A vertical bar consists of two prismatic segments A and A with cross-sectional areas of 30cm...

 

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A vertical bar consists of two prismatic segments A₁ and A₂ with cross-sectional areas of 30cm² and 25cm², respectively. Two segments are made of different material and have different density and modulus elasticity. Segment A₁ is made of aluminum, where density of aluminum is daluminum = 0.0265 and the modulus elasticity is Ealuminum = 70 GPa; while, segment A₂ is N cm² made of steel, where density of steel is dsteel = 0.0772- and the modulus elasticity is = Esteel = 200 GPa. The vertical bar is subjected to three forces: Pg = 150 N ; Pc = 250 N ; Pp 100 N. The weight of the bar should be considered. Please answer in N and mm, and answers, in (b), (c), and (d) should be expressed in scientific notation (). (a) Calculate the reaction force at point A. (5%) (b) Calculate the displacement of segment AB. (c) Calculate the displacement of segment BD. = 30cm² A A₁ d = 0.0265 N/cm³ E = 70GPa = 25cm² B A₂ d = 0.0772/cm³ E = 70GPa C D PB 1 Pc N cm3 PD (10%) (10%) 50 cm 25 cm 25 cm A vertical bar consists of two prismatic segments A₁ and A₂ with cross-sectional areas of 30cm² and 25cm², respectively. Two segments are made of different material and have different density and modulus elasticity. Segment A₁ is made of aluminum, where density of aluminum is daluminum = 0.0265 and the modulus elasticity is Ealuminum = 70 GPa; while, segment A₂ is N cm² made of steel, where density of steel is dsteel = 0.0772- and the modulus elasticity is = Esteel = 200 GPa. The vertical bar is subjected to three forces: Pg = 150 N ; Pc = 250 N ; Pp 100 N. The weight of the bar should be considered. Please answer in N and mm, and answers, in (b), (c), and (d) should be expressed in scientific notation (). (a) Calculate the reaction force at point A. (5%) (b) Calculate the displacement of segment AB. (c) Calculate the displacement of segment BD. = 30cm² A A₁ d = 0.0265 N/cm³ E = 70GPa = 25cm² B A₂ d = 0.0772/cm³ E = 70GPa C D PB 1 Pc N cm3 PD (10%) (10%) 50 cm 25 cm 25 cm

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ANSWER a The reaction force at point A can be calculated by summing the forces acting on segment A The forces acting on segment A are the weight of se... View the full answer