A beam carrying an allowable actual moment of -38 KN- m is reinforced as shown. If the the concrete is normal weight and f'c = 25MPa and fy = 420MPa. Determine the following: a. The cracking moment of the beam. b. The transformed moment of Inertia. c. The actual tension steel stress. d. Check the stress if it is correct by force checks. mm www.009 4-020 О 140 mm 300 mm 170 mm * 170 mm: ww.08 ✓ 60 mm
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- GIVEN: Solid alumınum bar shown: 4 in. by4 in. E = 10 x 10° psi oy = 36 ksi 4000 2000 1b 4000 16 B 12' REQ’D: A) Load in each section of the bar (state whether C or T) PAB = Pac PCD = B) Maximum axial stress in the bar. In which section does this occur? C) Final length of the barRequired information Consider the loading shown. The allowable normal stress for the steel used is 160 MPa. 0.8 m 50 kN/m B -2.4 m- 0.8 m For the selected design, determine the actual value of Om in the beam. (Round the final answer to one decimal place. You must provide an answer before moving to the next part.) The actual value of om in the beam is 160 MPa.Q/ Find the Maximum stresses in Steel and Aluminum. Est= 210G pa and E al%3D 70 G pa ? W= 15 Kn.M 120mm 5m Al steel 60mm 140 mm
- a)Find the stress (in psi) in the concrete.b)Find the stress (in psi) in the steel. c)Find the total axial deformation (in inches) of the column.dae 11.25 kips st steel ∙Alum in um A fully bonded aluminum Outer shell and Steel inner core bar is axially loaded. Find the ✓1.25 kips normal stress for the alum', num outer shell. Answer in ksi Given: EA = 11,000 ksi Al Est = 29,000 ks; XAL = 13.5 x 10-6 Y OF Xst = 6.5 x 10-6 1/F dAl = 1.0 in. dst = 0.25 in. AT = 65 °FThe wooden beam shown is made by gluing together planks as shown. 8 kN/m Glue 80 mm A B 80 mm - NA 6 m 80 mm 160 mm Determine the maximum shear stress in the glue in kPa. (2 decimals)
- The compound bar carries axial loads as shown. Determine the maximum allowable value of P if the change in length of the entire bar is limited to 0.08 inch and the working stresses listed in the table are not to be exceeded. Steel 2 ft Bronze 4 ft Aluminum 3 ft 2P 3P 4P A (in.?) E (psi) a. (psi) Steel 0.75 30 x 10 20000 12 x 10 10 x 10 Bronze 1.00 18000 Aluminum 0.50 12000Determine the prestressing steel area required for the precast concrete T-beam. Use the following data: Total moment = 250 kN-m Effective stress fse= 862 MPa Allowable concrete stress = f.=11 MPa Consider zero stress at the bottom of the beam I=3673x106 mm4 A=103125 mm² Eccentricity = 271.6 mm Centroid of steel is located at 100 mm from the bottom of the beam. Select one: a. 591.97 mm b. 789.29 mm 2. C. 443.98 mm 2. d. 986.61 mm1. Differentiate the permanent and the variable action with suitable examples 2. Analyze the stress-strain relationship of steel. Notes : Internal forces Fcc = 0.567fck(b x 0.8x) = 0.454 fck bx Fst = 0.87 fyk As Moment of resistance with respect to steel, M = Fcc.z Moment of resistance with respect to concrete, M = Fst.z Mbal = Kbal fck bd2 where Kbal = 0.167 As ‘ = (M-Mbal) / 0.87 fyk (d-d’) As = Mbal / 0.87 fyk zbal + As’
- The modulus of elasticity of "reinforced concrete" in RC design, is O A. 420 GPa B. 200 GPa C. None () D. 220 GPaThe properties of the reinforced concrete beam are b = 308 mm, d = 486 mm, Ast = 1366 mm2, and Est / Eco = 10. If the working stresses are 18.8 MPa for concrete and 106.7 MPa for steel, determine the largest bending moment (in Nm) that may be applied safely. Round off the final answer to three decimal places. -b- d ΝΑ Ast (total area)The point loads are placed at the fixed positions shown in the figure and they are live loads. A k a b a b dn = 1₂ Icr= M B 7 Ast Stress profile (concrete) Cross section before cracking Aso Cross section Asc Ast N.A. Q2) Now, the live load increases gradually and the moment at the critical section just exceeds the cracking moment (Mcr), but the compressive section of the concrete is still under the linear elastic region. Please be reminded that in the flexural design, the crack of the concrete section starts where the tensile stress reaches the tensile strength. It is assumed that the cracks then propagate rapidly up to the entire tension section (up to the neutral axis) and this cracked concrete section cannot resist the tension. It should be noted that in reality, concrete sections between the primary cracks can still resist some tensile stresses as shown in the figure, which should be considered in the displacement design. However, in flexure design, we design the critical section…