Structural Analysis, SI Edition
6th Edition
ISBN: 9780357030981
Author: Aslam Kassimali
Publisher: Cengage Learning US
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Chapter 9, Problem 5P
To determine
Find the maximum upward vertical reaction and the maximum counterclockwise reaction moment at support A.
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The figures below shows the framing plan and section of a reinforced concrete floor system.
Floor beams are shown as dotted lines. The weight of the ceiling and floor finishing is 6 psf,
that of the mechanical and electrical systems is 7 psf, and the weight of the partitions is 180
psf. The floor live load is 105 psf. The 7 in. thick slab exterior bay (S-1) is reinforced with #5
rebars @ 10 in. o.c. as the main positive reinforcement at the mid span, and #4 @ 109 in. for
the shrinkage and temperature reinforcement. The panel is simply supported on the exterior
edge and monolithic with the beam at the interior edge. Check the adequacy of the slab. Use
the ACI moment coefficients. fc’ = 6,000 psi and fy = 60,000 psi. The slab is in an interior
location.
Hint:
• Estimate total dead load. Find factored maximum positive bending moment in the end
span.
• Find design positive moment capacity.
• Compare and determine adequacy, including safety and economy.
C
D
At a point on the surface of a generator shaft the stresses are σx = -55MPa, σy =
25MPa and Txy = -20MPa as shown in Figure Q1.
(a) Using either analytical method or Mohr's circle determine the following:
Stresses acting on an element inclined at an angle 0 = 35°,
i.
ii.
iii.
The maximum shear stress
The principal stresses and
B.
25 MPa
A
55 MPa
20 MPa
Figure 1:Material stress state
(b) Consider that the Young's modulus for the material, E = 200kPa and
Poisson's ratio, v = 0.25.
i.
ii.
determine associate strains for the material with the stress as shown in
Figure 1
determine associate strains for the material with the stress at element
oriented at 35° (question 1a(i))
For an reinforced concrete two-way slab shown in figure under the load (P). (the slab
continuous over all edges - all sides are fixed), Determine (By using yield line theory):
A- Draw the Yield line Pattern
B- Determine the moment m
C- Find The required flexural steel to resist the loads causing the slab to collapse if P = 200
KN, f=28 MPa, fy = 420 MPa d = 120 mm. Use 10 mm bars.
Draw the yield line and
(Qmin = 0.002)
2m
solve
PO
6 m
3 m
-8 m
Chapter 9 Solutions
Structural Analysis, SI Edition
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