A prismatic bar is supported between two rigid supports as shown in figure. The support reaction will be

F3 Madhuri Engineering 21.11.2022 D8

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  1. \({R_A}={{10\over 3}kN},{R_B}={{20\over 3}kN}\)
  2. \({R_A}={{20\over 3}kN},{R_B}={{10\over 3}kN}\)
  3. RA = 10 kN, RB = 10 kN
  4. RA = 5 kN, RB = 5 kN

Answer (Detailed Solution Below)

Option 2 : \({R_A}={{20\over 3}kN},{R_B}={{10\over 3}kN}\)
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Detailed Solution

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Calculation

Referring to the :

RA =  RB + 10

F3 Madhuri Engineering 21.11.2022 D9

Using the compatibility equation

\(\delta_1+\delta_2 = 0\)

\(\frac{{{R_A} \times 1}}{{AE}} + \frac{{\left( {{R_A} - 10} \right) \times 2}}{{AE}} =0 \)

\(\Rightarrow {R_A} = \frac{{20}}{3}\ kN\)

And,

RB = (20/3) - 10 = -10/3 kN

So, the assumed direction for RB is not correct. RB will be in the opposite direction to the assumed direction.

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