Question

Derive the equation of the deflection curve for a cantilever beam AB supporting a load "P" at distance "L/2" from the free end (see figure). P A B x -b- L/2 L Determine thickness "t" of the cross-section, the stress and the strain of a aluminum beam (E=70 GPa), if b=0.08 m, the maximum deflection is 17mm, the span length L=3.0 m, and the intensity of the load is 5 kN. (30)

          Derive the equation of the deflection curve for a cantilever beam AB
supporting a load "P" at distance "L/2" from the free end (see figure).
P
A
B
x
-b-
L/2
L
Determine thickness "t" of the cross-section, the stress and the strain
of a aluminum beam (E=70 GPa), if b=0.08 m, the maximum
deflection is 17mm, the span length L=3.0 m, and the intensity of the
load is 5 kN. (30)

Derive the equation of the deflection curve for a cantilever beam AB
supporting a load "P" at distance "L/2" from the free end (see figure).
P
A
B
x
-b-
L/2
L
Determine thickness "t" of the cross-section, the stress and the strain
of a aluminum beam (E=70 GPa), if b=0.08 m, the maximum
deflection is 17mm, the span length L=3.0 m, and the intensity of the
load is 5 kN. (30)

Added by Montserrat T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Paul Gabriel

Step 1

- The point load P is located a distance a from the fixed end. Given "at distance L/2 from the free end", a = L - L/2 = L/2. - For 0 ≤ x ≤ a (between fixed end and load) the internal bending moment M(x) is due to the load at x = a. For a ≤ x ≤ L (between load and Show more…

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Derive the eguation of the deflection curve for a cantilever beam AB supporting a load "p" at distance "L/2" from the free end (see figure) A B Z/7 Determine thickness "t" of the cross-section, the stress and the strain of a aluminum beam (E=70 GPa), if b=0.08 m, the maximum deflection is 17mm, the span length L=3.0 m, and the intensity of the load is 5 kN. (30)