N for Newton,  m for meter,  mm for millimeter,  N/(mm^2) for Stress,  mm^2 or m^2 for Area,  mm^4 for Moment of inertia and   Nm for bending moment. Use brackets if the power is MINUS for Example: 0.00125 N =1.25*10^(-3)N. A beam has a bending moment of 3 kN-m applied to a section with a hollow circular cross-section of external diameter 3.4 cm and internal diameter 2.4 cm . The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.6 cm from the neutral axis Solution: (i) The moment of inertia =  ii) The radius of curvature is  (iii) The maximum bending stress is

Q: The strut on the utility pole supports the cable having a weight of P = 300 lb. (Figure 1) Figure…

A: Given:The weight is .Free body diagram:     The triangle is obtained by multiplying by 2 for…

Q: An extruded polymer beam is subjected to a bending moment M. The length of the beam is L= 800 mm.…

A: Answer: The largest moment M that can be applied to the beam is 494.6 N•m.

Q: the maximum bending stress in the CFRP

A: For a simply supported beam with point load at its mid-span, maximum bending moment isSubstitute all…

Q: find second moment of area for cases 4-7

A:

Q: 1. Find the resultant force in a brass beam from a normal stress of 98 MN/m2 with a square…

A: Answer 1: σ=98 MN/m2s=12 mm Need to determine the resultant force in a brass beam.

Q: P L The deformation of a simply supported beam under a distributed load p, shown in the figure…

A: Find the solution of the system in exact and numerical methods and compare the result

Q: I₂ = 18×106 mm¹ 2.40 m 23.20 kN-m 180.00 mm 1 For the beam and cross section shown, compl maximum…

A: GivenM=23.20 kNm=23.20×106 NmmIz=18×106 mm4y¯1=180mmy¯2=120mm

Q: The beam is subjected to an internal moment of M = 60 ip-ft. Figure 1) Figure (101 ▾ Part A…

A: According to the given data M=60kip.ft We need to find  Maximum Compressive and tensile stress

Q: For the simply supported beam with loads as shown below, find out the values of shear force and…

A: For the simply supported beam with loads as shown below,Find out the values of shear force and…

Q: Write the shear and moment equations for the beam loaded as shown below. A RA 2.0 m 80 kN B w = 10…

A:

Q: Plot the deflection of a beam with a length of 3 m, the modulus of elasticity of E = 200 GPa, and I…

A: Length of the beam→L=3 m Modulus of elasticity→E=200 GPa Moment of inertia→I=1.2×106 mm4 Weight of…

Q: A rectangular beam with two notches (with radius r = 2.5 mm) is shown in Figure 1.1. The beam has…

A:

Q: Find the maximum bending moments in the X and Y directions. Given: depth, h=152mm

A: The specification of the I section of the beam is given. But the length of the beam, strength and…

Q: Solve beam problem pictured below. Use a values of E of 210GPa, A=2*10^-2 m^2, l=5*10^-5 m^4, L=2m,…

A:

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.