A downward load of Q = 33 kN is applied to rigid bar ABD as shown in the sketch. Axial member CDE is subjected to a downward load of P = 27 kN at joint E plus a force at joint D from the rigid bar. The axial member has an elastic modulus of E = 69 GPa and a cross-sectional area of A1 = A2 = 145 mm2. Assume that a = 390 mm, b = 220 mm, c = 630 mm, and d = 490 mm. Determine the vertical displacement of joint E.
A downward load of Q = 33 kN is applied to rigid bar ABD as shown in the sketch. Axial member CDE is subjected to a downward load of P = 27 kN at joint E plus a force at joint D from the rigid bar. The axial member has an elastic modulus of E = 69 GPa and a cross-sectional area of A1 = A2 = 145 mm2. Assume that a = 390 mm, b = 220 mm, c = 630 mm, and d = 490 mm. Determine the vertical displacement of joint E.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A downward load of Q = 33 kN is applied to rigid bar ABD as shown in the sketch. Axial member CDE is subjected to a downward load of P = 27 kN at joint E plus a force at joint D from the rigid bar. The axial member has an elastic modulus of E = 69 GPa and a cross-sectional area of A1 = A2 = 145 mm2. Assume that a = 390 mm, b = 220 mm, c = 630 mm, and d = 490 mm. Determine the vertical displacement of joint E.
Determine the internal force and the change in length of section (1) of axial member CDE. Tension and elongation are positive. Compression is negative.
Answer:
F1 = kN
δ1 = mm
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