What are boundary conditions (if known) at the two ends of each of the following (homogeneous, isotropic, linearly elastic) beams (each of length L.), in terms of: displacement (u₂(x₂)), slope (u (x₁)), bending momenm (M₂(x₁) Hu(x₁)), and/or shear force (V₂(x₁) = -Hiu (x₁))? Use the coordinate system and sign convention shown in the textbook, Figure 5.16; i.e., x, goes along the span of the beam (from left to right); x₂ is positive up; x, comes out of the page (and we apply the right-hand rule, this positive bending is CCW).

What are boundary conditions (if known) at the two ends of each of the following (homogeneous, isotropic, linearly elastic) beams (each of length L.), in terms of: displacement (u₂(x₂)), slope (u (x₁)), bending momenm (M₂(x₁) Hu(x₁)), and/or shear force (V₂(x₁) = -Hiu (x₁))? Use the coordinate system and sign convention shown in the textbook, Figure 5.16; i.e., x, goes along the span of the beam (from left to right); x₂ is positive up; x, comes out of the page (and we apply the right-hand rule, this positive bending is CCW).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

What are boundary conditions (if known) at the two ends of each of the following (homogeneous, isotropic,
linearly elastic) beams (each of length L), in terms of: displacement (u₂(x,)), slope (u(x)), bending moment
(M₂(x₁) Hu(x₂)), and/or shear force (V₂(x₁) = -Hsu (x₁))? Use the coordinate system and sign
convention shown in the textbook, Figure 5.16; i.e., x, goes along the span of the beam (from left to right); x₂
is positive up: x3 comes out of the page (and we apply the right-hand rule, this positive bending is CCW).
Case
At x₁ = 0 (left end)
At x₁= L (right end)
H
40
9
a
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Mo
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