Question

Which of the following statement(s) is/are incorrect?
P. Rise temperature in 3 - hinged circular arch will increase the horizontal thrust at support.
Q. Support slip in case of anchored cable results in increase in tension in cable.
The correct combination is :

• A. P - True , Q - False
• B. P - False, Q - True
• C. P - True , Q - True
• D. P - False, Q - False

Answer 1

The correct option is D P - False, Q - False

$\Rightarrow$ Effect of temperature on stresses on 3 - hinged arch:
- If arch carries no load then stresses are not produced in three hinged arch
- If arch carries loading then it will undergo change in horizontal reaction, and it is given by
$\frac{dH}{H}=-\frac{dh}{h}$
Hence, due to rise in temperature, there is decrease in horizontal thrust.
$\Rightarrow$ Support slip in case of anchored cable will cause marginal sag in cable resulting in decreased tension in cable.