The two-span continuous beam shown in Figure 3 is subjected to a uniformly distributed load, $w$ , per unit length acting as shown. The modulus of elasticity of the material is $E$ . The moment of inertia of parts $AE$ and $CF$ is $I$ and of parts $BE$ and $BF$ is $2 I$ . Use the Moment-Area Method to: a) calculate the reaction at either support $A$ or $C$ , and at support $B$ , b) determine the slope at either support $A$ or $C$ , c) determine the deflection at mid-span $B A$ or $BC$ , and d) draw the final bending moment diagram for the two spans $A B$ and $BC$ .

Question

The two-span continuous beam shown in Figure 3 is subjected to a uniformly distributed load,

w

, per unit length acting as shown. The modulus of elasticity of the material is

E

. The moment of inertia of parts

AE

and

CF

is

I

and of parts

BE

and

BF

is

2 I

. Use the Moment-Area Method to: a) calculate the reaction at either support

A

or

C

, and at support

B

, b) determine the slope at either support

A

or

C

, c) determine the deflection at mid-span

B A

or

BC

, and d) draw the final bending moment diagram for the two spans

A B

and

BC

.

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