compound steel (E = 30,000 ksi) bar is subjected to the loads shown. Bar (1) has a cross-sectional area of A1 = 0.30 in.2 and a length of L1 = 115 in. Bar (2) has an area of A2 = 0.30 in.2 and a length of L2 = 130 in. Bar (3) has an area of A3 = 0.20 in.2 and a length of L3 = 35 in. The loads and angles are P = 29 kips, α = 37°, Q = 10 kips, β = 55°, and R = 14 kips. Determine the vertical deflection of end A.
compound steel (E = 30,000 ksi) bar is subjected to the loads shown. Bar (1) has a cross-sectional area of A1 = 0.30 in.2 and a length of L1 = 115 in. Bar (2) has an area of A2 = 0.30 in.2 and a length of L2 = 130 in. Bar (3) has an area of A3 = 0.20 in.2 and a length of L3 = 35 in. The loads and angles are P = 29 kips, α = 37°, Q = 10 kips, β = 55°, and R = 14 kips. Determine the vertical deflection of end A.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A compound steel (E = 30,000 ksi) bar is subjected to the loads shown. Bar (1) has a cross-sectional area of A1 = 0.30 in.2 and a length of L1 = 115 in. Bar (2) has an area of A2 = 0.30 in.2 and a length of L2 = 130 in. Bar (3) has an area of A3 = 0.20 in.2 and a length of L3 = 35 in. The loads and angles are P = 29 kips, α = 37°, Q = 10 kips, β = 55°, and R = 14 kips. Determine the vertical deflection of end A.
Consider a free body diagram that cuts through member (1) and includes the free end of the bar. Calculate the internal force and the deformation that occurs in member (1). Tension and elongation are positive, while compression is negative.
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