Materials Science and Engineering Properties, SI Edition
1st Edition
ISBN: 9781305178175
Author: GILMORE, Charles
Publisher: Cengage Learning
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Chapter 14, Problem 6ETSQ
To determine
The composite material that could be recycled by melting the shredded composite and form recycled pellets with uniform properties.
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For an reinforced concrete two-way slab shown in figure under the load (P). (the slab
continuous over all edges - all sides are fixed), Solve by using equilibrium method
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.
(Pmin = 0.002)
2 m
6 m
-8 m
3 m
A double-T simply supported concrete beam its cross section is shown in
Figure, is prestressed with 2 tendons each 400 mm². Determine the allowable
service load.
Use span 12 m, fse = 1300 MPa, fe = 40 MPa, y = 25 kN/m³.
=
1200 mm
>09
*100*
As = 400
+100+
As = 400
400
1400+
A double-T simply supported concrete beam its cross section is shown in
Figure, is prestressed with 2 tendons each 400 mm². Determine the allowable
service load.
Use span 12 m, fse = 1300 MPa, fc = 40 MPa, y = 25 kN/m³.
=
1200 mm
>09<
*100*
As = 400
+100+
As = 400
400
1400+
Chapter 14 Solutions
Materials Science and Engineering Properties, SI Edition
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- A prestressed simply supported 15 m span beam with rectangular box section is post-tensioned by straight high tensile steel wires as shown in Figure. The prestressing wires are placed at the center line of the flanges and initially stressed to 850 N/mm². The beam is required to carry a uniformly distributed superimposed load of 4.5 kN/m in addition to its weight. If the concrete stresses are not to exceed 17 MPa in compression and 1 MPa in tension at service stage, calculate the range of the total prestressing wires area required. Ignore prestressing force losses in your answer. (Ye kN/m³). = 24 2As 400 As 80 80; 750arrow_forwardA 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 mmarrow_forwardA 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…arrow_forward
- 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= fyarrow_forwardPhysical properties of six flame-retardant fabric samples were investigated in an article. Use the accompanying data and a 0.05 significance level to determine whether a linear relationship exists between stiffness x (mg-cm) and thickness y (mm). x y 8.08 24.33 12.39 6.99 23.97 35.64 0.25 0.68 0.30 0.28 0.82 0.57 State the appropriate null and alternative hypotheses. ○ Ho: p = 0 H₂: pO ○ Hop = 0 Hap #0 Compute the value of the sample correlation coefficient, r. Round your answer to four decimal places. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) P-value = State the conclusion in the problem context. O Fail to reject Ho. The data indicates that the population correlation coefficient differs from 0. Fail to reject Ho. The data does not indicate that the population correlation coefficient differs from 0. Reject Ho. The data indicates that the population correlation coefficient differs…arrow_forward1-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= fyarrow_forward
- - - A study reports data on the effects of the drug tamoxifen on change in the level of cortisol-binding globulin (CBG) of patients during treatment. With age = x and ACBG = y, summary values are n = 26, Ex, = 1613, Σ(x, x)² = 3756.96, Ey, = 281.9, (y, v)² = 465.34, and Exy, = 16,709. (a) Compute a 90% CI for the true correlation coefficient p. (Round your answers to four decimal places.) (b) Test Ho: p =-0.5 versus Ha: p< -0.5 at level 0.05. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) P-value = State the conclusion in the problem context. Fail to reject Ho. There is evidence that p < -0.5. Reject Ho. There is no evidence that p < -0.5. Reject Ho. There is evidence that p < -0.5. Fail to reject Ho. There is no evidence that p < -0.5. (c) In a regression analysis of y on x, what proportion of variation in change of cortisol-binding globulin level could be explained by variation in…arrow_forwardThe authors of a paper presented a correlation analysis to investigate the relationship between maximal lactate level x and muscular endurance y. The accompanying data was read from a plot in the paper. 1,410 1,465 1,470 1,515 2,190 x 390 740 760 810 860 1,035 1,190 1,240 1,290 у 3.90 4.10 4.80 5.10 3.90 3.60 6.20 6.78 7.65 4.85 7.90 4.35 6.70 9.00 S = 2,619,058.929, S = 39.0467, S xx yy 7,588.061. A scatter plot shows a linear pattern. ху (a) Test to see whether there is a positive correlation between maximal lactate level and muscular endurance in the population from which this data was selected. (Use α = 0.05.) State the appropriate null and alternative hypotheses. O Ho: P = 0 H₂: p 0 Compute the value of the sample correlation coefficient, r. (Round your answer to four decimal places.) Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t P-value = State the conclusion in the problem…arrow_forwardProcedure: 1- Define your Cartesian 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. Tip: Pulley is a member Rope is not an element because it is flexible, but it shows the force (substitute it with a force) If the Structure has one element draw free body diagram for the element. Tips to show forces on the free body diagram: 3.1- Determine the type of the supports 3.2- Show the unknown support reactions with any assumed direction, BUT you cannot change the assumed force direction once you decide. 3.3- In a common joint, you can decide on the force direction in one element, however, in the other one you need to follow the Newton's 3rd law and show the opposite direction. 3.4- If you have multiple action forces in the system, find force components for each force independently. Use Sin/Cos/Tan…arrow_forward
- Procedure: 1- Define your Cartesian 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. Tip: Pulley is a member Rope is not an element because it is flexible, but it shows the force (substitute it with a force) If the Structure has one element draw free body diagram for the element. Tips to show forces on the free body diagram: 3.1- Determine the type of the supports 3.2- Show the unknown support reactions with any assumed direction, BUT you cannot change the assumed force direction once you decide. 3.3- In a common joint, you can decide on the force direction in one element, however, in the other one you need to follow the Newton's 3rd law and show the opposite direction. 3.4- If you have multiple action forces in the system, find force components for each force independently. Use Sin/Cos/Tan…arrow_forwardProcedure: 1- Define your Cartesian 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. Tip: Pulley is a member Rope is not an element because it is flexible, but it shows the force (substitute it with a force) If the Structure has one element draw free body diagram for the element. Tips to show forces on the free body diagram: 3.1- Determine the type of the supports 3.2- Show the unknown support reactions with any assumed direction, BUT you cannot change the assumed force direction once you decide. 3.3- In a common joint, you can decide on the force direction in one element, however, in the other one you need to follow the Newton's 3rd law and show the opposite direction. 3.4- If you have multiple action forces in the system, find force components for each force independently. Use Sin/Cos/Tan…arrow_forwardProcedure: 1- Define your Cartesian 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. Tip: Pulley is a member Rope is not an element because it is flexible, but it shows the force (substitute it with a force) If the Structure has one element draw free body diagram for the element. Tips to show forces on the free body diagram: 3.1- Determine the type of the supports 3.2- Show the unknown support reactions with any assumed direction, BUT you cannot change the assumed force direction once you decide. 3.3- In a common joint, you can decide on the force direction in one element, however, in the other one you need to follow the Newton's 3rd law and show the opposite direction. 3.4- If you have multiple action forces in the system, find force components for each force independently. Use Sin/Cos/Tan…arrow_forward
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