Horizontal Shear Stress in Beam Lecture Number 06

Horizontal Shear Stress in Beam Lecture Number - 06 D. B. Raut Mechanical Engineering SINHGAD COLLEGE OF ENGG , Vadgaon Strength of Materials

Shear stress in beam: Numerical • Beam AB is made of three planks glued together and is subjected in its plane of symmetry to the loading shown. If width of the each glued joint is 20 mm determine average shearing stress in each joint at section n-n. The centroid of the section is shown in the diagram and I=8. 63× 10 -6 m 4 • Solution: As loading is symmetric reaction at each end is half of the total load i. e. 1. 5 k. N. The vertical shear stress at n-n is given by, Strength of Materials

Shear stress in beam: Numerical Strength of Materials

Shear stress in beam: Numerical • Shearing stress at top joint (Joint a) is given by Strength of Materials

Shear stress in beam: Numerical • Thus shearing stress at top joint is 725 k. Pa Strength of Materials

Shear stress in beam: Numerical • Shearing stress at bottom joint (Joint b) is given by Strength of Materials

Shear stress in beam: Numerical • Thus shearing stress at bottom joint is 608 k. Pa Strength of Materials

Shear stress in beam: Numerical • For the loading as shown in the diagram find the max. value of load P if the allowable stress in bending and shear are 100 MPa and 10 MPa respectively • Solution: Support reactions Strength of Materials

Shear stress in beam: Numerical • Shear force and bending moment diagrams are shown in the diagram Strength of Materials

Shear stress in beam: Numerical • Design for shear Strength of Materials

Shear stress in beam: Numerical • Design for bending • Therefore, safe load is minimum of maximum load for bending and maximum load for shear which is 10. 53 k. N Strength of Materials