Question

In the figure, the rigid member ABDE is supported at A by a single shear pin connection and at B by a tie rod (1). The tie rod is attached at B and C with double shear pin connections. The pins at A, B, and C each have an ultimate shear strength of 84 ksi, and tie rod (1) has a yield strength of 63 ksi. A concentrated load of P = 20 kips is applied perpendicular to DE, as shown. A factor of safety of 1.6 is required for all components. Assume c = 6 ft, a = 10 ft, b = 3 ft, d = 8 ft, and θ = 17^o.

Determine

(a) the minimum required diameter for the tie rod.
(b) the minimum required diameter for the pin at B.
(c) the minimum required diameter for the pin at A.

In the figure, the rigid member ABDE is supported at A by a single shear pin connection and at B by a tie rod (1). The tie rod is attached at B and C with double shear pin connections. The pins at A, B, and C each have an ultimate shear strength of 84 ksi, and tie rod (1) has a yield strength of 63 ksi. A concentrated load of P = 20 kips is applied perpendicular to DE, as shown. A factor of safety of 1.6 is required for all components. Assume c = 6 ft, a = 10 ft, b = 3 ft, d = 8 ft, and @ = 170 Determine (a) the minimum required diameter for the tie rod. (b) the minimum required diameter for the pin at B. (c) the minimum required diameter for the pin at A.

Answer 1

schulios? - tendz to 2 59038 Equations & Equilibrium 8401 EFNEO Peop 73 - Fico 159-03 tanzoo loft Efyro - p8n73 -Fi son 59.03 tyzo EMA 2O RFI Cas9.03) (10)-(Poz 73) [131851n17 ]-(08273 ) BON720 FI= p 4.434 77376 220[2.2926 5-14589 FIE 45.844 kipy substibdi into Ego And us.814 Cox 19.03 - 20693 An= 17.743 kipp 890 Aya 45.844 (sin 59.03) + 20 sint] Aya 58.434kip

Resultant pin Force at a Az Antalya 2) 17.7402468-ces) A-61.066 Lilly (as Alauble Normal strees for tie rod Jalous 2 >34.015. mini nan cross sectional area requad - 45.844 21.16429 in An고 들 i dz 1:2175 in 1 Cho Allable shear strees for pony Tullana y z 84/16 2525 tasi us guy z 0.8732link Palle 52.5 dz I 0.7455 in

(C. The pin at A is a single shead contention Auz Apn Povze ten Gute 21:1012 dzy lehetne) = 1.169 TATO dem= 1.2169m