eam ABC with an overhang BC is subjected to a linearly varying distributed load on span AB with peak intensity 9. = 2,400 N/m and a point load P = 1,500 N applied at C. 190 150 mm Dp------ B L= 2 m L/4 0.2 m he 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 our 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 T use the sign convention for shear tresses. For the shear stress Tmart enter the magnitude. Consider only the in-plane stresses and neglect the weight of the beam.) kPa Oy = kPa Txy = КРа КРа 02 = kPa kPa max = 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.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question
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.
|90
150 mm
Do-----
B
A
C
L/4
L=2 m
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 t use the sign convention for shear
stresses. For the shear stress Tmay enter the magnitude. Consider only the in-plane stresses and neglect the weight of the beam.)
kPa
kPa
kPa
Txy
kPa
01
kPa
02
kPa
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.
Tmax
I| ||
Transcribed Image Text: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. |90 150 mm Do----- B A C L/4 L=2 m 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 t use the sign convention for shear stresses. For the shear stress Tmay enter the magnitude. Consider only the in-plane stresses and neglect the weight of the beam.) kPa kPa kPa Txy kPa 01 kPa 02 kPa 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. Tmax I| ||
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