Shear strength is a measure of how strong something is when it's being pulled or pushed sideways instead of straight up and down.
Think about a block of cheese. When you cut it with a knife, you are applying a shear force to the cheese. The shear strength of the cheese is the amount of force it can hold up against before it breaks or crumbles.
Now, let's talk about a discontinuity. A discontinuity is a break, gap, or separation in a material. This could be a crack, a fault, a joint, or any other type of opening. Discontinuities can weaken the material around them because they disrupt the structure and create a point of weakness.
When a shear force is applied to a material that has a discontinuity, it can cause the material to break or shear along that point of weakness. So the shear strength of a material with a discontinuity is lower than the shear strength of a material without one.
For example, imagine a piece of paper that has a tear in it. If you try to tear the paper in half, it will likely tear along the tear instead of in a straight line. The tear is a discontinuity that weakens the paper's shear strength.
In summary, shear strength is how strong something is when it's being pulled or pushed sideways, and a discontinuity is a break or opening in a material. When a shear force is applied to a material with a discontinuity, it can cause the material to break or shear along that point of weakness, making the shear strength lower.