The endurance limit (σe​) is the maximum stress amplitude that a material can withstand under cyclic loading without experiencing fatigue failure over an infinite number of cycles. The formula for calculating the endurance limit of a material is typically expressed as: ​​ where: σe​ = Endurance limit or fatigue limit (in pascals, Pa) σultimate​ = […]
Endurance Limit Calculator Read More »
The section modulus (S) is a measure of a beam’s resistance to bending stresses. It is defined as the ratio of the moment of inertia (I) to the maximum distance from the neutral axis (c) of the beam’s cross-section. Mathematically, it can be expressed as: ​ where: S = Section modulus (in meters cubed, m³)
Section modulus calculator Read More »
The maximum bending stress (σmax​) is the highest stress experienced by a beam’s cross-section when subjected to bending moments. It usually occurs at the top or bottom fibers of the beam depending on the bending direction. The formula for maximum bending stress in a beam under a bending moment (M) can be given as: ​
Maximum Bending Stress Calculator Read More »
Hooke’s Law for shear stress is a fundamental principle in the field of strength of materials, stating that the shear stress (Ï„) in a material is directly proportional to the shear strain (γ) experienced by the material, as long as the material remains within its elastic limit. Mathematically, Hooke’s Law for shear stress can be
Hooke’s law foe shear stress calculator Read More »
Torsional stress is the stress that develops in a material due to applied torque. It is denoted by the symbol τ (tau) and is measured in pascals (Pa) or newtons per square meter (N/m²) in SI units. The formula for calculating torsional stress τ on a solid shaft with radius r and subjected to a
Torsional Stress on a Shaft calculator Read More »
Deflection at the midpoint of a cantilever beam is the vertical displacement or bending experienced by the beam at the exact center (midpoint) of its length when subjected to an applied load or loads. The deflection at the midpoint of a cantilever beam under a point load P applied at the free end can be
Deflection at Midpoint of Cantilever Beam calculator Read More »
The deflection at the free end of a cantilever beam under a point load P applied at the free end can be calculated using the following formula: ​ where: δ = Deflection at the free end (in meters, m) P = Applied point load at the free end (in newtons, N) L = Length of
cantilever deflection at free end calculator Read More »
A distributed load in strength of materials refers to a load that is uniformly distributed over a certain length, area, or volume of a structural element. Unlike a concentrated load, which acts at a specific point, a distributed load acts continuously along a portion of the element’s length or area. For a simply supported beam
Uniformly Distributed Load calculator Read More »
The bending moment in strength of materials refers to the internal moment or torque that causes a structural element, such as a beam, to bend or undergo deformation. It is a measure of the bending effect induced by external forces or loads applied to the structure. Bending moments play a crucial role in structural analysis
Bending Moment calculator Read More »
When a point load P is applied to a beam or structure, it induces reaction forces at the supports. For a simply supported beam (supported at both ends) with a point load at the midpoint, the reaction forces at each support are equal and half of the applied load: ​ where: R = Reaction force
Reaction forces calculator Read More »
