What do you mean by in-plane bending moments? Does it mean uni-axial bending moment? I want to differentiate between them. I am confused. Thanks in advance.
In plane bending moment means the plate bends in its own plane such as a shear wall with horizontal and vertical forces which are applied to its plane and thus produce in plane bending moments. In plane bending moments do not cause the plate to bend it a way that make a stomach for the plate.
Out of plane bending moments are those which are caused by out of plane forces such a building slab. The forces (dear, live) on the building slab are out of plane and thus they produce out of plane bending moments or in order words they make the slab concave down (stomach).
It is the classical problem of stretching–bending behaviour of a two-dimensional plate. In the out-of-plane bending ifyou apply the a load/moment perpendicular to the middle plane of the plate, it will curve and "bend out of" its original plane. Whilst in case of in-plane-bending ifyou apply a load/moment in the direction/section that lies in the plane of the plate, the plate will be much stiffer (high moment of inertia or stiffness), and the bent shape will remain in the original plane or better the plate in his plane will stretch in the plane itself.
I have a question to add....since here all explained with a slab or a wall which is only in one plane....I wonder what will be the in plane and out of plane moments and deflection profiles for an I section or T section which has members in both planes.???
If the member is bending in its own plane it is called in plane bending and if it is bending out of its plane it is called out of plane bending. You can take a notebook and apply forces vertically and laterally then you will have clear picture about it.
In plane bending moment means the plate bends in its own plane such as a shear wall with horizontal and vertical forces which are applied to its plane and thus produce in plane bending moments. In plane bending moments do not cause the plate to bend it a way that make a stomach for the plate.
Actually,
It is a classical problem of stretching bending behavior of dimensional plate. .
In plane bending moment means the plate bends in its own plane such as a shear wall with horizontal and vertical forces which are applied to its plane and thus produce in plane bending moments. In plane bending moments do not cause the plate to bend it a way that make a stomach for the plate.
Out of plane bending moments are those which are caused by out of plane forces such a building slab. The forces (dear, live) on the building slab are out of plane and thus they produce out of plane bending moments or in order words they make the slab concave down.