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SOLVED:Deflection of a Beam Under Axial Force. A uniform beam under a load and subject to a constant axial force is governed by the differential equation y^(4)(x)-k^2 y^''(x)=q(x), 0<x<L where y(x) is the deflection of the beam, L is the length of the beam, k^2 is proportional to the axial force, and q(x) is proportional to the load (see Figure 6.2). (a) Show that a general solution can be written in the form y(x)= C1 C2 x C3 e^k x C4 e^-k x (1)/(k^2) ∫q(x) x d x-(x)/(k^2) ∫q(x) d x

SOLVED:Deflection of a Beam Under Axial Force. A uniform bea…

2020年5月12日

To test the deflection of the uniform 100-kg beam, the 50-kg bo... | Filo

To test the deflection of the uniform 100-kg beam, the 50-kg bo... | Filo

The deflection of a uniform beam subject to a linearly increasing distributed load can be computed asy = (w0)/(120EIL)(-x^5 2L^2x^3 - L^4x)given that L = 600 cm, E = 50,000 kN/cm^2, I = 30,000 cm^4, and w0 = 2.5 kN/cm.Use the golden-section search to determine the point of maximum deflection with the initial guesses ofxl = 0 and xu = L. (Round the final answers to four decimal places.)The result is converging on the true minimum at x = cm where the function has a value of y = cm.

The deflection of a uniform beam subject to a linearly increasing dis…

2023年5月1日

The deflection of a uniform beam subject to a linearly increasing distributed load can be computed as y=(w0)/(120 E I L)(-x^5 2 L^2 x^3-L^4 x) Given that L=600 cm, E=50,000 kN / cm^2, I=30,000 cm^4, and w0=2.5 kN / cm, determine the point of maximum deflection (a) graphically, (b) using the golden-section search until the approximate error falls below εs=1 % with initial guesses of xl=0 and xu=L | Numerade

The deflection of a uniform beam subject to a linearly increasing dis…

2020年5月12日

SOLVED:The uniform beam shown has pinned supports at A, B, and C. Show that the deflection under the load is δ=(23 P L^3)/(1,536 E I)

SOLVED:The uniform beam shown has pinned supports at A, B, and …

2021年10月29日

SOLVED:Derive the equations of the deflection curve for a… | Numerade

SOLVED:Derive the equations of the deflection curve for a… | Numerade

2020年6月12日

A 1-m-long cantilevered beam of rectangular cross section carries a uniform load of w=15 kN / m. The design specification calls for a 5-mm maximum deflection of the end of the beam. The beam is to be constructed of fir ( E=13 GPa ). By analysis, determine at least five combinations of beam height h and beam width b that meet the specification. Use the equation ymax=(w L^4)/(8 E I) where ymax = deflection of end of beam (m) w = uniform loading (N / m) L = beam length (m) E = m

A 1-m-long cantilevered beam of rectangular cross section carries …

SOLVED:A beam with a uniform load has a sliding support at one …

2020年6月12日

SOLVED:The simply supported beam having a square cross secti…

2020年6月9日

Beam A B C is loaded by a uniform load q and point load P at joint C …

2020年6月12日

Figure P8.18 a shows a uniform beam subject to a linearly increasi…

2020年5月12日

A 10 m simply supported beam has a uniform load of 2 kN/m exten... | …

已浏览 5510 次4 个月之前

SOLVED:The cantilever beam shown in Figure 5.7 is subjected t…

2023年6月24日

SOLVED:Calculate the maximum deflection δmax of a uniformly loa…

2020年6月12日

A propped cantilever beam A B of length L, and with guided support …

2020年6月12日

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