Part 2Incorrectzdirectionydirection xdirection K. Combine Mx. Note that x. Only xdirectionz,M,is positive. See theproduces and calculations ofequivalentand the produce at thethe momentboththeTheforce in moments sectioncomponents components force in aforce intheaboutcontaining due to these produce anegativethemomentmoments forthenegative thetwo forcesnegative aboutvarious combinedloading cases inthe examples innegativetomomentdetermineaboutSection 15.4.Calculate My, the moment due to the combined loading about the x direction at the section containing K. Also, calculate M,, themoment due to the combined loading about the z direction at the section containing K. Enter My as a positive value if themoment vector is in the direction of the positive x axis. If it's in the opposite direction, enter My as a negative value. Šimilarly,enter M, as a positive value if the moment vector is in the direction of the positive z axis.Answers:Mx =i! kN-mM2 =i! kN-meTextbook and MediaSave for LaterAttempts: 1 of 5 usedSubmit Answer Three loads are applied to the short rectangular post shown. The cross-sectional dimensions of the post are also shown.Assume Q = 100 kN, P = 160 kN, R = 70 kN, e = 55 mm, y1 = 80 mm, y2 = 140 mm, ZK = 30 mm, b = 130 mm, d = 170 mm.Determine(a) the normal and shear stresses at point K.(b) the principal stresses and maximum in-plane shear stress at point K, and show the orientation of these stresses on anappropriate sketch.b|KRZKdy2ZKHHK

Answered: Image /qna-images/answer/c79c5164-4dfe-4ee1-a1f1-fd9b5059a058.jpg

Three loads are applied to the short rectangular post shown. The cross-sectional dimensions of the post are also shown. Assume Q - 100 kN, P = 160 kN, R = 70 kN, e = 55 mm, y1 = 80 mm, y2 = 140 mm, ZK = 30 mm, b = 130 mm, d = 170 mm. Determine (a) the normal and shear stresses at point K. (b) the principal stresses and maximum in-plane shear stress at point K, and show the orientation of these stresses on an appropriate sketch. b R ZK d H K

Three loads are applied to the short rectangular post shown. The cross-sectional dimensions of the post are also shown. Assume Q - 100 kN, P = 160 kN, R = 70 kN, e = 55 mm, y1 = 80 mm, y2 = 140 mm, ZK = 30 mm, b = 130 mm, d = 170 mm. Determine (a) the normal and shear stresses at point K. (b) the principal stresses and maximum in-plane shear stress at point K, and show the orientation of these stresses on an appropriate sketch. b R ZK d H K

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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Concept explainers

Planar Stresses

Question

Part 2
Incorrectzdirectionydirection xdirection K. Combine Mx. Note that x. Only xdirectionz,
M,is positive. See the
produces and calculations of
equivalent
and the produce at the
the moment
both
the
The
force in moments section
components components force in a
force in
the
about
containing due to these produce a
negative
the
moment
moments for
the
negative the
two forces
negative about
various combined
loading cases in
the examples in
negative
to
moment
determine
about
Section 15.4.
Calculate My, the moment due to the combined loading about the x direction at the section containing K. Also, calculate M,, the
moment due to the combined loading about the z direction at the section containing K. Enter My as a positive value if the
moment vector is in the direction of the positive x axis. If it's in the opposite direction, enter My as a negative value. Šimilarly,
enter M, as a positive value if the moment vector is in the direction of the positive z axis.
Answers:
Mx =
i
! kN-m
M2 =
i
! kN-m
eTextbook and Media
Save for Later
Attempts: 1 of 5 used
Submit Answer

Three loads are applied to the short rectangular post shown. The cross-sectional dimensions of the post are also shown.
Assume Q = 100 kN, P = 160 kN, R = 70 kN, e = 55 mm, y1 = 80 mm, y2 = 140 mm, ZK = 30 mm, b = 130 mm, d = 170 mm.
Determine
(a) the normal and shear stresses at point K.
(b) the principal stresses and maximum in-plane shear stress at point K, and show the orientation of these stresses on an
appropriate sketch.
b
|K
R
ZK
d
y2
ZK
H
H
K

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STEP 1: BASIC DATA GIVEN:

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STEP 2: DETERMINATION OF MOMENT OF INERTIA AND MOMENT:

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STEP 3: DETERMINATION OF NORMAL AND SHEAR STRESS AT POINT "K":

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STEP 4: DETERMINATION OF PRINCIPLE STRESSES AT POINT "K":

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STEP 5: ORIENTATION DIAGRAM:

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