A simply supported beam of span L and carrying a concentrated load of W at mid-span. The value of deflection at mid-span will

be [where E = modulus of elasticity, I = moment of inertia of the section of beam]:

This question was previously asked in
SJVN ET Mechanical 2019 Official Paper
View all SJVN Executive Trainee Papers >

Answer (Detailed Solution Below)

Option 2 :
Free
SJVN ET General Awareness Mock Test
20 Qs. 20 Marks 12 Mins

Detailed Solution

Download Solution PDF

Concept:

Moment Area Method

Mohr's Theorem No.1

Mohr's Theorem No.2

where A = Reference point where slope zero, B = Origin point where slope and deflection are to be determined.

The distance of centroid of the area should be measured from the origin.

Calculation:

As we have to find the deflection at the midpoint (C) the area of half the bending moment diagram can be considered. 

Area of the bending moment diagram is given by:

Area of the  diagram = 

x̅ = Distance of the centroid of the Bending Moment Diagram from the origin

Additional Information

Deflection and slope of various beams are given by:

 

 

 

 

 

\({\theta _B} = \frac{{w{L^3}}}{{6EI}}\)

 

 

 

 

 

 


 

 


 

 


 

Where, y = Deflection of beam, θ = Slope of beam

Latest SJVN Executive Trainee Updates

Last updated on Jul 1, 2025

-> SJVN Executive Trainee Written Exam date is out, The computer based exam will be held on 10th, 11th August 2025.

->SJVN Executive Trainee recruitment 2025 application form has been released. Applicants can apply for the SJVN recruitment 2025 Executive Trainee till May 18.

->SJVN Limited has announced the recruitment notification for the position of Executive Trainee 2025.

->A total of 114 vacancies are available for the SJVN Executive Trainee Recruitment across various disciplines such as Civil, Mechanical, Electrical, Environment, Electronics & Communication, and more.

->The selection process of SJVN Executive Trainee recruitment 2025, as per the previous notification, includes a Computer-Based Test, Group Discussion, and Personal Interview.

->Once selected, candidates will be required to sign a service agreement bond of Rs. 10,00,000/- (Rs. 7,50,000/- for SC/ST/PWD candidates), committing to complete the prescribed training and serve the company for a minimum of 3 years.

->Candidates must refer to the SJVN Executive Trainee Previous Year Papers and boost their preparation for the exam.

More Deflection of Beam Questions

Hot Links: teen patti go teen patti king teen patti winner teen patti diya teen patti sweet