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
A String LM long is tied to the ends of a uniform rod that weight 60 N and is 1.6m long. The string passes over a nail so that the rod hangs horizontally. Determine the tension in

(Hydrostatic pressure on curved 3-D surfaces) A shark tank in the aquarium has a hemispherical glass viewing "bubble"  jutting into the water from the side wall. The radius of

define elastomer.explain in details?

Types of couple: Explain about different types of couple?  Sol.: There are mainly two types of couples: 1 . Clockwise Couple   A couple whose tendency

Please help me solve the following problem. Steam is throttled from a pressure of 700kPa to 100kPa and a temp. of 100 degrees Celsius. Determine the dryness factor of the steam

Determine- cutting speed, Material removal rate and Machining time. A 150 mm long 12.7 mm diameter stainless steel rod is being turned to 12.19 mm diameter on a centre lathe.

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

Describe the following terms:- a) Shear force and bending moment b) Concentrated load, Uniformly varying load and Uniformly distributed load c) Beam & Types of beam. d)

Q. Coil Circulation Pump? Type of pump, vertical in line. Locate on supply side of coil. Valving indicated, isolation valves on suction and discharge, check valves on bypass. P

calculate the head required