A beam with the cross section geometry and dimensions as shown in the figure and parameter table is subjected to an internal shear of V = 6 kip. Determine that shear-stress values at the numbered locations in the figure. Your written work should include a sketch of the shear profile over the entire cross-section (note that the beam is symmetrical so its shear profile will be as well). L3 parameter value units 4 in in in in kip L₁ L2 L3 LA V 1.5 1.5 6 T₁ at 4 in. above the NA = 2021 Cathy Zupke The neutral axis is at line 5. Find the shear stress at the specified locations: T2 at 3.25 in. above the NA = ksi ↑ ksi T3+ at 2.5 in. above the fat the bottom of the flange) =

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter6: Stresses In Beams (advanced Topics)
Section: Chapter Questions
Problem 6.9.9P: A U-shaped cross section of constant thickness is shown in the figure. Derive the following formula...
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A beam with the cross section geometry and dimensions as
shown in the figure and parameter table is subjected to an
internal shear of V = 6 kip. Determine that shear-stress
values at the numbered locations in the figure. Your written
work should include a sketch of the shear profile over the
entire cross-section (note that the beam is symmetrical so its
shear profile will be as well).
L3-
parameter value units
in
in
in
in
6 kip
L₁
L2
L3
LA
V
4
8
1.5
1.5
6
T₁ at 4 in. above the NA =
3+
T2 at 3.25 in. above the NA =
cc 080
BY NO SA
2021 Cathy Zupke
The neutral axis is at line 5. Find the shear stress at the
specified locations:
ksi
↑
ksi
T3+ at 2.5 in. above the HA fat the bottom of the flange) =
Transcribed Image Text:A beam with the cross section geometry and dimensions as shown in the figure and parameter table is subjected to an internal shear of V = 6 kip. Determine that shear-stress values at the numbered locations in the figure. Your written work should include a sketch of the shear profile over the entire cross-section (note that the beam is symmetrical so its shear profile will be as well). L3- parameter value units in in in in 6 kip L₁ L2 L3 LA V 4 8 1.5 1.5 6 T₁ at 4 in. above the NA = 3+ T2 at 3.25 in. above the NA = cc 080 BY NO SA 2021 Cathy Zupke The neutral axis is at line 5. Find the shear stress at the specified locations: ksi ↑ ksi T3+ at 2.5 in. above the HA fat the bottom of the flange) =
parameter
L₁
L2
L3
LA
V
value
4
8
1.5
1.5
6
T₁ at 4 in. above the NA =
units
in
in
in
in
kip
The neutral axis is at line 5. Find the shear stress at the
specified locations:
T2 at 3.25 in. above the NA =
T5 at the NA =
T4 at 1.25 in. above the NA =
T3+ at 2.5 in. above the NA (at the bottom of the flange) =
ksi
ksi
T3- at 2.5 in. above the NA (at the top of the web) =
ksi
T6 at 1.25 in. below the NA =
ksi
ksi
↑
L4
✓
ksi
ksi
Transcribed Image Text:parameter L₁ L2 L3 LA V value 4 8 1.5 1.5 6 T₁ at 4 in. above the NA = units in in in in kip The neutral axis is at line 5. Find the shear stress at the specified locations: T2 at 3.25 in. above the NA = T5 at the NA = T4 at 1.25 in. above the NA = T3+ at 2.5 in. above the NA (at the bottom of the flange) = ksi ksi T3- at 2.5 in. above the NA (at the top of the web) = ksi T6 at 1.25 in. below the NA = ksi ksi ↑ L4 ✓ ksi ksi
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