[ egin{array}{c} K_{p}=rac{Y d x}{sqrt{pi a}} int_{a}^{a+p}left{sqrt{rac{a+x}{a-x}}+sqrt{rac{a-x}{a+x}} ight} d x \ K_{p}=2 Y sqrt{rac{a+p}{pi} cos ^{-1} rac{a}{a+p}} \ K_{l}= ext { zero }=K_{l sigma}+K_{l p} end{array} ] where, [ egin{array}{l} K_{l sigma}=sigma sqrt{pi(a+p)} \ herefore cos rac{pi sigma}{2 Y}=rac{a}{a+p} end{array} ]

Kp=aYdxaa+p{axa+x+a+xax}dxKp=2Ya+pcos1a+paKI=zero=Kio+Kip where, Kl=(a+p)cos2Y=a+pa Kp=aYdxaa+p{axa+x+a+xax}dxKp=2Ya+pcos1a+paKI=zero=Kio+Kip where, Kl=(a+p)cos2Y=a+pa