Calculate the slope at the left support. EI = constant.Given the (a) equation of the elastic curve for the overhanging beam and (b) the value of EIongation midway between the supports.Please show complete solution. 300 N/m2.7 kN • m+3 m-3 m - 3 m-3 m (a)M = -300r + 2700 (1 – 3)° – 150 (a - 6)+2100 (x – 9) N m-150z + 2700 (a - 3) - 50 (r - 6)+ 1050 (z – 9)? + C; N m-50z + 1350 (r – 3)² – (1 - 6)*EIV25Elv2+ 350 (z – 9)° + Cx +C2 N - mBoundary conditions:1. 미-0=0C2 = 0252. 미-9m=0-50(9)°+1350(6)² - (3)4+Ci(9) = 02C = -1238 N - m?: -50z + 1350 (z - 3)2- 20Elv+350 (z - 9) – 1238z N- m(b) Midway between supports ő = -0/-45 m50(4.5) - 1350(4.5 - 3)? + 1238(4.5)= 7090 N- m³Į 4.. EIS

Let,RA=vertical reaction at hinge support in upward directionRB=vertical reaction at roller support…

Answered: 300 N/m 2.7 kN • m +3 m-- 3 m - 3 m3 m-

Engineering

Civil Engineering

300 N/m 2.7 kN • m +3 m-- 3 m - 3 m3 m-

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Calculate the slope at the left support. EI = constant.

Given the (a) equation of the elastic curve for the overhanging beam and (b) the value of EIongation midway between the supports.

Please show complete solution.

(a)
M = -300r + 2700 (1 – 3)° – 150 (a - 6)
+2100 (x – 9) N m
-150z + 2700 (a - 3) - 50 (r - 6)
+ 1050 (z – 9)? + C; N m
-50z + 1350 (r – 3)² – (1 - 6)*
EIV
25
Elv
2
+ 350 (z – 9)° + Cx +C2 N - m
Boundary conditions:
1. 미-0=0
C2 = 0
25
2. 미-9m=0
-50(9)°+1350(6)² - (3)4+Ci(9) = 0
2
C = -1238 N - m?
: -50z + 1350 (z - 3)2
- 20
Elv
+350 (z - 9) – 1238z N- m
(b) Midway between supports ő = -0/-45 m
50(4.5) - 1350(4.5 - 3)? + 1238(4.5)
= 7090 N- m³Į 4
.. EIS

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