Determine the maximum uniformly distributed load, Mechanical Engineering

Determine the maximum uniformly distributed load:

A timber beam 150 mm wide & 300 mm deep is supported simply over a span of

4 m. determine the maximum uniformly distributed load that the beam may carry, if the stress is not to exceed 8 N/mm2.


Breadth of beam, b = 150 mm

Depth of beam, d = 300 mm

Moment of inertia, I = (1/12) bd3

= (1/12) × (150) × (300)3

= 3.375 × 108 mm4

Maximum bending stress, σ = 8 N/mm2

Span of beam, l = 4 m

Extreme fibre distance, y = 150 mm

Bending stress, σ = ( M/ I) × y


8 =       (M / (3.375 × 108)) × 150

 ∴ Maximum bending moment, M

= (8 × 3.375 × 108) /150

= 18 × 106 N mm = 18kN m

But      M = wl 2/8

i.e.       18 = w × (4)2 / 8

∴          w = (18 × 8)/16

                  = 9 kN/m

∴  The maximum consistently distributed load the beam might carry = 9 kN/m.

Posted Date: 1/22/2013 12:20:53 AM | Location : United States

Related Discussions:- Determine the maximum uniformly distributed load, Assignment Help, Ask Question on Determine the maximum uniformly distributed load, Get Answer, Expert's Help, Determine the maximum uniformly distributed load Discussions

Write discussion on Determine the maximum uniformly distributed load
Your posts are moderated
Related Questions
heat pump to estimate the COP acts as refrigerator experiment abstract

The Continue Dimension Command You can use the Continue command to add a string of dimensions. In the illustration above the "36mm" dimension has been continued from the "64mm"

Repair of surface defects in welds by chipping, grinding and gouging is permitted provided the thickness is not reduced below the minimum required. Removal of defects shall be ver

Find length of belt: Find length of belt which is required to drive a pulley of 500mm diameter running parallel at the distance of 12m from driving pulley of diameter 1600m.

Kennedy’s Theorem: According to this theorem the relative instantaneous centres on whichever three bodies that contain motion relative to each other are collinear. Higher Pa

basics of static balancing.

Answer any five questions. a) Describe calibration and state its types. b) Which are the kinds of test signals? c) What is the basic working principle of piezo-electric tr

Hazardous Waste and Material Standards Each hazardous site must be examined and evaluated for its characteristics before workers are allowed entry. This will pre decide an

computer aided design of piercing press tool

Describe the following terms:- a) Gyroscope b) Crank-pin effort c) Piston Effort d) Crank effort e) Thrust on crank shaft bearings.  f) Brake and Dynamometer g