What is the ratio of deformation of bar due to its own weight to the deformation due to axial load equal to weight?

Explanation: The deformation of a bar under its own weight = Wl^2 / 2E. whereas Deformation under direct load = Wl^2 / E. therefore The deformation of a bar under its own weight is half (1/2) the deformation if the same body is subjected to a direct load equal to the weight of the body.

Where is the maximum stress produced in a bar of tapering section?

Explanation: The maximum stress produced in a bar of tapering section is at smaller end. As we know , stress inversely proportional to the area . So where the area is minimum stress is maximum, so answer is smaller end.

What is the deformation per unit length?

Explanation: Deformation per unit length is known as strain. Stress is a load per unit area.

What is axially loaded members?

So an axially loaded member refers to a member who’s load is directed along the axis of that member and it’s parallel to it. And it can only be in tension or compression. And under the action of this applied load in this case P, we assume that the material is extended by an amount delta.

What is shear deformation?

Definition of shearing deformation : detrusion or deformation by which a small rectangle is changed into a parallelogram and in which deformation is measured as the total angular change in radians at each corner.

Does the value of stress in each section of composite bar is constant or not?

Does the value of stress in each section of a composite bar is constant or not? Explanation: The value of stress in every section of a composite bar is given by P/A which is it is dependent on the load applied and the cross sectional area of the section.

What is the unit of deformation?

Shear strain
Common symbols	γ or ε
SI unit	1, or radian
Derivations from other quantities	γ = τG

What is axially loaded bar?

Axially loaded bars are used in many applications, especially as members of truss structures. A prismatic bar is one whose cross section is uniform throughout its length. Suppose that such a bar with cross-sectional area A is subjected to axial loads P at the ends.

What does axially loaded mean?

Axial loading is defined as applying a force on a structure directly along an axis of the structure.

What deformation is caused by shear stress?

Shear strain occurs when the deformation of an object is response to a shear stress (i.e. parallel to a surface), and is denoted by the Greek letter gamma.

What are the factors affecting the deflection of a bar?

1. THE DEFLECTION DUE TO THE SELF WEIGHT OF BAR IS HALF OF THE DEFLECTION IF THE SAME AMOUNT OF LOAD IS ACTING EXTERNALLY 2. THE STRESS INDUCED IN THE BAR IS INDEPENDENT OF LENGTH

Why is the average load along the length of a bar?

Reason is very simple: Location of the load generated due to gravity is at the Center of Gravity of the bar which is at the middle of a uniform bar. Load due to gravity experienced by the bar at the top-most is full weight of bar, and that at the bottom-most point is equal to zero. Hence, the average load along the length of the bar = weight/2.

How does the self weight of a bar relate to y?

Therefore let us see, stress induced in the bar due to the load acting over the small strip of thickness dy towards downward direction. And from here we can easily conclude that stress induced in the bar due to the self weight of the bar will be directionally proportional to the y.

What happens when a prismatic bar is subjected to self-weight?

When a prismatic bar is hanging and subjected to self-weight then there is elongation in the beam due to the uniformly varying load i.e. weight of the beam. Let the weight per unit volume of the bar is given by “=W/AL where W is the weight of the prismatic bar and A is the area of cross section and the initial length is L.