SG 3kN/m 1kN/m 2.4 m
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- Situation 2 | Beam ABCDEFG below is subjected to multiple loads as show. The total length of the beam is 10m. Analyze the beam completely. 6 kN 10 kN 3 kN/m 2 kN 5 kN-m G 3000mm. 1000mm 1000mm. 2000mm. 1000mm 2000mm.QUESTION 4 There are 47 dowels - 10M, each measuring 910 mm, in a continuous concrete footing. What is the total rebar weight (kg)? (The mass of 1OM is 0.785 kg/m): QUESTION 5 The total length of a concrete beam (400mm X 600mm) is 10,427 mm. there are stirrups 10M@200mm on centre in this beam and the concrete cover is 25mm. How many stirrups does this concrete beam have?For the simply supported beam subjected to the loading shown, derive equations for the shear force Vand the bending moment M for any location in the beam. (Place the origin at point A.) Let a=2.50 m, b=4.25 m, PB = 45kN, and Pc = 90kN. 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= Mi i B 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 a PB B a Pc a Pc C kN b KN b D X D₂ X
- For the beam presented below:a) What is the degree of indeterminacy; b) Determine the moment reactions at the supports and draw the shear and momentdiagrams. (Solve by expressing the internal moment in terms of vertical reactionsat A and B, EI is constant). c) What would the shear diagram look like if a transverse load P was applied right atthe middle of the beam (Make a sketch of the new shear diagram).For the simply supported beam subjected to the loading shown, derive equations for the shear force Vand the bending moment M for any location in the beam. (Place the origin at point A.) Let a=2.75 m, b=5.00 m, PB = 60KN, 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= tel tel a i B a 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 B a PB Pc a C Pc C KN b KN D b D X D₂ XFor a beam subjected to the load F at the center of the span as shown below, please 1. Find the maximum allowed load F, given a. Modulus of Rupture (MOR) of the material for the beam = 130 GPa b. Beam width b = 0.02m and depth d = 0.05m c. Span length L = 10m 2. If the maximum allowed load F is designed to be 40,000N, given all other conditions the same, what is the minimum MOR required for the material to make the beam? 3. If the maximum allowed load F is designed to be 50,000N, given all other conditions (MOR = 130 GPa) the same, what is the minimum depth d required? F b ✰ d ↓ D L
- 2. For the 20 meter beam shown, there is a roller at "A" (Ay = 52 kN; it is acting upward), and a pin joint at "B" (By=-- 17 kN; it is acting downward). (a) Draw complete shear force and bending moment diagrams. (b) If x=0 is at the left end of the beam, write equations for the shear force and bending moment, and indicate the appropriate sections. (You may use the table on the next page.) 50 KN 15 KN A 90 kN-m 2 m3 m -5 m B *4 -7 m 120 kN-m € 3 mH.W. 1 / Find the reactions of the simply supported beam shown in Figure below 6 kN/m 20 kN A Fig. 1. 2m 2m 3 mFor the beam shown, use only singularity functions. V₁ = 45 lbf/in and V/₂ = 5 in. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 0 1400 lbf Hinge JA B₁ C R₂ R₁ 4 in 4 in 2 in V1 V2 D R₂ + What is the value of the peak moment between points Cand D? The peak moment between points C and Dis Ibf.in.
- Derive the formula for the bending stress of a beam with a rectangular cross section and triangular cross secrion. Thank youLet a = 4 m, b = 1 m, PB = 30 kN, Pc = 40 kN, and PE = 15 KN. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts PB B a Pc a PE E Calculate the reaction force Ay acting on the beam. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) Final answer in kN rounded-off to 1 decimal placeFor 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