The rear hatch of a van [BDCF in figure part (a)] is supported by two hinges at B1 and B2 and by two struts A1B1 and A2B2 (diameter ds = 10 mm) as shown in figure part (b). The struts are supported at A1 and A2 by pins, each with diameter dp = 9 mm and passing through an eyelet of thickness t = 8 mm at the end of the strut [figure part (b)]. If a closing force P = 50 N is applied at G and the mass of the hatch Mh = 43 kg is concentrated at C:
(a) What is the force F in each strut? [Use the free-body diagram of one half of the hatch in the figure part (c)]
(b) What is the maximum permissible force in the strut, Fallow, if the allowable stresses are as follows: compressive stress in the strut, 70 MPa; shear stress in the pin, 45 MPa; and bearing stress between the pin and the end of the strut, 110 MPa.

Transcribed Image Text:

127 mm 505 mm 505 mm Bottom B1 cpart of strut 75 mm Mc d 10 mm Eyelet 10 460 mm Ax A ← Pin support に8mm