A rectangular plate 125 mm long, 10 mm wide, and 3 mm thick is formed from fused silica (aka fused quartz). It is tested in 3-point bending until it fails with a modulus of rupture of 110 MPa at a load of 66 N. Assume the central load point is on the top of the beam. a. How far apart must have been the lower supports? b. What was the maximum stress (magnitude and sign) on the top side of the beam halfway between the centralload point andtheleft-handlowerload point? c. What was the stress (magnitude and sign) directly beneath the central load point exactly 1.5 mm from the top surface? d. If the same plate was tested in pure tension, would the stress at failure probably be higher or lower than measured by 3-point bending? Why?
A rectangular plate 125 mm long, 10 mm wide, and 3 mm thick is formed from fused silica (aka fused quartz). It is tested in 3-point bending until it fails with a modulus of rupture of 110 MPa at a load of 66 N. Assume the central load point is on the top of the beam. a. How far apart must have been the lower supports? b. What was the maximum stress (magnitude and sign) on the top side of the beam halfway between the centralload point andtheleft-handlowerload point? c. What was the stress (magnitude and sign) directly beneath the central load point exactly 1.5 mm from the top surface? d. If the same plate was tested in pure tension, would the stress at failure probably be higher or lower than measured by 3-point bending? Why?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
A rectangular plate 125 mm long, 10 mm wide, and
3 mm thick is formed from fused silica (aka fused quartz). It
is tested in 3-point bending until it fails with a modulus of
rupture of 110 MPa at a load of 66 N. Assume the central
load point is on the top of the beam.
a. How far apart must have been the lower supports?
b. What was the maximum stress (magnitude and sign)
on the top side of the beam halfway between the
centralload point andtheleft-handlowerload point?
c. What was the stress (magnitude and sign) directly
beneath the central load point exactly 1.5 mm from
the top surface?
d. If the same plate was tested in pure tension, would
the stress at failure probably be higher or lower
than measured by 3-point bending? Why?
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