Determine the maximum bending stresses, Mechanical Engineering

Determine the maximum bending stresses:

A rectangular beam of breadth 100 mm & depth 200 mm is simply supported over a span of 4 m. The beam is loaded with a uniformly distributed load of 5 kN/m over the whole span. Determine the maximum bending stresses.

Solution

Breadth of beam, b = 100 mm

Depth of beam, d = 200 mm

Moment of inertia, I =1 /12 bd3 = ( 1/12 )× 100 × (200)3 = 66.67 × 106 mm4

Span of beam, I = 4 m

Uniformly distributed load, w = 5 kN/m

Maximum bending moment at centre of beam,

M = wl 2/8  =5 × 4 2/8

= 10 kN m = 107 N mm

761_Determine the maximum bending stresses.png

(1)   Cross-section of Beam                    (2) Bending Stress Distribution

Figure

Neutral axis passes by the centre of section.

The distance of top and bottom layer from neutral axis, y = 100 mm

Thus, Bending stress, σ = (M/ I) × y

= (107 )/(66.67 × 106) × 100

= 15 N/mm2

Thus the extreme bending stresses are 15 N/mm2. Figure illustrated the bending stress distribution for this rectangular section.

Posted Date: 1/22/2013 12:17:30 AM | Location : United States







Related Discussions:- Determine the maximum bending stresses, Assignment Help, Ask Question on Determine the maximum bending stresses, Get Answer, Expert's Help, Determine the maximum bending stresses Discussions

Write discussion on Determine the maximum bending stresses
Your posts are moderated
Related Questions
Beam: What do you mean by Beam, and Shear force and bending moment diagrams? Sol.: A beam is structural member whose longitudinal dimensions (that is width) is large co

Q. Safety from Corrosive Chemicals? Safety showers and eyewash stations shall be provided in areas where corrosive chemicals are stored and handled. They should be located so t

Carbon and Graphite Both are excellent refractory materials but with good grace oxidize and thus are used merely either in neutral or reducing conditions. Graphite is more sta

velocity ratio is 3 .pinion has 40 teeth. what would be the gear no of teeth?

mathematically example heat conduction through composite cylindrical

Tension in the string and acceleration of body: The two bodies weighing 300N and 450N are hung to two ends of the rope passing over an ideal pulley as shown in the figure giv

Manual Engineering Drawing: The physical object is to be drawn (Do not take photographs of the object or use it as a template that you trace with) in class as an isometric dra

Assets Markets and the LM Curve The assets markets are the markets in which money, bonds, stocks, houses and other forms of wealth are traded. There are a large variety of asse

Q. Production Test Rings? The frequency for the tests shall be as follows: • One sample at the 10th joint • One sample at the 75th joint • One sample at the 300th join

Direct Current Using direct current, the tungsten electrode may be connected to either the negative or the positive terminal of the supply of power. In almost all cases, ele