Question

Und bedding

200
Question 2
A Column is 0.5 m diameter and carries a load of 600 Kofker from the controid by
0.1. calculate the extemes of stresses.
Question 3​

Answer 1

The stress for tensile edge is 1.834 MPa

The stress for compressive edge is -7.945 MPa

Step-by-step explanation:

Given that,

Force = 600 kN

Diameter = 0.5 m

`y=(D)/(2)=(0.5)/(2)=0.25\ m`

Distance from the centroid to the edge of the column x= 0.1 m

We know that,

Stress for column :

The stress is equal to the sum of banding stress and direct compressive stress.

`\sigma=\sigma_(b)+(-\sigma_(d))`

The value of binding stress will be positive for tensile and negative for compressive stress.

We need to calculate the stress for tensile edge,

Using formula of stress for tensile edge,

`\sigma=(Fxy)/(I)-(F)/(A)`

Put the value into the formula

`\sigma=(600*1000*0.1*0.25)/(\pi*((0.5)^4)/(64))-(600*1000)/(\pi*((0.5)^2)/(4))`

`\sigma=1.834\ MPa`

We need to calculate the stress for compressive edge,

Using formula of stress for compressive edge,

`\sigma=-(Fxy)/(I)-(F)/(A)`

Put the value into the formula

`\sigma=-(600*1000*0.1*0.25)/(\pi*((0.5)^4)/(64))-(600*1000)/(\pi*((0.5)^2)/(4))`

`\sigma=-7.945\ MPa`

Hence, The stress for tensile edge is 1.834 MPa

The stress for compressive edge is -7.945 MPa