Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Chapter 13, Problem 47P
To determine
Calculate the support reactions and the member forces of the truss using method of consistent deformation.
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A simply supported rectangular prestressed concrete beam, of span 13 m and its cross section as
shown in figure, is carrying a live load equals to 30 kN/m in addition to its weight, compute the
following stresses and compare it with ACI allowable stress:
a) Bottom fiber stress at support in initial stage.
b) Top fiber stress at mid span in final stage.
Use y = 24 kN/m³, As = 600 mm², initial stress of the prestressed steel = 1200 MPa, total losses
is 20%, fci = 22 MPa, and fo' = 28 MPa
800 mm
3 As
400 mm
As
340 mm
340 mm
A study of the properties of metal plate-connected trusses used for roof support yielded the following observations on axial stiffness index (kips/in.) for plate lengths 4, 6, 8, 10, and 12 in:
4: 320.2 409.5 311.0 326.5 316.8 349.8 309.7
6: 401.1 347.2 361.0 404.5 331.0 348.9 381.7
8: 395.4 366.2 351.0 357.1 409.9 367.3 382.0
10: 356.7 452.9 461.4 433.1 410.6 384.2 362.6
12: 415.4 441.8 419.9 410.7 473.4 441.2 465.8
USE SALT
Does variation in plate length have any effect on true average axial stiffness? State the relevant hypotheses using analysis of variance.
O Ho M1 M2 M3 = μ4=μ5
Ha
all five μ's are unequal
Ho: M1 M2 M3 #44 #μ5
Ha all five μ's are equal
Ho: M₁ μ2 43 #44 #μ5
H₁: at least two μ,'s are equal
O Ho M1 M2 M3 = μ4=μ5
Ha at least two μ's are unequal
Test the relevant hypotheses using analysis of variance with a = 0.01. Display your results in an ANOVA table. (Round your answers to two decimal places.)
Degrees of Sum of Mean
Source
Squares
Squares
f
freedom
Treatments
Error…
1-Define a cartesion system 2 identify the structure's supports and the type of structure (2D) or 3D 3-If the structure has more than one element dismember the structure and draw free body diagram(show all actions and reactions) on each element independently 4- Determine the type of suports 5- show the unkown supports reactions with any assumed direction but you cannot change the assumed force direction once you dicede 6-In a common joint, you can dicide on the force direction in one element, however, in the other one you need to follow the Newton'ns 3rd law and shoe the opposite direction 7- if you have multiple actions forces in the system, find force components for each foce independently use Sin/Cos/Tan functions to find forces components in two perpendicular directions 8- Add forces in each direction since they are paralled forces Rx=fx Ry=fy Rz= fy
Chapter 13 Solutions
Structural Analysis
Ch. 13 - Prob. 1PCh. 13 - Prob. 2PCh. 13 - Prob. 3PCh. 13 - Prob. 4PCh. 13 - Prob. 5PCh. 13 - Prob. 6PCh. 13 - Prob. 7PCh. 13 - Prob. 8PCh. 13 - Prob. 9PCh. 13 - Prob. 10P
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