HW 11 Solutions Virtual Work Method 2023

12. Figure Q12 shows a prospective design for a conveyor roller system, for transferring crates, one at a time. The system is made up of two parallel rectangular steel beams, built-in at one end and simply supported at the other, with closely spaced rollers mounted in-between, for the crate to pass over. a) Using Macaulay notation, carry out an analysis of the problem and calculate the deflection of the mid-length point of the beams when the crate is centrally located, midway between A and B. State any important assumptions used in your analysis. [20 marks] b) Comment briefly whether this would be the maximum deflection of the beams when the crate is centrally located. 2 m 8 m A Direction of travel Figure Q12 (side view, only one beam visible) Useful information I for each separate beam = 12 ×10 m² E for both beams = 210 GPa Weight of one crate = 800 N [5 marks] B

Question No 3 Use both IC method and regular (vector/scalar) method Given: ASF. Angular velocity of link AB = 10 rad/s. Required: (1) Angular velocity of link BC, (2) Angular velocity of link CD, (3) Vc at shown instant and (4) show directions on the sketch (5) Draw deflection line (on ONE separate sketch for angles 30, 45 and 60 degrees 0.2 m 0.4 m 0.2 m B 300 A @=10 rad/s

The built-up beam is subjected to a moment of M = 80 kNm. d₁ d₂ d3 d₁ d5 d3 do wamap.org Value d₂ Values for the figure are given in the following table. Note the figure may not be to scale. Variable 128 mm 22 mm 276 mm 11 mm 138 mm d4 12 mm M₁ de d5 a. Determine the distance from the Neutral Axis to the top of the beam, NA. b. Determine the mass moment of inertia of the beam, I. Determine the max compressive stress acting on the c. beam, compression. d. Determine the max tensile stress acting on the beam, Tin

13. You wish to raise a 1700 kg steel beam straight up by 50 m. You have a 1000 m long ramp and a pulley system with 10 sets of pulleys and you can use either to lift the steel beam. Which would be the easiest to use?

Needs Complete typed solution with 100 % accuracy.

For the simply supported beam shown below: O 4klf 98 downward 116 upward 70 downward 15' 104 downward 0 The vertical reaction in kips at A (Ay) is mostly near____ 70 upward 116 downward 98 upward 104 upward 150k B 30k с 151 -3xlf

Part 1 Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 ft, b-9.0 ft, c-5.0 ft.d-4.0 ft. w- 10.5 kips/ft and P-117 kips. 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 D For this loading, calculate the reaction forces A, and Ey 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: Ay= D d 2 kips, Ey E kips Part 2 Determine the shear force acting at each of the following locations: (a)x=0+ ft (l.e., just to the right of support.A) (b)x=4,0 ft (c) x-13.0 ft (d) x-18.0-ft (le, just to the left of D) (e)x= 18.0+ ft (l.e., just to the right of D) (f)x=22.0-ft (ie, just to the left of support E) When entering your answers, use the shear force sign convention.…

need help with this review question Engineering of materials

Hello Sir,Good Afternoon. I have a question in my home work related Statistic Structure lesson, the following below is my question. Please advise. Thnak you so much