Example 1 The bar is subjected to a moment of M = 17.5 N.m. If r = 5 mm, determine the maximum bending stress in the material. 80 mm 7 mm 20 mm M M

An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 620 mm. The cross-sectional dimensions of the beam are b₁ = 39 mm, d₁ = 94 mm, b₂ = 23 mm, d₂ = 23 mm, and a = 8 mm. For this material, the allowable tensile bending stress is 17 MPa, and the allowable compressive bending stress is 11 MPa. Determine the largest moment M that can be applied as shown to the beam. ak a ↓ a M B A Answer: M = i L N•m b₁

The allowable bending stress for the bar is oallow = 200 MPa 80 mm 20 mm 10 mm 10 mm M 10 mm Part A Determine the maximum moment M that can be applied to the bar. Express your answer to three significant figures and include appropriate units. ? M = Value Units

An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 600 mm. The cross-sectional dimensions of the beam are b₁ = 36 mm, d₁ = 112 mm, b₂ = 22 mm, d₂ = 22 mm, and a = 7 mm. For this material, the allowable tensile bending stress is 15 MPa, and the allowable compressive bending stress is 9 MPa. Determine the largest moment M that can be applied as shown to the beam. b₂ ak ak ✓ a M B L A Answer: M = i N•m d₂

Use the graphical method to construct the shear-force diagram and identify the magnitude of the largest shear force (consider both positive and negative). The ground reactions at the wall of the cantilever are provided. L1= 14.00 ft L2 = 7.75 ft Vc = 87.00 kips Mc = 621.875 kip-ft 20 kips 70 kips 12 kips/ft 6 kips/ft Mc A В L1 L2 99.00 kips O 110.00 kips O 75.00 kips O 64.00 kips O 87.00 kips

Given the beam shown below, determine the shear force and bending moment at point C. Given the dimensions a = 2 m, b = 5.9 m and c = 2 m, and the load intensities e = 10 kN/m and f = 2 kN/m. e kN/m f kN/m am bm cm A B D Shear force (observe the up on the left, down on the right positive sign convention): SFc = Number Units (tolerance 0.2 kN) Bending moment (observe the sagging positive sign convention): BMc = Number Units (tolerance 1 kN*m)

The bar is subjected to a moment of M = 100 N # m. Determine the maximum bending stress in the bar and sketch, approximately, how the stress varies over the critical section.

The beam is subjected to an internal moment of M = 122 kN.m (Figure 1) Figure 30 mm, C. B 150 mm. M 150 mm 300 mm. 2 4 30 mm 1 of 1 ▼ Part A Determine the bending stress developed at point A. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. A=148 Submit Part B μÁ MPa www Previous Answers Request Answer R= 624 MPa X Incorrect; Try Again; 4 attempts remaining ? Determine the bending stress developed at point B. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension.

consider a beam with two 60-inch-long rods. The rods have a cross section area of 0.50 in 2 . Find the axial stress in each rod, draw the shear and moment diagrams for the beam, and find the maximum stress in the beam.

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