Design Of Brick Masonry: Masonry Wall Subjected To Concentrated Load

Masonry Wall Subjected To Concentrated Load

When concentrated load is applied on a masonry wall, the wall is checked for load bearing stress. Permissible stress in bearing is taken as 50% more than the value given in Table 7 of IS1905-1987 

The angle of dispersion below the concentrated load is 30^o on each side. Therefore, the actual stress is,

?_act = P / A,

where, A ^à Area for 1m run = L x t,

L ^à Length of load dispersion = 2H/ tan 600  ,

H ^à Height of wall

For       the   wall   to   be   safe_act<_per? in   carrying   the   lo

1) Design a solid wall of a mill building 3m height securely tied with roof and floor units. The wall supports two beams on either side exerting reactions of 30kN and 20kN. Thickness of wall is 230mm and the beam bears on the wall for 115mm (width of beam). Neglect load due to self weight.

A_br = 230 x 115 = 26450 mm²

The values   given   in   Table_per in8bearingare.   increased   by

Therefore, assume H1 grade of mortar and brick of compressive strength 15 N/mm². ?_per = 1.31 N/mm²

?_{per br} = 1.5 x 1.31 = 1.965 N/mm² 

Check for compressive stress:

A = 3.464 x 1000 x 230 = 796720 mm²

?_act = ^50x103  / 796720= 0.063 N/mm²

?_per = 1.31 N/mm²

K_st = 0.89

K_A = 1

K_sh = 1.06

?per modified = Kst x KA x Ksh x per?

= 0.89 x 1 x 1 x 1.31 = 1.1659 N/mm² > _act?[0.063 N/mm²]

The wall is safe in carrying a concentrated load with H1 mortar and brick of compressive strength 15N/mm².

2) Design the exterior wall of a workshop building 3.6m height carrying steel trusses at 4.5m spacing. The wall is securely tied at roof and floor levels. The wall is of thickness 200mm and the truss bears on the wall for 200mm and load from the truss is 30kN.

[Length is considered only for piers and cross walls] A_br = 200 x 200 = 40000 mm²

Assume M1 mortar and brick of compressive strength 10 N/mm². Check for compressive stress:

?_ac = P/A

L = 2H / tan 600^{o = 4.157m}

A = 4.157 x 10³ x 200 = 956110mm²

3) In the above problem, design the wall if piers are available below the truss and size of pier is 200 x 400mm.

Here, we need to take the length. If the truss fully rests on pier, bearing area,

Abr = 80000 mm2

P = 30 x 10³ N

?_br = 30x103 200x400

?_br = 0.375N/mm2 < ?br per - >  [1.5(0.96) = 1.44 N/mm2]

Using M1 mortar and brick of compressive strength 10N/mm², Check for compressive stress:

?_ac = P/A

L = 2H/tan 600   = 4.16m

H_eff = 0.75 x 3.6 = 2.7m

L_eff = 0.8 x L = 0.8 x 4.5 = 3.6m

t_e = S_c x t

?_{per modified} = = 1 x 1 x 0.795 x 1.06 x 0.96 = 0.8089 N/mm²

Hence the wall is safe with M1 mortar and brick of compressive strength 10N/mm².