A brick masonry wall of normal thickness 200 mm carries an axial

A brick masonry wall of normal thickness 200 mm carries an axial
| A brick masonry wall of normal thickness 200 mm carries an axial load of 26 kN/m and another load of 19 kN/m acting at an eccentricity of 45 mm. The resultant eccentricity and eccentricity ratio are respectively

A. 19 mm and 0.1

B. 19 mm and 0.095

C. 20 mm and 0.1

D. 20 mm and 0.085

Please scroll down to see the correct answer and solution guide.

Right Answer is: B

SOLUTION

Concept:

When the floor slabs (or roof slabs) transferring load to the wall do not bear on it for the full width of the wall, the vertical load transferred to will act eccentrically. Eccentric vertical loads or axial loads plus lateral loads on wall cause bending stresses in addition to axial stresses.

Figure shows a wall of thickness t, carrying axial load w1 and eccentric load W2 at eccentricity e, per unit length of wall. The resultant load W will have an eccentricity e’ which can be found by taking moments around the centroid of the section AB.

(W x e’)=(W1 x 0 + W2 x e)

e’= (W2 x e)/( W1+ W2)

Eccentricity ratio = (Equivalent Eccentricity)/thickness of wall

Calculation:

Axial load (W1) = 26 KN

Another load = 19 KN/m

Eccentricity = 45 mm

Thickness of wall = 200 mm

Equivalent eccentricity = e’= (19 × 45)/(19 + 26) = 19 mm

Eccentricity ratio = (Equivalent Ec centricity)/thickness of wall = 19/200 = 0.095