Please solve the question and show your work as well. Thanks Rigid bar ABC shown

Question

Please solve the question and show your work as well. Thanks

Rigid bar ABC shown in the figure is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of 4 mm, and it is supported by double-: pin connections at B and D. The pin at bracket A is a single-shear connection. All pins are 6 mm in diameter. Assume a = 525 mm, b = 275 mm, h - 40 mm, P = 775 N, and 0 = 50degree. Determine the following: the normal stress in rod (1) the shear stress in pin B the shear stress in pin A

Explanation / Answer

normal stress in rod 1 =[ 775sin50/ sin{tan^-1(400/525)} ] / (%u03C0*4*4*10^-6)

= (593.685 / 0.606)/(50.266*10^-6) = 979.678*10^6/50.266 = 19.49 MPa

Shear stress in pin B = 979.678 / (%u03C0*6*6*10^-6) = 97.678 * 10^6 / 113.1 = 0.864 MPa

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