For the beam illustrated in the figure, find the locations and magnitudes of the maximum tensile bending stress due to M and the maximum shear stress due to V. Parameters are a = 320 mm, b= 140 mm, c = 21 mm, h= 38 mm, and F= 4400 N. |--4 a mm mm E mm The moment of inertia is 96x105 mm4 The maximum tensile bending stress due to Mis 557.2 MPa. The maximum shear stress due to Vis 2.518 MPa.
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- For the beam illustrated in the figure, find the locations and magnitudes of the maximum tensile bending stress due to M and the maximum shear stress due to V. Parameters are a = 310 mm, b= 135 mm, c = 20 mm, h = 40 mm, and F= 4350 N. a mm FN bmm The moment of inertia is C mm hmm |x105 mm4. The maximum tensile bending stress due to Mis The maximum shear stress due to Vis MPa. MPa.For the beam illustrated in the figure, find the locations and magnitudes of the maximum tensile bending stress due to M and the maximum shear stress due to V. Parameters are a = 290 mm, b= 135 mm, c = 20 mm, h = 39 mm, and F = 4300 N. a mm FN bmm C mm hmm The moment of inertia is 6.673x105 mm4 The maximum tensile bending stress due to Mis The maximum shear stress due to Vis 0 MPa. * MPa.For the beam illustrated in the figure, find the locations and magnitudes of the maximum tensile bending stress due to M and the maximum shear stress due to V. The parameters are a = 5.5 in, b = 16 in, c = 0.8 in, h = 2 in, F₁ = 2900 lbf, and F2 = 1000 lbf. F1lbf I O a in A A F21bf cin b in Bain C The moment of inertia is h in in4 The maximum tensile bending stress due to Mis The maximum shear stress due to Vis psi. psi.
- The beam is subjected to an internal moment of M = 90 kip. ft. (Figure 1) Figure 3 in. 1.5 in. 3 in M 6 in. 2 in. 1 of 1 > Part A Determine the maximum compressive and tensile bending stress in the beam. Enter your answers in kilopounds per square inch to three significant figures separated by a comma. IVE ΑΣΦ (max)c. (max)T= Submit Provide Feedback Request Answer vec www ? ksiFor the beam illustrated in the figure, find the locations and magnitudes of the maximum tensile bending stress due to M and the maximum shear stress due to V. The parameters are a = 5 in, b = 15 in, c = 0.8 in, h = 1.8 in, F₁ = 2900 lbf, and F₂ = 1000 lbf. H O a in A b in Bain C y F1lbf The moment of inertia is The maximum tensile F21bf cin h in in4. stress due to Mis The maximum shear stress due to Vis psi. psi.A 20KN/m 4m R₁ R₂ Compute the following: (1-2) Vc = ((3-4) Mc (5-6) V₁ = (7-8) MD= (9-10) Max. Moment occurs @ x = _____m from left support. (11-15) Draw completely the shear and bending moment diagrams( do this below the load problem). C 10 KN 4m = D B 2m
- Find the max shear stress in a 200mm tall, 150mm wide rectangular cross section using the appropriate reduced shear stress equation. Assume Vmax = 12kN. Find the max shear stress in a W12x50 cross-section using the appropriate estimated shear stress equation. Assume Vmax = 236kips. Find the max shear stress in bending in the cross section below if Vmax = 10 kips. 10" Flange 2" Web 2" 8" Flange 2" 10" • Identify where in the cross section the max shear will occur. • Determine the thickness of the cross-section at the location you wish to find shear stress. • Calculate the Ix for the shape (assume bending in the x with most basic beams). • Calculate Q by dividing the section into two pieces at the point you want shear stress. Select one of the pieces (either will work), I picked the top piece. • Use the Shear Stress equation to determine the requested stress. • Compare you answer: Max shear stress = at the center of the cross section.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)For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a-3.25 m, b=4.75 m, Pg - 35kN, and Pc = 80kN. Construct the shear- force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. A Ay- 58.66 - Dy- Calculate the reaction forces A, and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) Answers: a 56.33 (a) V= (b) V- (c) V- B i i PB B kN с kN C Determine the shear force acting at each of the following locations: (a) x-2m (b)x - 4 m (c) x-8 m Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. 3 3 3 KN D b kN D ·x Dy
- Q/ For the beams and loading shown below. A-Draw the shear force and bending-moment diagrams. B- Determine the equations of the shear force and bending-moment curves for the segments CD in Figure 2 C- Compute the bending stress at point (a) on section C. D- Determine the values and locations of the maximum tensile and compression bending stresses. Figure (2) R Point a Radius of hole: 40kN 0.5m 30 20KN/m 0.7m A B D |B 1m Im 3m Radius = R= 100 mmFor the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a-3.25 m, b=4.75 m, Pg = 35kN, and Pc = 80kN. Construct the shear- force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. Answers: Ay= Dy = a M. B a PB Calculate the reaction forces Ay and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) PB Pc a Pc kN b KN D b D X D X3. For the structure carrying a uniform load of 4 kN/ m, compute the internal axial force, shear force, and Answer: Vc = 2 kN, Mc = 4 kNm, Nc = 24 kN bending moment at point C in the beam. 4 kN/ m |C B 3 m 2 m -2 m 2 m