Question

CONFIDENTIAL c) The frame ABC carried untfirmly distrittid load of 35 İNín along AB as shown in Figure 2 Given that the allowable normal-for member BC is σ..-200 MPa and the allowable shear stress for pins isti.-80 MPa ) Calculate the internal resltant loadings at point D 司Determine the required kness of member BC ii) Calculate the required dismeter of pins at A and B (9 Marks) (2 Marks) (4 Marks) 40 mm 15m 60 35 kN/m 2.4 m Figure 2: Frame ABC

Answer 1

Given that Free body diagram of member AB: Using equilibrium equations: sigma M_t = 0 = > 2.4 times F_BC sin 60 degree - 84 times 1.2 = 0 = > F_BC = 48.5 KN rightarrow sigma Fx = 0 = > F_BC Cos 60 degree - Ax = 0 Ax = 24.25 KN + sigma F4 = 0 = > F_BC cos 60 degree - Ax = 0 Ax = 24.25 KN + uparrow sigma Fy = 0 = > F_Bc sin 60 degree - 84 + Ay = 0 = > : A_y = 42 KN Resultant reaction force at A: R_A = squareroot Ax^2 + Ay^2