The cantilever beam shown below supports a single concentrated load as shown below. The cross section of the beam is rectangular with a base of 4 inches and height of 8 inches. The beam is made of steel, E = 29,000 ksi. For each equation, you must solve for constants of integration. (a) Derive the bending moment equation, M(x) (b) Derive the slope equation, (x) (c) Derive the deflection equation, A(z) (d) Sketch the general shape of the deflection line and de- termine the maximum deflection Amar of the beam 10 ft 15 ki Beam's x-section 4 in 8 in

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The cantilever beam shown below supports a single
concentrated load as shown below. The cross section of the
beam is rectangular with a base of 4 inches and height of 8
inches. The beam is made of steel, E = 29,000 ksi. For each
equation, you must solve for constants of integration.
(a) Derive the bending moment equation, M(x)
(b) Derive the slope equation, (x)
(c) Derive the deflection equation, A(z)
(d) Sketch the general shape of the deflection line and de-
termine the maximum deflection Amar of the beam
10 ft
15 k
Beam's
x-section
4 in
8 in
Transcribed Image Text:The cantilever beam shown below supports a single concentrated load as shown below. The cross section of the beam is rectangular with a base of 4 inches and height of 8 inches. The beam is made of steel, E = 29,000 ksi. For each equation, you must solve for constants of integration. (a) Derive the bending moment equation, M(x) (b) Derive the slope equation, (x) (c) Derive the deflection equation, A(z) (d) Sketch the general shape of the deflection line and de- termine the maximum deflection Amar of the beam 10 ft 15 k Beam's x-section 4 in 8 in
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