WorksheetsSTRENGTH OF MATERIAL
Total questions: 20
Worksheet time: 15mins
Name
Class
Date
1.
A cylindrical bar of 1 m length deforms by 1 mm under axial load. What is the strain in the bar?
a)
0.11
b)
0.001
c)
0.01
d)
0.5
2.
A wire of diameter 1 mm is bent into a circular arc of radius 1 m. If Young’s modulus is 100 GPa, what is the maximum tensile stress?
a)
0.05 GPa
b)
0.1 GPa
c)
0.25 GPa
d)
0.5 GPa
3.
If a cantilever of length L carries a UDL (w) from free end to fixed end, maximum bending moment at fixed end is:
a)
wL
b)
wL²/2
c)
wL²/3
d)
wL²/6
4.
A beam has breadth b and depth d. Its moment of inertia is:
a)
bd²/6
b)
bd²/8
c)
bd³/12
d)
bd³/8
5.
A rectangular beam cut from circular log (diameter D). What is the depth of strongest beam?
a)
0.5D
b)
0.707D
c)
0.816D
d)
0.75D
6.
If a point load W is applied at free end of cantilever of length L, what is the maximum bending moment?
a)
WL
b)
WL/2
c)
WL²/2
d)
WL²
7.
A beam has cross-section with I = 8×10⁶ mm⁴, y = 100 mm, M = 4 kNm. What is bending stress?
a)
5 MPa
b)
50 MPa
c)
0.5 MPa
d)
10 MPa
8.
If section modulus Z = 2×10⁶ mm³ and bending moment is 4×10⁶ Nmm, what is maximum stress?
a)
1 MPa
b)
2 MPa
c)
3 MPa
d)
4 MPa
9.
A mild steel specimen of length 300 mm elongates by 1.5 mm under a load. What is the strain?
a)
0.005
b)
0.001
c)
0.0005
d)
0.003
10.
In a beam, section modulus increases. What happens to bending stress for same moment?
a)
Increases
b)
Decreases
c)
Remains same
d)
Zero
11.
A UDL of 10 kN/m is acting over 5 m span of simply supported beam. What is maximum BM?
a)
50 kNm
b)
31.25 kNm
c)
12.5 kNm
d)
62.5 kNm
12.
For a composite bar of copper and steel, if α_c > α_s and temperature increases, stress in copper is:
a)
Tensile
b)
Compressive
c)
Zero
d)
None
13.
What is the SI unit of Young’s modulus?
a)
Pa
b)
N/m²
c)
Nm
d)
Both A and B
14.
A beam of span 6 m carries central point load of 12 kN. Max BM is:
a)
36 kNm
b)
18 kNm
c)
24 kNm
d)
12 kNm
15.
If Poisson’s ratio is 0.3 and E = 200 GPa, find G (shear modulus):
a)
80 GPa
b)
76.9 GPa
c)
85 GPa
d)
90 GPa
16.
What is the relation between stress (σ), strain (ε), and Young’s modulus (E)?
a)
σ = Eε
b)
σ = ε/E
c)
E = σε
d)
ε = σE
17.
A bar of cross-sectional area 500 mm² carries axial load 1000 N. Find stress.
a)
2 MPa
b)
1 MPa
c)
0.5 MPa
d)
4 MPa
18.
Bending stress at neutral axis is:
a)
Maximum
b)
Minimum
c)
Zero
d)
Infinity
19.
Which shape has maximum shear stress at 1/2 depth from NA?
a)
Circular
b)
Diamond
c)
Triangular
d)
Rectangular
20.
If bending moment is constant across length, what is shear force?
a)
Zero
b)
Max
c)
Minimum
d)
Infinite
100 %
