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ESE CE: Solid Mechanics Champion Quiz 2
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Question 1
A mild steel bar of 4m length and having square cross-section 40 mm x 40 mm long. It is subjected to a longitudinal tensile stress of 440 N/mm2 and lateral compressive stress of 220 N/mm2 in the perpendicular direction.
Given: E= 2
105 N/mm2, 
= 0.3.
What is the approximate elongation of the bar in the longitudinal direction?
Given: E= 2
105 N/mm2, = 0.3. What is the approximate elongation of the bar in the longitudinal direction?
Question 2
Match List-| (Loading Condition) with List-|| (Maximum Slope) and select the answer using the codes given below the lists (E = Modulus of elasticity, I = Area moment of inertia):
List-|
A) Cantilever with concentrated load W at free end
B) Cantilever with udl (W/unit length) across the complete span (W = wL)
C) Simply supported beam with concentrated load W at the centre
D) Simply supported beam with udl (w/unit length) across complete span (W = wL)
List-||
1) 
2) 
3) 
4) 
Question 3
A simply supported beam AB carries external moment M as shown in the figure. Which one of the following statements is correct regarding its SFD?
Question 4
What is the ratio of maximum shear stress to average shear stress for a circular section ?
Question 5
A rectangular beam of width 100 mm is subjected to a maximum shear force of 60 kN. The corresponding maximum shear stress in the cross-section is 4 N/mm2. The depth of the beam should be
Question 6
If the maximum principal stress for an element under bi-axial stress situation is 100 MPa (tensile) and the maximum shear stress is also 100 MPa, then what is the other principal stress?
Question 7
Figure below shows a state of plane stress.
If the minimum principal stress is -7 MN/m2 then what is the value of
?
If the minimum principal stress is -7 MN/m2 then what is the value of
? Question 8
The shear stress at the neutral axis in a beam of triangular section with a base of 40mm and height of 20mm. subjected to a sheer force of 3kN is
Question 9
If the young’s maodulus ‘E’ is equal to the bulk modulus ‘K’ then what is the value of the Poisson ratio ?
Question 10
The state of stress at a point is given by σx = –6 MPa, σy = 4 MPa, and τxy = –8 MPa. The maximum tensile stress (in MPa) at the point is __________.
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Jul 27ESE & GATE CE
