト-4.3 Ay 26 kps body dragram of beam Free ×/2.2-Tメ/2.2 x6 4,2)F ΣMA=O > 26 x7,9-x3 14. 217 O Teo 17. 9968 3 kips Tension o cable = ield strength terod 30ks = 30ksi 18 kips 30 ksi AYea O 874 f. Yeguired iameter for The miofmum tierod ) O.874 in shear strength of Pins at A, 3C (b) uttimate 5 2 ks てUBJ てJA) てve - safety Factor af 2 5

allowable shear stress in pin B and Pinc 20.gks 2 FOS 2 Callas 2.5 The pios are in double shearConnectton 18 P Tallous 2x A 2A ekips) The shear force at pin B ard 20.8 2 A -o.551 fn x20.8 O. 742 n The minimum yeguired diameter for the double shear pins af Band o z o.74-2in. acton CC)he pin A îs fn Single sheor Y allo 20.8 kips 208 For the bea m AB - EF EFyoTDyAy Ay 18x 7.3 skfps +26 IG 76 4.217 A 1545 13x 12.2 1p217 Ax E Fxo

shear force at pn AAx+ Ay PA 5 4516762 22 79 kips 2o.8 22.79 A18 fn TU The minimum reguired diameter PoY the Sile shear n at A= 189n The minimum reguired dameter for the Yod O.874in b The minimum requâred diameter the dbuble shear pins at B and O742i0 = reguired dtameter for the C) The fnimum Single sheav pin at A: 8