Question #200954

The bar shown in the figure is fixed at A and an axial force of 150 kN is acting at C. The

cross-sectional areas of each segment are given in the figure. The design requires that there

should not be a support reaction at B after displacement along the z axis occurs. To provide this

a linearly distributed axial load q(z) is applied between C and D . If the value of this distribution

is supposed to be zero at D , then obtain the expression of the function of this distribution. The

Elasticity modulus of the material is 3500 MPa. (40 Points)

Expert's answer

Given,

As we are moving from A to C, then the load of the rod gets increase.

Compression in the small part of the rod,

Total compression in CD,

Let the reaction force at the hinge A

,

Extension in the bar AC,

Total change in length

Now, subtracting,

Hence,

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