Beam ABC with an overhang BC is subjected to a linearly varying distributed load on span AB with peak intensity q = 2,400 N/m and a point load P= 1,500 N applied at C. A TITE Txy = L = 2m Do------- B L/4 0.2 m C 0 The beam has a width b= 100 mm and depth = 200 mm. Find the state of plane stress at point D located 150 mm below the top of the beam and 0.2 m to the left of point B. Also find the principal stresses at D. (Enter your answers in kPa. Assume that the +x-axis is to the right and the +y-axis is up along the page. For the normal stresses, use the deformation sign convention. For the shear stress Ty use the sign convention for shear stresses. For the shear stress Tmax enter the magnitude. Consider only the in-plane stresses and neglect the weight of the beam.) kPa kPa kPa kPa kPa kPa 150 mm 0₂ Tmax= Construct a clear sketch of Mohr's circle for this problem, and construct a sketch of the stresses on properly oriented elements for your above solutions, clearly indicating the orientation wrt the base x-y coordinate system
Beam ABC with an overhang BC is subjected to a linearly varying distributed load on span AB with peak intensity q = 2,400 N/m and a point load P= 1,500 N applied at C. A TITE Txy = L = 2m Do------- B L/4 0.2 m C 0 The beam has a width b= 100 mm and depth = 200 mm. Find the state of plane stress at point D located 150 mm below the top of the beam and 0.2 m to the left of point B. Also find the principal stresses at D. (Enter your answers in kPa. Assume that the +x-axis is to the right and the +y-axis is up along the page. For the normal stresses, use the deformation sign convention. For the shear stress Ty use the sign convention for shear stresses. For the shear stress Tmax enter the magnitude. Consider only the in-plane stresses and neglect the weight of the beam.) kPa kPa kPa kPa kPa kPa 150 mm 0₂ Tmax= Construct a clear sketch of Mohr's circle for this problem, and construct a sketch of the stresses on properly oriented elements for your above solutions, clearly indicating the orientation wrt the base x-y coordinate system
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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
Transcribed Image Text:Beam ABC with an overhang BC is subjected to a linearly varying distributed load on span AB with peak intensity 40 = 2,400 N/m and a point load P = 1,500 N applied at C.
σx =
ox
oy =
Txy
=
A
III
%1 =
02
%₂ =
Tmax=
L = 2m
90
0.2 m
Ⓡ
The beam has a width b = 100 mm and depth h = 200 mm. Find the state of plane stress at point D located 150 mm below the top of the beam and 0.2 m to the left of point B. Also find the principal stresses at D. (Enter
your answers in kPa. Assume that the +x-axis is to the right and the +y-axis is up along the page. For the normal stresses, use the deformation sign convention. For the shear stress Txy, use the sign convention for shear
stresses. For the shear stress Tmax enter the magnitude. Consider only the in-plane stresses and neglect the weight of the beam.)
kPa
kPa
kPa
kPa
kPa
kPa
DD-------
BLA
C
150 mm
Construct a clear sketch of Mohr's circle for this problem, and construct a sketch of the stresses on properly oriented elements for your above solutions, clearly indicating the orientation wrt the base x-y coordinate system
(as demonstrated in the lectures). Submit your sketches as Shown Work on Canvas. Your grade will be based predominantly on these sketches.
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