The compound beam is fixed at E and supported by rollers at A and B. There are pins at C and D. Take F 1700 lb. (Figure 1) Figure F 800 lb 600 lb 01 C D E -5 ft- 10 ft 5 ft 4 ft 6ft 5 ft- 1 of 1
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- Solve Problem 11.3-3 for a W 10 × 45 steel column having a length L = 28 ft.Repeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.X Your answer is incorrect. A flanged wooden shape is used to support the loads shown on the beam. The dimensions of the shape are shown in the second figure. Assume LAB - 8 ft, Lec-2 ft, Lco-3 ft. LDE-3 ft, Pc- 1870 lb. PE-2190 lb, WAE-650 lb/ft, b₁-9 in., b2-2 in., b3-6 in., d₁-2 in..d₂-7 in., d3-2 in. Consider the entire 16-ft length of the beam and determine: (a) the maximum tension bending stress o at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. Answers: WAB LAB (a) GT = (b) σ, = i i 402.3 558.1 B Pr LBC by C IH by LCD b₂ psi. psi. D d₁ LDE dz dy РЕ E
- A flanged wooden shape is used to support the loads shown on the beam. The dimensions of the shape are shown in the second figure. Assume LAB - 8 ft, Lac-3 ft. Lco=3 ft. Loe-3 ft. Pc-2070 lb. Pe- 1830 lb. WAB=930 lb/ft, b₁-9 in., b₂-2 in., b3-6 in., dj-2 in., d₂-8 in, dj-2 in. Consider the entire 17-ft length of the beam and determine: (a) the maximum tension bending stress oy at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. WAS LAB B Lac by C LCD D dj Loc E O. AskIn the given figure, support A is a roller and support B is a pin support. If P=15 kips, calculate the 1) vertical reaction at A, 2) vertical reaction at B, 3) horizontal reaction at B P 6 kips 6 kips В 6 ft – 3 ft 2 ft ' 2 ftFigure -2 m B 4 m 1 of 1 1.5 kN/m Part B Draw the moment diagram for the beam. Follow the sign convention. Click on "add vertical line off" to add discontinuity lines. Then click on "add segment" button to add functions between the lines. Note 1 - Make sure you place only one vertical line at places that require a vertical line. If you inadvertently place two vertical lines at the same place, it will appear correct visually because the lines overlap, but the system will mark it wrong. Note 2 - Draw a vertical line to denote local maximum or minimum. Note 3 - The curve you choose from the drop-down is only a pictorial representation of a real quadratic/cubic curve. The equation of this curve is not mathematically equivalent to the correct answer. Consequently, slopes at discontinuities and intercepts with the x-axis (if any) are not accurate. + i No elements selected M (kN-m) 2.07 1.5 1.0 0.5 0.0 C -0.5- -1.0. -1.5 -2.0 -2 m- Add discontinuity lines and select segments to add to the…
- 4. Calculate the internal forces at D for the Beam in Figure 4. A 400 lb/ft -6 ft- (1) ID -3 ft- B1. Question: With a pin on the AB beam A and a short lever BC as shown in the figure is supported. A, B and C pins have a diameter of 18 mm. P and a are given together Take as values given opposite your names in the table. This upload is above, below in your name on the pin (column 5 Calculate the shear stress occurring on only one of the specified pins A, B and C). P(kN)=30 a(0)=60 pin=A 4P 2P 0.5 m 4P 0.5m 1.5 m 1.5 m BA 60 mm diameter shaft AB is rigidly attached to the beam CDFH of 30 mm by 40 mm rectangular cross-section as shown in Figure Q4. The beam is pin supported at C and H. A torque of 2 kN.m (moment about z axis) is applied to end B of the shaft. Determine: (a) the reactions at supports Cand H, (b) the rotation about z axis of end B of the shaft by using Castigliano's second theorem, (c) the slope (rotation about z axis) at point C of the beam by using Castigliano's second theorem. The shaft and the beam are made of an aluminum alloy for which E = 72 GPa and G=27 GPa. Assume that the hub DF is rigid and neglect the strain energy due to transverse shear.
- A flanged wooden shape is used to support the loads shown on the beam. The dimensions of the shape are shown in the second figure. Assume LAB = 8 ft. LBc = 2 ft, LCD = 4 ft, LDE = 4 ft, PC= 1850 lb, PE = 2160 lb, WAB = 830 lb/ft, b₁ = 10 in., b₂ = 2 in., b3 = 6 in., d₁= 2 in., d₂ = 11 in., d3 = 2 in. Consider the entire 18-ft length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. Answers: (a) σT = (b) a = i WAB LAB 666.41 864.39 B Pc 1 LBC b₁ b3 C LCD -b₂ psi. psi. D d₁ d3 LDE PE E XA flanged wooden shape is used to support the loads shown on the beam. The dimensions of the shape are shown in the second figure. Assume LAB = 8 ft. LBc=2 ft, LCD= 4 ft, LDE= 4 ft, Pc = 1850 lb, PE = 2160 lb, WAB = 830 lb/ft, b₁ = 10 in., b2= 2 in., b3 = 6 in., d₁ = 2 in., d₂= 11 in., d3 = 2 in. Consider the entire 18-ft length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. Answers: (a) σT = (b) a = WAB LAB i 545.779 706.391 B Pc LBC b₁ b3 C LCD -b₂ psi. psi. D ↓ d₁ LDE d₂ PE EA flanged wooden shape is used to support the loads shown on the beam. The dimensions of the shape are shown in the second figure. Assume LAB = 8 ft, Lac = 2 ft, Lcp = 4 ft, LDE = 4 ft, Pc= 1850 lb, PE = 2160 lb, WAB = 830 lb/ft, b1 = 10 in., b₂ = 2 in., b3 = 6 in., d₁ = 2 in., d₂ = 11 in., d3 = 2 in. Consider the entire 18-ft length of the beam and determine: (a) the maximum tension bending stress o at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. Answers: (a) OT = (b) oc= i i WAB LAB B Pc LBC b₁ b3 C LCD -b₂ psi. psi. D d₁ LDE d₂ d3 PE E X