Question

Rigid bar \(A B C\) is supported by a pin at bracket \(A\) and by tie rod (1) . Tie rod (1) has a diameter of \(9 \mathrm{~mm}\), and it is supported by double-shear pin connections at \(B\) and \(D .\) The pin at bracket \(A\) is a single-shear connection. The pin at \(B\) is \(7 \mathrm{~mm}\) in diameter. Assume \(a=520 \mathrm{~mm}, b=260 \mathrm{~mm}, h=390 \mathrm{~mm},\) and \(\theta=50^{\circ} .\) If the normal stress in tie rod (1) cannot exceed 200 MPa and the shear stress in pin \(B\) cannot exceed 120 MPa, determine the maximum load \(P_{\text {max }}\) that can be supported by the structure.

Answer 1

130mm de som man 200 MPa & Phood I mas loma "UB A 25 500 a 520mm 6 =260mm Þ Double Shear Single Shear Diameter of Pin B do -7mm In Rod « max A Prod 200xx = 12:723 KN In connection at B 3 tolt = 12000Pa Lood Pmax ax7x7x120 = 1204 mm2 9.236 KN Prod will be Minimum of both Prod = 9.236 km Prod Prod sind 690 $- tanto S20 = 36.26° -Ploso Soo Prodas do 260 K 520mm р 'pgino

EMA Praj Sin(36%)* 520 = pengo) x 520+240) Pa 9.236 x Bin3686)*520 Sinsoo x 780 Pa 4.8226 ky Hence ] Prax = 4.8226 KM