Strength of Materials

SOLVED UNIVERSITY QUESTIONS

SOLVED PROBLEM 8.18

A beam is simply supported at its ends over a span of 10 m and carries two concentrated loads of 100 kN and 60 kN at distances of 2 m and 5 m, respectively from the left support. Calculate (i) slope at the left support and (ii) slope and deflection under the 100 kN load. Assume EI = 36 × 10⁴ kNm² (Anna Univ., June 2006, ME).

Solution:

Given data: Span, l = 10, point load = 100 kN and 60 kN, EI = 36 × 10⁴ kNm².

 

 

Fig. 8.36

 

Taking moments about A,

 

R_B × 10 = 60 × 5 +100 × 2

∴     R_B = 50 kN

R_A = 160 − 5 = 110 kN

 

A section x − x in the last part of the beam (DB) at a distance x from A is ...