Structural Analysis (MindTap Course List)
5th Edition
ISBN: 9781133943891
Author: Aslam Kassimali
Publisher: Cengage Learning
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Chapter 3, Problem 14P
To determine
Find the expression for vertical reaction at the supports in terms of distance x.
Sketch the graph for reactions as a function of x.
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the weight of car moving at a constant speed on a beam bridge. ia modeled as a single concentrated load as shown in fig p3. 14. determine the expressions for the vertical reactions at the supports in terms of the posittion of the car as measured by the distance x and plot the graphs showing the variations of these reaction as function of x
10.29. The symmetrical frame shown in Fig. P10.29 supports a uniform loading of p per unit length.
Assume that each horizontal and vertical member has the modulus of rigidity E₁I₁ and E212,
respectively. Determine the resultant reaction R4 at the left support, employing Castigliano's
theorem.
Figure P10.29.
A beam supports a load varying uniformly from an intensity of w N/m at the left end to p N/m at the right end. Find the values of w and p to cause the reactions shown in Figure M03
Chapter 3 Solutions
Structural Analysis (MindTap Course List)
Ch. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10P
Ch. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42P
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- QUESTION THREE 3.1 Determine the reactions and the force in each member of the truss supporting a floor deck as shown in Figure Q3. The deck is simply supported on floor beams that, in turn, are connected to the joints of the truss. Thus, the uniformly distributed loading on the deck is transmitted by the floor beams as concentrated loads to the top joints of the truss Ignore the self-weight of the floor beams 3.2 Represent your results of the reactions and axial forces obtained in Q3.1 on the truss Floor beam Deck 15 kN/m B C ID 2 m F G t2 mt-2 m--2 mt-2 m-- 2 m+2 m+2 mt-2 m-|arrow_forwardLearning Goal: To determine reaction forces acting on coplanar structures using the equations of equilibrium. The reaction forces of statically determinate structures can be determined by applying the three equations of equilibrium. A structure or any of its members are in equilibrium when a balance Figure -3 m- 15 kN -1.5 m- D 4 kN 10 kN m B H < 1 of 3 6 kN Part A Cantilever beam Determine the reactions at fixed support A of (Figure 1). Express the values of Az, Ay, and M₁ to three significant figures separated by commas. ► View Available Hint(s) Az, Ay ΜΑ Submit [ΕΙ ΑΣΦ vec 11 Request Answer Review ? kN kN, kN.marrow_forwardAnswers in 2 Decimal places Find the vertical reaction in support A (RAy), horizontal reaction in support A (RAx), horizontal reaction in support B (RBx) and horizontal reaction in support B (RBy)arrow_forward
- Learning Goal: To determine reaction forces acting on coplanar structures using the equations of equilibrium. The reaction forces of statically determinate structures can be determined by applying the three equations of equilibrium. A structure or any of its members are in equilibrium when a balance Figure 4 m B 3 m D 6 kN/m 3 of 3 4 kN/m Part C Three-member frame Determine the reactions at supports A and D for (Figure 3). Assume A, B, and Care pinned and D is fixed. Use the sign convention F. +F, and Mo to indicate the direction of each reaction. Express the values of Az, Ay, Dz, Dy, and Mp to three significant figures separated by commas. ► View Available Hint(s) Az Ay₁ Dz. Dy. Mp Submit IVE| ΑΣΦ vec Provide Feedback Review ↓↑ ? kN kN, kN, kN. kN. m Next >arrow_forwardAsaparrow_forwardA light pin jointed frame is shown not to scale. The frame is supported at support A and G. 500 N B/90" 100 N C/90° 30 3 m 30 3 m 45 G 4 m F 80 N 120 kg 1.1 Calculate the magnitude and direction of the RESULTANT REACTION at supports A and G. 1.2 Determine the magnitude and nature of the internal forces of the following members: Using the Baseline Mothod: CD: ED: CE:arrow_forward
- Q13. Fig.12 Shows a two cylinder engine with pistons arranged at 90° to each other. The crank OBE is rigid (i.e the angular velocity of OE is the same as OB) and rotating at a constant angular velocity. Determine: (a) The sliding velocity of the piston F (b) The angular velocity of the crank OBE and (c) The angular velocity of the connecting rod EF (d) The acceleration of piston F E 09 H 45° B OB = OE = 20mm Angle BOE = 90° BC = EF = 80mm Fig. 12 (a) (b) (c) (d) 5 m/s Foct G 3.48 m/s 300 rad/s (ACW) 53.8 rad/s (ACW) 1263 m/s²arrow_forwardQ1. A stool is sitting on a smooth surface as shown in the figure below. All the members of the stool are connected by pins. If a 100-lb kid is standing at the centre of the stool, what are the magnitudes of reactions at joints A and C? W E C 60° A B 0.691 ft Ⓒ2023 Zoe Mao 3 ft D 60° ↑ 1 ft 1 ft ↓ Garrow_forwardA cantilever beam is subjected to different combinations of forces, as shown in the following figure:(a) As a structure, what is the static indeterminacy of this cantilever beam?(b) Now that the various reaction forces supporting the cantilever beam are known (as shown in the figure), try to draw the shear force and bending moment diagram for the member AD.(c) State the magnitude and location of the maximum shear force and bending moment (whether positive or negative for shear force and bending moment).arrow_forward
- A pin-jointed plane truss shown in Figure Q1 is supported by a roller at point A and pinned at point G. Vertical point loads of 5 kN are acting downward at points B, C and D. As a structural engineer, you are responsible to check the stability and analyse all of the members in the truss. Q1 By using the appropriate method, check and elaborate the stability of the pin-jointed plane truss (a) (b) Determine all reactions at the supportsarrow_forward500 N 500 N 500 N 400 N B 250 N 250 N A 60° 30 30 30 G 5 m 5 m Fig 4 Determine the reaction at two supports for system as shown in fig 4?arrow_forwardFrom the figure shown, determine the reactions in lb. at : a. A;b. Barrow_forward
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