Question

For the loading shown, determine the normal and shearing stresses at point h and point k for a member ab with a uniform rectangular cross section of 10 × 24 mm.

Answer 1

The question involves calculating normal and shearing stresses at specific points within a member. Normal stress is found using σ = F/A, while shearing stress uses τ = F'/A, needing specific forces applied at points for calculation.

Step-by-step explanation:

The question relates to the determination of normal and shearing stresses at specific points in a member with a given cross-sectional area when subjected to certain loading conditions. To find the stress at points h and k in a rectangular member with dimensions 10 × 24 mm, one would need to know the specific forces acting at or near these points.

The normal stress (typically denoted as σ) can be calculated using the formula σ = F/A, where F is the force acting perpendicular to the cross-sectional area A. To calculate shearing stress (typically denoted as τ), the formula τ = F'/A can be used, where F' is the force acting parallel to the surface area.

For example, if point h is subjected to a certain force causing compression or tension, and point k to a force causing shear, these forces would be substituted into the respective equations to determine the stresses.

However, without the specific forces or loading conditions, we cannot provide numerical answers to this question.

Answer 2

To determine the normal and shearing stresses at points h and k on a rectangular cross section, use the formulas for stress and substitute the given values into the equations.

Step-by-step explanation:

To determine the normal and shearing stresses at points h and k, we need to use the equations for stress. The normal stress is calculated using the formula normal stress = force / area. The shearing stress is calculated using the formula shearing stress = force / area. In this case, the force at point h and k is the same, so we can use the same formula. The area can be calculated by multiplying the width and height of the rectangular cross section. Substituting the given values, we can find the values of normal and shearing stresses at points h and k.