Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 15, Problem 15.22P
For Problems 15.15 through 15.26, use the moment-area method.
15.22 An
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Compute the initial deflection of the beam at midspan under service loads with the following specifications: f'c = 4000 psi, 36-inch height, depth of rebar assumed to be 3 inches less than the height, 16-inch width, 4 #9 bars (tension), Grade 60 rebar, 30' clear spans, service loads of: DL = 0.25k/ft, LL = 1.2k/ft.
The DL does NOT include self-weight of the beam or of the precast concrete deck planks that have a weight of 60 PSF. The beam picks up a tributary width of 12 feet. Also, note that this beam is continuous and is the middle beam of 5 equal spans.
Check the initial deflections against the ACI deflection requirements. Then calculate the long-term deflections and check those against the ACI requirements. For both situations, assume that finish materials will be attached to the beam.
Last: Instead of performing a structural analysis to determine the maximum deflection in the beam, conservatively figure that the maximum deflection will be 60% of what it would have been for a…
Calculate the deflection at midspan for the
beam in Figure 15.250. The beam is a 4-in.
nominal diameter standard-weight steel pipe.
Neglect the weight of the beam.
14.12 The cantilevered beam shown in then
accompanying figure is used to support a
load acting on a balcony. The deflection of
the centerline of the beam is given by the
following equation:
-wx?
y=.
(x²-4Lx+6L)
24EI
where
(o y = deflection at a given x location (m)
distributed load (N/m)
W =
gle
E = modulus of elasticity (N/m²)
I = second moment of area (m*)
x = distance from the support as shown (x)
ded
nd
L = length of the beam (m)
ween
e air
Problem 14.12
ELA maldov
or
Using Excel, plot the deflection of a
beam whose length is 5 m with the
modulus of elasticity of E =200 GPa and
I= 99.1×10° mmª. The beam is designed
to carry a load of 10,000 N/m. What is the
maximum deflection of the beam?
how
a the car
ermine
e air resis-
Chapter 15 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 15 - A 14 in.-diameter aluminum rod is bent into a...Ch. 15 - 15.2 Calculate the maximum bending stress produced...Ch. 15 - A 500 -mm-long steel bar having a cross section of...Ch. 15 - 15.4 An aluminum wire has a diameter of in....Ch. 15 - 15.5 A -in.-wide by in.-thick board is bent to a...Ch. 15 - 15.6 A Douglas fir beam is in. wide and in. deep....Ch. 15 - Prob. 15.7PCh. 15 - For Problems 15.7 through 15.14, use the formula...Ch. 15 - For Problems 15.7 through 15.14, use the formula...Ch. 15 - For Problems 15.7 through 15.14, use the formula...
Ch. 15 - For Problems 15.7 through 15.14, use the formula...Ch. 15 - For Problems 15.7 through 15.I4, use the formula...Ch. 15 - For Problems 15.7 through 15.14, use the formula...Ch. 15 - For Problems 15.7 through 15.14, use the formula...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - 15.27 Draw the moment diagram by parts for the...Ch. 15 - 15.28 Draw the moment diagram by parts for the...Ch. 15 - 15.29 Draw the moment diagram by parts for the...Ch. 15 - 15.30 For the beam shown, draw the conventional...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - 15.49 If the elastic limit of a steel wire is...Ch. 15 - 15.50 Calculate the bending moment required to...Ch. 15 - 15.51 A 6-ft-long cantilever beam is subjected to...Ch. 15 - 15.52 A structural steel wide-flange section is...Ch. 15 - 15.53 A simply supported structural steel...Ch. 15 - 15.54 A structural steel wide-flange shape is...Ch. 15 - A solid, round simply supported steel shaft is...Ch. 15 - Using the moment-area method, check the...Ch. 15 - 15.57 A 1-in.-diameter steel bar is 25 ft long and...Ch. 15 - 15.58 A 102-mm nominal diameter standard-weight...Ch. 15 - I 5.59 Compute the maximum deflection for the...Ch. 15 - An 8-in-wide by 12-in-deep redwood timber beam...Ch. 15 - 15.61 A solid steel shaft 3 in. in diameter and 20...Ch. 15 - 15.62 For the beam shown, draw the conventional...Ch. 15 - 15.63 Rework Problem 15.62 with concentrated loads...Ch. 15 - 15.64 A solid steel shaft 3 in. in diameter and 20...Ch. 15 - 15.65 A structural steel wide-flange section is...Ch. 15 - 15.66 A 6-in.-by-10-in, hem-fir timber beam (S4S)...Ch. 15 - 15.67 A simply supported structural steel...Ch. 15 - Calculate the maximum permissible span length for...Ch. 15 - 15.69 A structural steel wide-flange section 10 ft...Ch. 15 - 15.70 A structural steel wide-flange section...Ch. 15 - 15.71 Determine the deflection at point C and...Ch. 15 - 15.72 Calculate the deflection midway between the...Ch. 15 - 15.73 Derive an expression for the maximum...Ch. 15 - 15.74 Derive an expression for the maximum...
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- Compute the maximum deflection of the beam using double integration methodarrow_forwardA 16 ft long, simply supported beam is subjected to a 4 kip/ft uniform distributed load over its length and 18 kip point load at its center. If the beam is made of a W14x30, what is the deflection at the center of the beam in inches? The quiz uses Esteel = 29,000,000 psi. Ignore self-weight.arrow_forwardPLEASE SHOW THE FBD/s 7. Write the moment equation for the entire beam. Place your answer in a box. 8. Write the slope equation of the beam. Place your answer in a box. 9. Write the deflection equation.Place your answer in a box.arrow_forward
- Determine the deflection of beam from the given fig.arrow_forwardUse the slope deflection method by using the graphical method to calculate deflections and draw bending moment diagrams then draw the shear force, axial force and bending moment diagrams.arrow_forwardRefer to the previous problem. Calculate the resulting maximum positive moment (kN-m). O 77.4 O 96.8 O 54.4 O 108.8 SITUATION. A simply supported beam has a span of 12 m. It carries a total uniformly distributed load of 21.5 kN/m. To prevent excessive deflection, a support is added at midspan. Calculate the reaction (kN) at the added support. O 96.75 O 161.25 80.62 O 48.38 PLS ANSWER ASAP THANKSarrow_forward
- Calculate the bending moment for the fire design in the center of 5 m span if the strip of slab is 1 m wide. The factored load for fire design is 4.2 kN/m2. Select one: O a. 13.12 kNm O b. 12.75 kNm O c. 8.14 kNm Od. 15.86 kNmarrow_forwardA simple uniformly distributed 20 ft. beam carrying a load of 1000 lb./ft. is simply supported at both ends. Calculate the maximum deflection of the beam having a modulus of elasticity of 29 x 100 psi, and moment inertia of 250 in". A. 0.208 in. C. 0.67 in. B. 0.496 in. D. 1.220 in.arrow_forwardA cantilever beam shown carries a concentrated load of 20 kN at point C. Assume constant value of E. Compute the deflection at C. Compute the slope at C. Compute the deflection at B.arrow_forward
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