10a-Bending_Stresses_in_Beams

a) i) The numerical value of plastic section modulus of the solid rectangular section is mm^3 ii) The numerical value of plastic moment of the solid rectangular section is N.mm   b) The numerical value of ?t can be calculated as mm

Elastic Properties of Materials 4. A cylindrical bar of steel 10 mm (0.4 in.) in diameter is to be deformed elastically by application of a force along the bar axis. Using the data in Table given below, determine the force that will produce an elastic reduction of 3 × 10¯³mm (1.2 × 10-4 in.) in the diameter. Metal Alloy Aluminum Brass Copper Magnesium Nickel Steel Titanium Tungsten Modulus of Elasticity GPa 69 97 110 45 207 207 107 407 106 psi 10 14 16 6.5 30 30 15.5 59 Shear Modulus GPa 25 37 46 17 76 83 45 160 106 psi 3.6 5.4 6.7 2.5 11.0 12.0 6.5 23.2 Poisson's Ratio 0.33 0.34 0.34 0.29 0.31 0.30 0.34 0.28

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vi) Using Macauley's method, determine the deflection of the member at the locations where the 25 kN, 20 kN and 50 kN point loads are applied. Comment on how the maximum deflection of the member could be determined. 1 Engineering Design & Analysis 2 25 kN Delta Strain 20 kN Gauge 5 kN/m 50 kN D=100 mm ! 5.75 kNm 8 kN/m 110.kN _7.5MIN/m2 1.5m l0.5m l0.5ml 0.75m 0.5m| t=15 mm 4m Ес 3 375x10-5 Ев — 550х10-6 Data: Material properties for steel: Maximum allowable tensile stress = 750 MN/m? Maximum allowable torsional shear stress = 375 MN/m? %3D Young's Modulus of elasticity = 205 GN/m² Modulus of rigidity = 81 GN/m? Poisson's ratio = 0.31 EA = 880x106 %3D Delta Strain Gauge Readings at Point X on Member

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Draw shear force and bending moment diagrams

A copper wire has a radius of 3.5 mm. When forces of a certain equal magnitude but opposite directions are applied to the ends of the wire, the wire stretches by 5.0×10^-3 of its original length. Young's modulus for copper is 11×10^10 Pa What is the magnitude of the force on either end?

P4 Alyear 1 4 N-1 N End of Year Interest = i%/year %3D

MC1) [LO1: 2 pts] Curved structural member AB is pinned at two locations and always operates in compression. What best describes the internal normal force N, shear force V, and internal bending moment M right at the cut surface? до A ? B A

Mechanics of material Second question

An elevator weighs 1000 lbs and is supported by a 5/26 inch diameter cable, 1500 feet long. When the elevator carries a 1500 Ib, the cable elongates 6 inches more. What is the modulus of elasticity of the cable? A 609x10^7 psi B) 460x10^7 psi 5.87x10^7 psi D 231x10^7 psi

Learning Goal: To calculate the shear stress at a point in the web of an l- beam section subjected to a shear force. When a beam section is subjected to a shear load, a shear stress distribution is developed on the section. The distribution of the shear stress is not linear. Elasticity theory can be used to calculate the shear stress at any point. However, a simpler method can be used to calculate the average shear stress across the width of the section, a distance y above or below the neutral axis. The average VQ shear stress is given by T = Here V is the shear It force on the section, I is the moment of inertia of the entire section about the neutral axis, and ₺ is the width of the section at the distance y where the shear stress is being calculated. Q is the product of the area of the section above (or below) y and the distance from the neutral axis to the centroid of that area (Figure 1). In short, Qis the moment of the area about the neutral axis. Figure 1 of 1 An I-beam has a…

For the stress-strain curves below, which statements are correct? Stress (MPa) 60 50 40 30 20 10 0 0 A B C. 1 2 3 4 Strain 5 6 7 8 a. The mechanical behavior shown in C is that of an elastomer with low elastic modulus b. While the deformation in polymer A is fully reversible until breakage, polymer B and C only display reversible deformation until 0.1X and 5x elongations respectively The mechanical behavior shown in B is that of an elastomer with low elasticity d. Polymer B and C have an elastic behavior whereas A has a plastic behavior e. The polymer with the necking behavior has the highest strength Of. The polymer with brittle nature is the one that possesses the highest elastic modulus

1) A cylindrical rod of constant shear modulus, G is of length L and located between z=0 and z=L. It has a polar moment of inertia given by J=(Jo)/(1-Z/L) and t=-sin(πZ/2L)where Jo is a constant.The boundary conditions are dΦ(o)/dz =0 AND Φ(L)=0 Find Φ(z) and graph (1/GJo)Φ(Z),  and (1/GJo)(dΦ(Z)/dz) ?

5. Please calculate the strain and stress in the following two prompts a. A 1 cm long section of tendon stretches to 1.011 cm when it is subjected to a tensile force of 40,000 N. What is the strain in this segment of tendon? @? 17 b. The section of the patellar ligament in the previous question is 0.02 m² in the cross section. What is the stress in this section of ligament as a result of 50,000 N tensile force? E = Δι 19 0 = A 1.011 cm 50000 0,02 Scoco 40000 1.25 = T % 2500000 strain N/m² on trito flox your wrist, you may notice that your

Using them equations below by integrating them