Question

2. The load on a bolt consists of an axial pull of 10 kN together with a transverse shear force of 5 kN. Find the diameter of bolt required according to
1. Maximum principal stress theory; 2. Maximum shear stress theory Take permissible tensile stress at elastic limit = 100 MPa and Poisson’s ratio = 0.3. what is the diameter?​

Answer 1

Explanation:

The load on a bolt consists of an axial pull of 10 kN together with a transverse shear force of 5 kN. Find the diameter of bolt required according to

1. Maximum principal stress theory; 2. Maximum shear stress theory Take permissible tensile stress at elastic limit = 100 MPa and Poisson’s ratio = 0.3. what is the diameter?

Answer 2

1.) d = sqrt(10 * 10^3 * l / (π * 100 * 10^6)) = sqrt(0.1 * l) = 0.316 * sqrt(l)

for the maximum principal stress theory.

2.) d = sqrt(16 * 5 * 10^3 * l / (π * 100 * 10^6)) = sqrt(0.8 * l) = 0.894 * sqrt(l)

for the maximum shear stress theory.

To find the diameter of a bolt required according to the maximum principal stress theory and maximum shear stress theory, we need to consider the load on the bolt, the permissible tensile stress at the elastic limit, and Poisson's ratio.

According to the maximum principal stress theory, the diameter of the bolt can be found using the formula d = sqrt(F * l / (π * σ_perm)), where F is the axial pull, l is the length of the bolt, σ_perm is the permissible tensile stress, and d is the diameter of the bolt.

For the maximum shear stress theory, the diameter of the bolt can be found using the formula

d = sqrt(16 * F * l / (π * τ_perm)),

where F is the transverse shear force, l is the length of the bolt, τ_perm is the permissible shear stress, and d is the diameter of the bolt.

Substituting the given values, we get that

• d = sqrt(10 * 10^3 * l / (π * 100 * 10^6)) = sqrt(0.1 * l) = 0.316 * sqrt(l)

for the maximum principal stress theory.

• d = sqrt(16 * 5 * 10^3 * l / (π * 100 * 10^6)) = sqrt(0.8 * l) = 0.894 * sqrt(l)

for the maximum shear stress theory.

Therefore, the diameter of the bolt required is dependent on the length of the bolt, the permissible tensile stress, and the permissible shear stress.

For more such questions on Maximum shear stress theory: https://brainly.in/question/26907505

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