Evaluate the maximum bending stresses, Mechanical Engineering

Evaluate the maximum bending stresses:

A beam of I-section illustrated in Figure is simply supported over a span of 10 m. It carries an uniform load of 4 kN/m over the whole span. Evaluate the maximum bending stresses.

2444_Determine the maximum bending stresses1.png

   Cross-section of Beam                 Bending Stress Distribution

Figure

Solution

Moment of inertia, I =1/12  (BD3 - bd3)

=          (1/12) (300 × 6603 - 280 × 6003)

= 21.474 × 108 mm4

Span of beam, l = 10 m

Uniformly distributed load, w = 4 kN/m

Maximum bending moment at the centre of beam, M = wl 2/ 8

Therefore,        M =4 × 10 2 / 8

= 50 kN m

= 5 × 107 N mm

Neutral axis passes by the centroid of I-section.

 The distance of top and bottom layer from neutral axis, y = 330 mm

 

Thus, Bending stress, σ = (M / I )× y

= (5 × 10 7 / 21.474 × 108 )× 330 = 7.68 N/mm2

So the bending stress at top and bottom layers = 7.68 N/mm2.

Posted Date: 1/22/2013 12:20:08 AM | Location : United States







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

Write discussion on Evaluate the maximum bending stresses
Your posts are moderated
Related Questions
Calculation for Stress-strain carves:   After reaching point D, if bar is strained further, a local reduction in cross section occurs in gauge length (that is, formati

Illustrate theories in planning a machining sequence A component requires several machining operations to bring it to a final shape. The sequence of these operations are arran

Design of a Bicycle Frame : Figure  depicts a simple bicycle frame, which is to be built of hollow aluminium tubing with outside diameter of 20 mm and wall thickness of 2 mm. The f

Q. Properties of plastic? Their great variety of physico- chemical and mechanical properties, and ease with they can be made into various articles have found plastic their wide

Q. CSCC in Gas Streams? Due to process upset of FWKO or Treater, there may be chance of chloride carry over into the gas lines. Depending on the chloride contents of formation

working principle of land fill bio gas plant

(i) Use the GOAL SEEK tool in MS EXCEL to solve the following equation and determine the TWO roots of this equation between 0 X 4 -8x 3 -x 2 -14x+21=0 (ii). Use the SOLVER t

Aluminum-lithium alloys have been developed by the aircraft industry to reduce the weight and improve the performance of its aircraft. A commercial aircraft skin material having a


Q. Define Carbon steel? At ambient temperatures and under dry conditions, caustic is not particularly corrosive and can be handled in carbon steel. However, stress corrosion c