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A symmetrical beam of length 300 mm is loaded with a force of 414 N downwards (positive z) and has the following equation for the vertical displacement: w (2) = , ( - +) 48 The value of E is 200,000 Nmm²² and the values of ly is 20x 106 mm“ The maximum value of z for the beam cross section is ±20 mm What is the maximum tensile stress in the beam at the point when x = 90 mm? Express your answer in Nmm2, as a number to 2 dp, without the units.

A symmetrical beam of length 300 mm is loaded with a force of 414 N downwards (positive z) and has the following equation for the vertical displacement: w (2) = , ( - +) 48 The value of E is 200,000 Nmm²² and the values of ly is 20x 106 mm“ The maximum value of z for the beam cross section is ±20 mm What is the maximum tensile stress in the beam at the point when x = 90 mm? Express your answer in Nmm2, as a number to 2 dp, without the units.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A symmetrical beam of length 300 mm is loaded with a force of 414 N downwards (positive z) and has the following equation for the vertical displacement: w (2) = , ( - +) 48 The value of E is 200,000 Nmm²² and the values of ly is 20x 106 mm“ The maximum value of z for the beam cross section is ±20 mm What is the maximum tensile stress in the beam at the point when x = 90 mm? Express your answer in Nmm2, as a number to 2 dp, without the units.
Transcribed Image Text:A symmetrical beam of length 300 mm is loaded with a force of 414 N downwards (positive z) and has the following equation for the vertical displacement: w (2) = , ( - +) 48 The value of E is 200,000 Nmm²² and the values of ly is 20x 106 mm“ The maximum value of z for the beam cross section is ±20 mm What is the maximum tensile stress in the beam at the point when x = 90 mm? Express your answer in Nmm2, as a number to 2 dp, without the units.
Expert Solution
Step 1

Given:

Length, L = 300 mm

Force, F = 414 N

Modulus of Elasticity, E = 2 x 105 N/mm2

Moment of inertia, Iy = 20 x 106 mm4

Maximum distance of extreme fiber from neutral axis, z = ±20 mm

 

Also, the equation for vertical displacement is given as,

Civil Engineering homework question answer, step 1, image 1

Step 2

Civil Engineering homework question answer, step 2, image 1

 

Civil Engineering homework question answer, step 2, image 2

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