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When an axial load is applied to the ends of the bar shown in the figure, the total elongation of the bar between joints A and C is 0.12 in. In segment (2), the normal strain is measured as 1,250 μin./in. Assume L₁ = 30 in. and L₂ = 79 in. Determine (a) the elongation of segment (2). (b) the normal strain in segment (1) of the bar. P Answers: (a) in.8₂ (b) ₁ = = (1) L₁ 1 1 B (2) L2 in. uin./in. C P

When an axial load is applied to the ends of the bar shown in the figure, the total elongation of the bar between joints A and C is 0.12 in. In segment (2), the normal strain is measured as 1,250 μin./in. Assume L₁ = 30 in. and L₂ = 79 in. Determine (a) the elongation of segment (2). (b) the normal strain in segment (1) of the bar. P Answers: (a) in.8₂ (b) ₁ = = (1) L₁ 1 1 B (2) L2 in. uin./in. C P

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### Problem Description When an axial load is applied to the ends of the bar shown in the figure, the total elongation of the bar between joints A and C is 0.12 in. In segment (2), the normal strain is measured as 1,250 µin./in. Assume \( L_1 = 30 \) in. and \( L_2 = 79 \) in. Determine: (a) The elongation of segment (2). (b) The normal strain in segment (1) of the bar. ### Diagram Description A horizontal bar is depicted subjected to an axial load \( P \) at each end. The bar is divided into two segments: - **Segment (1):** Length \( L_1 = 30 \) in. - **Segment (2):** Length \( L_2 = 79 \) in. The bar extends from point A to point C, passing through point B (the junction between segments (1) and (2)). ### Given Data - Total elongation between points A and C: \( \delta_{total} = 0.12 \) in. - Normal strain in segment (2): \( \epsilon_2 = 1,250 \) µin./in. - Length of segment (1): \( L_1 = 30 \) in. - Length of segment (2): \( L_2 = 79 \) in. ### Determine (a) The elongation of segment (2), \( \delta_2 \). (b) The normal strain in segment (1), \( \epsilon_1 \). ### Answers (a) \( \delta_2 = 0.09875 \) in. (b) \( \epsilon_1 = 708.33 \) µin./in.
Transcribed Image Text:### Problem Description When an axial load is applied to the ends of the bar shown in the figure, the total elongation of the bar between joints A and C is 0.12 in. In segment (2), the normal strain is measured as 1,250 µin./in. Assume \( L_1 = 30 \) in. and \( L_2 = 79 \) in. Determine: (a) The elongation of segment (2). (b) The normal strain in segment (1) of the bar. ### Diagram Description A horizontal bar is depicted subjected to an axial load \( P \) at each end. The bar is divided into two segments: - **Segment (1):** Length \( L_1 = 30 \) in. - **Segment (2):** Length \( L_2 = 79 \) in. The bar extends from point A to point C, passing through point B (the junction between segments (1) and (2)). ### Given Data - Total elongation between points A and C: \( \delta_{total} = 0.12 \) in. - Normal strain in segment (2): \( \epsilon_2 = 1,250 \) µin./in. - Length of segment (1): \( L_1 = 30 \) in. - Length of segment (2): \( L_2 = 79 \) in. ### Determine (a) The elongation of segment (2), \( \delta_2 \). (b) The normal strain in segment (1), \( \epsilon_1 \). ### Answers (a) \( \delta_2 = 0.09875 \) in. (b) \( \epsilon_1 = 708.33 \) µin./in.
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