A jib crane is a type of crane that has a horizontal arm, called a jib, attached to a vertical column or wall. The jib can rotate to move the load in a circular motion. The load is lifted and lowered using a hoist or winch attached to the jib.
Calculating the bending stress on the column is important because it helps ensure the structural integrity and safety of the crane. Bending stress occurs when a force is applied to a beam or column, causing it to bend. If the bending stress exceeds the maximum allowable stress, the column may fail and the crane could collapse.
The bending stress on the column is affected by several factors, including the weight of the load, the length of the jib arm, the angle of the jib arm, and the material and dimensions of the column. Additionally, the design of the crane, such as the type of connection between the jib and column, can also impact the bending stress.
Bending stress on the column can be calculated using the formula sigma = My/I, where sigma is the bending stress, M is the bending moment, y is the distance from the neutral axis to the outermost fiber of the column, and I is the moment of inertia of the column cross-section. The bending moment is calculated by multiplying the load by the distance from the column to the point of support on the jib arm.
The maximum allowable bending stress for a jib crane column depends on the material and dimensions of the column. The American Institute of Steel Construction (AISC) provides guidelines for allowable bending stress based on the type of steel and the cross-sectional shape of the column. It is important to consult these guidelines and ensure that the calculated bending stress is within the allowable limits to ensure the safety and stability of the jib crane.