Quiz: Strength of Materials | Strength of Materials with Python

1

A steel rod with diameter 20mm is subjected to a tensile force of 50 kN. What is the normal stress in the rod?

127.3 MPa 159.2 MPa 200.0 MPa 250.0 MPa

2

What is the relationship between Young's modulus (E), shear modulus (G), and Poisson's ratio (ν)?

G = E / (1 + ν) G = E × (1 + ν) G = E / (2(1 + ν)) G = 2E / (1 + ν)

3

In Mohr's Circle, what does the radius of the circle represent?

The average normal stress The maximum principal stress The maximum shear stress The minimum principal stress

4

For a simply supported beam with a uniformly distributed load w over span L, where does the maximum bending moment occur?

At the supports At L/4 from either support At the center (L/2) At L/3 from either support

5

What is the flexure formula for bending stress?

σ = P/A σ = Mc/I σ = Tr/J σ = VQ/Ib

6

In torsion of a circular shaft, how does shear stress vary with radius?

Constant throughout Maximum at center, zero at surface Zero at center, maximum at surface Parabolic distribution

7

What is the effective length factor K for a column fixed at both ends?

K = 2.0 K = 1.0 K = 0.7 K = 0.5

8

The von Mises criterion is most appropriate for predicting failure in:

Brittle materials like cast iron Ductile materials like steel Composite materials Rubber and elastomers

9

According to Castigliano's first theorem, the partial derivative of strain energy with respect to a force gives:

The reaction force The displacement at that point The bending moment The shear force

10

For a beam with rectangular cross-section (width b, height h), what is the moment of inertia about the horizontal centroidal axis?

I = bh³/12 I = bh²/12 I = b³h/12 I = bh³/6