Question

QUESTION 34 For a simply supported beam with a single load at the midpoint, the predicted maximum deflection is given by Дмах PL3 48 EI PL :-.. Af Tel + L where P is the load, L is the length. E is the modulus of elasticity, and I is the moment of inertia. Referring to this diagram and equation, answer True or False: All else being equal, increasing modulus of elasticity will decrease the deflection True False

Answer 1

Here, it is given that the deflection is given by the equation

PL 48 EI

In this question, we are considering all the other parameters as constants and varying the modulus of elasticity.

The modulus of elasticity is given by the letter E

Now, what happens to delta if we increase E ?

E is in the denominator of the equation.

So, If we increase E, Delta will decrease its value.

The statement is TRUE