Determine the displacement at B Express your answer to three significant figures

Question

Determine the displacement at B Express your answer to three significant figures and include appropriate units The assembly consists of two rigid bars that are originally horizontal. (Figure 1) They are supported by pins and 0.30-in.-diameter A-36 steel rods. A vertical load of 5 kip is applied to the bottom bar AB. For A-36 steel E 29(103) ksi. B-Value Units Submit RequestAnswer Part B Determine the displacement at C Express your answer to three significant figures and include appropriate units Submit Request Answer PartC Figure 1 of 1 Determine the displacement at E Express your answer to three significant figures and include appropriate units 1.5 t 6 ft 5p=1 Value Units 5 kip

Explanation / Answer

Force in bar BE = 5/2=2.5 kips

Force in bar CF = 2.5*2/10=0.5 kips

area of cross section of pins CF and EB = pi*0.32/4=0.0706 in2

axial stress in CF = 0.5/0.0706=7.07 ksi

strain in CF = 7.07/29000=2.439*10-4

deflection of point C = 24*2.439*10-4=0.00585 in

deflection of point E=0.00585*2/10=0.00117 in

axial stress in BE=2.5/0.0706=35.368 ksi

strain in BE=35.368/29000=0.00122

displacement of B with respect to E=0.00122*18=0.02195 in

total displacement of B=0.02195+0.00117=0.0231 in

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