Calculate the slope at free end of a cantilever beam of length l = 5 m subjected to a uniformly varying load with intensity varying from 0 kN/m (at B) to 20 kN/m (at A) as shown in figure. Consider that the flexural rigidity (EI) of the beam as constant throughout its length.

F3 Vinanti Engineering 07.12.23 D3

This question was previously asked in
SSC JE (Civil) 2023 Official Paper-II (Held On: 04 Dec, 2023 Shift 1)
View all SSC JE CE Papers >
  1. \( \frac{104.16}{E I} \)
  2. \(\frac{64.64}{E I} \)
  3. \(\frac{129.27}{E I} \)
  4. \( \frac{88.58}{E I}\)

Answer (Detailed Solution Below)

Option 1 : \( \frac{104.16}{E I} \)
Free
Building Materials for All AE/JE Civil Exams Mock Test
16.6 K Users
20 Questions 20 Marks 20 Mins

Detailed Solution

Download Solution PDF

Explanation

SFD AND BMD OF CANTILEVER BEAM carrying UVL.

qImage65876701c2d2df42f4a1c535

slope = area of BM/EI

deflection = area of bending moment * centroid distance / EI

Area of 3 degree parabola = bh/4

Given

L = 5m

Wo = 20 kN/m

Calculation

b = 5 , h = WoL2/6 = (20 x 52)/6 = 83.33 KNm

Area of 3 degree parabola = bh/4  = (5 x 83.33)/4 = 104.162

slope = (area of BM)/EI

slopeB = 104.162/EI (Ans)

Latest SSC JE CE Updates

Last updated on Jul 1, 2025

-> SSC JE notification 2025 for Civil Engineering has been released on June 30. 

-> Candidates can fill the SSC JE CE application from June 30 to July 21.

-> SSC JE Civil Engineering written exam (CBT-1) will be conducted on 21st to 31st October.

-> The selection process of the candidates for the SSC Junior Engineer post consists of Paper I, Paper II, Document Verification, and Medical Examination.

-> Candidates who will get selected will get a salary range between Rs. 35,400/- to Rs. 1,12,400/-.

-> Candidates must refer to the SSC JE Previous Year Papers and SSC JE Civil Mock Test, SSC JE Electrical Mock Test, and SSC JE Mechanical Mock Test to understand the type of questions coming in the examination.

-> The Staff Selection Commission conducts the SSC JE exam to recruit Junior Engineers in different disciplines under various departments of the Central Government.

More Deflection of Beam Questions

Get Free Access Now
Hot Links: teen patti gold apk teen patti stars teen patti bindaas