Engineering Questions with Answers - Multiple Choice Questions

1 - Question

The uniformly varying load is __________ in a beam.
c) equal load at every point
d) equal load only at supports

Explanation: The uniformly varying load is the rate of loading which increases linearly from zero at one end of the support. 2 - Question

The triangular load is also known as ___________

Explanation: The triangular load is also known as uniformly varying load. The uniformly varying load is the rate of loading which increases linearly from zero at one end of the support. 3 - Question

For any position of point P subtending angle α with AB, the vertical stress is given by___________ a) σz=qaπ[xα(xα)]
b) σz=qaπ
c) σz=qaπ[xαaz(xα)2+z2(xα)]
d) σz=[xαaz(xα)2+z2(xα)]

Explanation: For any position of point P subtending angle α with AB, the vertical stress is given by,
σz=qaπ[xαaz(xα)2+z2(xα)]
Where, σz= vertical stress
x=distance from the support A
z=depth from the ground surface

4 - Question

For point P under the support A, the vertical stress is given by __________ a) σz=qaπ[xα(xα)]
b) σz=qaπ
c) σz=qπ[aza2+z2]
d) σz=[xαaz(xα)2+z2(xα)]

Explanation: For point P under the support A, the vertical stress is given by,
σz=qπsin2αA2
∴ σz=qπ[aza2+z2].

5 - Question

For point P under the support B, the vertical stress is given by __________ a) σz=qaπ[xα(xα)]
b) σz=qπαB
c) σz=qπ[aza2+z2]
d) σz=[xαBaz(xαB)2+z2(xαB)]

Explanation: For point P under the support B, the vertical stress is given by,
σz=qπαB
Where α_B=angle subtended from point P below the support B to the line AB

6 - Question

For a linearly variable infinite load, for a point P, the vertical stress σz is _________ a) σz=qaπ[xα+z]
b) σz=qaπ
c) σz=qπ[aza2+z2]
d) σz=[xαaz(xα)2+z2(xα)]

Explanation: let the load intensity be q at a horizontal distance a and the load intensity at distance x is qx=q*x/a.
∴ for any point P the load is given by, σz=qaπ[xα+z].

7 - Question

For a symmetrically distributed triangular load, under the centre of the triangular load, the vertical stress at any point at a depth z is given by ___________ a) σz=qaπ[α1+α2]
b) σz=qπ[α1+α2]
c) σz=qπ[aza2+z2]
d) σz=qπ[α1α2]

Explanation: Considering two triangular loads of AOC and OCB separately and adding them we get,
σz1=qπα1 for triangular load of AOC
σz2=qπα2 for triangular load of OCB
∴ σz=σz1+σz2
∴ σz=qπ[α1+α2].

8 - Question

For a symmetrically distributed triangular load, the shear stress τxz at any point at a depth z is given by ___________ a) τxz=qzaπ[α1α2]
b) τxz=qπ[α1+α2]
c) τxz=qπ[aza2+z2]
d) τxz=qπ[α1α2]

Explanation: For a symmetrically distributed triangular load, the shear stress τxz at any point at a depth z is given by,
τxz=qzaπ[α1α2]where α1 and α2 are angles subtended by the point P at AO and BO respectively
z=depth.

9 - Question

For a triangular and uniformly distributed semi-infinite loads, the shear stress τxz in the plane xz is ___________ a) τxz=qzaπα
b) τxz=qπα
c) τxz=qπ[aza2+z2]
d) τxz=qπz

Explanation: For a triangular and uniformly distributed semi-infinite loads, the shear stress τxz in the plane xz is given by,
τxz=qzaπ α where α is the angle subtended by point P on OA,
z=depth

10 - Question

For a load intensity of q=20kN/m, find the shear stress τxz at a depth 5m from the given diagram. a) -5.2 kN/m2
b) -6.2 kN/m2
c) -7.2 kN/m2
d) -8.2 kN/m2

Explanation: Given,
a=2.68m
z=5m
∴ τxz=qzaπα
τxz=2052.68π0.523
τxz=-6.2 kN/m2.

11 - Question

For a triangular and uniformly distributed semi-infinite loads, the vertical stress σz is given by ___________ a) σz=qaπ[xα+z]
b) σz=qaπ(aβ+xα)
c) σz=qπ[aza2+z2]
d) σz=[xαaz(xα)2+z2(xα)]

Explanation: For a triangular and uniformly distributed semi-infinite loads, the vertical stress σz is given by,
σz=qaπ(aβ+xα) where α is the angle subtended by point P on OA,
β= angle at point P between horizontal line and PA

12 - Question

For a load intensity of q=20kN/m, find the vertical stress σz from the given diagram. a) 5.62 kN/m2
b) 6.23 kN/m2
c) 13.33 kN/m2
d) 8.32 kN/m2

Explanation: Given,
a=2.68m
the vertical stress σz is,
σz=qaπ(aβ+xα)
σz=202.68π(2.681.047+2.681.047)
∴ σz=13.33 kN/m2.

13 - Question

Trapezoidal load is encountered in earth fills.
a) True
b) False

14 - Question

The maximum shear stress is the difference between major and minor principal stresses.
a) True
b) False

Explanation: The maximum shear stress is half the difference between major and minor principal stresses.
τmax=12(σ1σ2).

15 - Question

The greatest value of maximum shear stress τmax occurs when angle θ is _________
a) π
b) π/2
c) π/3
d) π/4