Worksheets22/01/2026 AE_ STRENGTH OF MATERIALS
Total questions: 10
Worksheet time: 5mins
For a beam segment with no external load, the correct shapes are:
SFD linear, BMD parabolic
SFD constant, BMD linear
SFD parabolic, BMD cubic
SFD constant, BMD constant
For a uniformly varying load (UVL): Equivalent point load equals area of the load diagram. Equivalent point load acts at mid-span. Equivalent point load acts at centroid of the load diagram. Correct option:
1 only
1 and 3 only
2 and 3 only
1, 2 and 3
Regarding determinacy of structures: Ds = R − E If Ds > 0, structure is statically indeterminate If Ds < 0, structure is unstable Correct option:
1 and 2 only
1 and 3 only
2 and 3 only
1, 2 and 3
Lower yield point is preferred for design of ductile materials because it:
Is higher than ultimate stress
Represents start of necking
Gives conservative permanent deformation limit
Occurs after fracture
For a ductile material under tensile test:
Necking starts at ultimate stress.
True stress decreases after ultimate stress.
Engineering stress decreases after ultimate stress.
Correct option?
1 and 3 only
1 only
2 only
1, 2 and 3
For isotropic, homogeneous materials: E = 2G(1 + μ) E = 3K(1 − 2μ) E, G, K and μ are independent Correct option:
1 and 2 only
1 only
2 only
1, 2 and 3
Poisson’s ratio for an incompressible material is approximately:
0
0.25
0.33
0.5
Correct option regarding Resilience and toughness are are:
Resilience = area up to elastic limit
Toughness = area up to fracture point
Brittle materials have higher toughness than ductile ones
1 and 2 only
2 only
1 only
1, 2 and 3
Cup-and-cone fracture indicates:
Brittle behavior
Ductile behavior
Elastic failure
Shear failure without plasticity
True stress differs from engineering stress because it uses:
Original length
Original area
Instantaneous area
Yield stress
