Abstract
This paper contains the first solution in finite terms of de Saint Venant’s flexure problem for a prism with cross-section of uniaxial symmetry. We take rectangular axes O (
xyz
), such that the generators of the cylindrical surface of the prism are parallel to O
z
, which passes through the centroids of the cross-sections. Let us suppose that the load is applied at the end
z
= 0 in the negative direction of the axis of
y
. Then apart from rigid body displacements, the displacements are given by
u
= - W/EI
σxyz
-
τyz
,
v
= W/EI {½
σz
(
x
2
-
y
2
) - 1/6
z
3
} +
τzx
,
w
= W/EI {
X
+ ½
yz
2
-
x
2
y
} + ½
ϕ
.
Cited by
1 articles.
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1. iii. Elasticity;Reports on Progress in Physics;1938-01-01