Which among the formulas below can be used to compute the combined stress at the bottom fiber of a bea subjected to axial compression and negative bending moment? + P/A - Mc/I O+ P/A+ Mc/l O P/A-Mc/I O P/A + Mc/l
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- Which among the formulas below can be used to compute the combined stress at the bottom fiber of a beam subjected to axial tension and negative bending moment? O+P/A + Mc/l O P/A-Mc/I 2PIA+Mc// O + P/A - MC/lWhat is the value of reduction factor of the beam, if the stress in the steel is 400 MPa, and the Modulus of Elasticity of the Steel is 200,000 MPa. O 0.671 0.692 O 0.660 O 0.650 None of the Choices O 0.681A composite bar is rigidly attached to the wall at A as shown in the figure. Axial loads are applied at the positions indicated. 3 m 2.5 m C 1200 kN 900 kN 80mmØ 100mmØ E = 83 GPa Bronze E = 200 GPa Steel Which of the following most nearly gives the deformation of C? a. -0.7855 mm О Ъ. +0.8575 mm c. +0.7855 mm o d. - о.8575 mm
- } 8) A tensile load of 3000 N is applied to a steel bar of cross-sectional area 500 mm?. If a tensile load was applied to an aluminum bar to achieve the same lateral (transvers) strain with the former (steel bar), what would be the load? Note: Original dimensions of the two bars are the same (Est = 2.1 x 105 MPa, Eat = 0.703 × 105 MPa, vg = 0.3, vat = 0.33) E = º , v = - Saterat Eaxial Fatuminum™ 3000 N A-500 mm² A=500 mm² Fatuminum=? 3000 N Steel AluminumTopic: Stresses in Beams Instructions: Find the value of: y = C = A' = y' = I =Which among the formulas below can be used to compute the combined stress at the bottom fiber of a beam subjected to axial tension and negative bending moment? 1 Question 2 a.+ P/A + Mc/l b.+ P/A- Mc/l c.- P/A + Mc/l d.- P/A - Mc/l
- Which among the formulas below can be used to compute the combined stress at the bottom fiber of a beam subjected to axial compression and negative bending moment? a.- P/A + Mc/l b.+ P/A - Mc/l c.+ P/A + Mc/l d.- P/A - Mc/lProblem #3: A wide-flange beam, constructed with A572 steel, is cooled to -30°C and is subjected to dynamic loading. There is an edge crack in the top flange of 16 mm, as demonstrated in the figure below. Hints: ● 7.5 mm ● crack a 13.1 mm X 203 mm Cross-Section 303 mm a = 16 mm -203 mm- Sg Determine the bending moment about the x-axis that will cause brittle fracture of the beam. Note that negative bending causes the top flange to be subjected to tensile stresses. Top View of Flange 13.1 mm As illustrated in the figure above, treat the top flange as an edge-cracked tension member. Use the simplified expression for computing K, but still verify that it applies. The average stress in the top flange can be determined by an My/I calculation, as opposed to a P/A calculation from previous problems. Compute y based on the mid-depth of the top flange. Ignore the "fillets" (i.e., the rounded portions of the I-section) when calculating the moment of inertia, I.PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN 0.8m 0.4m B 5KN 0.6m AL 20KN What is the deformation &pE in mm? A=800 mm² A=1,200 mm²
- section consisting of copper and steel carries compression force P. The properties of the materials are as follows: A composite an axial STEEL COPPER Area 900 mm? 1,200 mm2 Modulus of elasticity 200 GPa 120 GPa Allowable compressive stress 140 MPa 70 MPa Calculate the maximum load the member can carry so that the allowable stresses are not exceeded. If the allowable strain for both materials is 0.0005, calculate the maximum load the member can carry so that this allowable strain is not exceeded.PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN 6) What is the deformation &c in mm? 0.8m 0.4m B 5KN 0.6m 20KN A=800 mm? A=1,200 mm²The bending stress in beams is dependent to the following except Group of answer choices a. fiber distance from the neutral axis b. bending moment c. elastic modulus d. bending stress