Problem #1: From the given set of parallel forces shown in the figure, determine the Resultant force which could represent them. Figure: Q= 40 KN T= 60 KN A B P= 45 KN Im w=t 70KN
Q: :Q81 The moment M for the force the figure shown below is 250 N 15 200 mm 30 mm 46.5 N.MO
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Q: The forces as given below are applied as shown in the figure. F1=10 kN, F2=5 kN and F3=3 kN. The…
A: a) -159.15 MPa(Compressive) , 35.80 MPa(shear stress) b) Principle stresses 7.686 MPa ,-166.836 MPa…
Q: In the figure shown below, a boom AC is supported by a ball and socket joint at C and by the cables…
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Q: Find the magnitude of the compressive force acting on the gate shown in the figure and then…
A: Given:
Q: 100 kN 1.5 10 kN/m 1.5
A: given:
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A: Consider TA, TB, and TD as the tension in the cable AC, AB, and AD. Draw the free-body diagram of…
Q: Determine the forces and internal moment at points 1 and 3 indicated in the figure. Consider the…
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Q: Problem 3: The wrench shown in the figure below is used to tighten a bolt at A. If the wrench does…
A: To determine the moment about A and also the reactions.
Q: Determine the internal forces at point D of the frame shown in the figure.
A: According to the details provided in the question, we need to calculate internal forces at point D
Q: 40 2. In the figure at center right, each cable can support a maximum of 250 lb of tension. Find the…
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Q: P P2 а-axis For the force P in the figure, determine the components Pi and Pa, if the former is…
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Q: 2. a) Compute the resultant force for the loads shown in Figure 1 acting on the cantilever. What…
A: A pin support will exert both horizontal and vertical components of reaction as the reaction forces.…
Q: Find the forces in members CE and CF in the figure below using the method of sections. Enter your…
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Q: Q2: The vertical force P of magnitude 100 kN is applied to the frame shown in the Figure below.…
A: Given ; force = p = 100 kN (down wards) varicalThere are two numbers AB & AC of trusswe have to…
Q: Find the forces in the system of two rods (truss) in the figure, where P=1000nt. 45° u Truss Force…
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Q: Accordingly, the BD cable Calculate the strength of the force.
A: Given: To determine: F1=9 kN F2=10 kN Force in cable BD
Q: Example (Revision) The jib crane shown in Fig. 4-45a is subjected to three coplanar forces. Replace…
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Q: Problem 3: 3D load reduction A combination of forces f1, f2, f3 (with magnitudes f, f2, f3,…
A: Representing f1,f2&f3 in cartesion co-ardinatef1=0i+0j+f1kf2=0i+0j−f2kf3=0i+0j−f3kResultant…
Q: What are the magnitude (F) and the location measured from end A (d) of the equivalent resultant…
A: The free-body diagram of the loading on the beam is drawn below.
Q: A force of P=280 N is applied on semicircular rod at point B. Determine internal forces at point J…
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Q: 800 N-m 2 m .8 m 3 m .4 m .2 m Figure P.5.29. 5.30. Find the supporting force systems at A and B.…
A: Since you have asked multiple questions, only the first question is solved for you. If you want any…
Q: F =150 N y 30° P 200 N 350 20°
A: NOTE:- As per our company guidelines we are supposed to answer first 3 sub-parts. Kindly repost…
Q: mathal 220 N/m 890 N/m 6 m Figure P-238
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Q: A Block of weight 114 N is suspended with the help of a string. The block is pulled by a horizontal…
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Q: Q1.3 The screw eye in Figure below subjected to two forces, Fl and F2. Determine the magnitude and…
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Q: Q-2. points A and E with a fixed support and the individual forces given act on certain points of…
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Q: A plane truss is shown in the figure. a = 4 m, b = 13 m, F = 18 kN. F2 = 28 kN. Find forces in the…
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Q: Assignment: In the figure, the boom AC is acted upon by a vertical load W = 600lbs, a force T= 440…
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Q: A 10.5 ft B 200 lb 2 ft 2 ft 1 ft 1 ft 1 ft, F
A: Given: The value of the weight is 200 lb.
Q: A 10-m uniform beam of weight 100 N is supported by two ropes at its ends. If a 400-N person sits at…
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Q: Practice Problem 2.4.1: The three P3 = 60 kN P3 = 80 kN P = 25 kN forces acting on the beam can be…
A: Take moment about P3 P2sinθ6+P1sin4010=060sinθ6=-25sin4010θ=-26.51° Total forces…
Q: / Replace the two forces in Figure (2) with a single force at the point (A) and double tension (B)…
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Q: . From the system shown in the figure, obtain the forces and the average axial stres on each bar AB,…
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Q: Find the normal forces at A, B, and C from the figure below. Each pipe weighs 2500 N. 45°
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Q: Problem Number 2: A horizontal boom 11.5 M in length, AE is supported by guy wires from A to B,C and…
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Q: A vertical load of 1100 lb is supported by the three bars shown in the figure. Find the force in…
A: The load acting is: P→=-1100 lb j^ The points are: A=0,20,0B=-10,5,0C=0,0,10D=10,0,-10 The vectors…
Q: What would be the maximum weight W of the block, shown in the following figure, so that the tension…
A: Ans is 401.82N
Q: 3. The system of chords is knotted as shown in figure below, carry the weights: 300lb & 400 lb.…
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Q: Replace the two forces in Figure (2) with a single force at the point (A) and double tension (B)…
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Q: Consider the frame shown in (Figure 1). Suppose that F1 = 6 kN . Determine the magnitude of the…
A: In order to determine the asked values the whole system has to be broken down into atleast two…
Q: Refer to the figure below, determine the value of force P if the equivalent force for Q is zero.…
A: The coordinates of A,B,C and D are A(960,240,0) mm B(0,0,380) mm C(0,0,-320) mm D(0,960,-220) mm…
Q: H.W: Replace the 600 ib force of Figure below by a force through A and a couple whose forces act…
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Q: What are the magnitude (F) and the location measured from end A (d) of the equivalent resultant…
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Q: In the given figure below, a tube was supported at A and E with a ball and socket and a wire at D…
A: As per our guidelines we are supposed to solve only 3 subparts if multiple subparts are asked .…
Q: Q1) 28 N.m torque is needed to turn the bolt around its axis as shown in the Figure (1) below. Find…
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Q: As shown, a system of cables suspends a crate weighing W = 330 lb . (Figure 3) The dimensions in the…
A: GIVEN; W=330 lb=149.685 kgWeight (N)=149.685×9.81=1468.4 N h=15.7 ft=4.78536 ml=4.25 ft=1.2954…
Q: Determine the forces and internal moment at points 1 and 3 indicated in the figure. Consider the…
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Q: Q/ For the figure shown below. Replace the two forces by a single ? equivalent force R and the…
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Resultant of Parallel/Non-concurrent Coplanar Force Systems
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- The main cables of a suspension bridge (see figure part a) follow a curve that is nearly parabolic because the primary load on the cables is the weight of the bridge deck, which is uniform in intensity along the horizontal. Therefore, represent the central region AOB of one of the main cables (see part b of the figure) as a parabolic cable supported at points A and B and carrying a uniform load of intensity q along the horizontal. The span of the cable is L, the sag is /i, the axial rigidity is EA\ and the origin of coordinates is at mid span. (a) Derive the following formula for the elongation of cable AOB shown in part b or the figure: (b) Calculate the elongation 5 of the central span of one of the main cables of the Golden Gate Bridge for which the dimensions and properties are L = 4200 ft,h = 470 ft, q = 12,700 lb/ft, and E = 23,300,000 psi The cable consists of 27,572 parallel wires of diameter 0.196 in. Hint: Determine the tensile force Tal any point in the cable from a free-body diagram of part of the cable; then determine the elongation of an element of the cable of length ds: finally, integrate along the curve of the cable to obtain an equation for the elongation £.A long re Lai nine: wall is braced by wood shores set at an angle of 30° and supported by concrete thrust blocks, as shown in the first part of the figure. The shores are evenly spaced at 3 m apart. For analysis purposes, the wall and shores are idealized as shown in the second part of the figure. Note that the base of the wall and both ends of the shores are assumed to be pinned. The pressure of the soil against the wall is assumed to be triangularly distributed, and the resultant force acting on a 3-meter length of the walls is F = 190 kN. If each shore has a 150 mm X 150 mm square cross section, what is the compressive stress1.3-15 A space truss is restrained at joints A, B, and C, as shown in the figure. Load 2P is applied at in the -x direction at joint A, load 3P acts in the + - direction at joint B. and load P is applied in the + r direction al joint C. Coordinates of all joints are given in terms of dimension variable L (see figure). (a) Find reaction force components Ayand Azin terms of load variable P. (b) Find the axial force in truss member AB in terms of load variable P.
- Repeat Problem 2.3-29 if vertical load P at D is replaced by a horizontal load P at D (see figure)..15 A hitch-mounted bicycle rack is designed to carry up to four 30-lb bikes mounted on and strapped to two arms Gil (sec bike loads in the figure part a) The rack is attached to the vehicle at A and is assumed to be like a cant silkier beam A BCDGII (figure part b) The light of fixed segment AB is U = 10 lb. centered 9 in. from A (see figure part b) and the rest of the rack highs W2 = 40 lb. centered 19 in. from A. Segment ABCDG is a steel tube o(2 X 2 in. with a thickness I = 118 in. Segment BCDGII pivots about a bolt at B with a diameter d1 = 0.25 in. to allow access to the rear of the vehicle without removing the hitch rack. When in use, the rack is secured in an upright posit ion by a pin C(diameter o( pin d, = 5116 in.) (see phoo and figure part C). The of returning effect of the bikes on the rack is resisted by a force couple F h at BC. (a) Find the support reactions at A for the fully loaded rack. (b) Find forces in the bolt at B and the pin at C. (c) Find average shear stresses in both the bolt at Band the pin at C. (d) Find average bearing stresses o, in the bolt at B and the pin at C.A plane Frame is restrained at joints A and D, as shown in the figure. Members AB and BCD are pin connected at B. A triangularly distributed lateral load with peak intensity of SO N/m acts on CD. An inclined concentrated force of 200 N acts at the mid-span of BC. (a) Find reactions at supports A and D. (b) Find resultant forces in the pins at B and C.
- A mountain bike is moving along a flat path at constant velocity. At some instant, the rider (weight = 670 N) applies pedal and hand forces, as shown in the figure part a. (a) Find reaction forces at the front and rear hubs. (Assume that the bike is pin supported at the rear hub and roller supported at the front hub.) (b) Find internal stress resultants N, V, and M in the inclined seat post (see figure part bA plane frame with a pin support at A and roller supports at C and £ has a cable attached at E. which runs over Frictionless pulleys al D and B (see figure). The cable force is known to be 400 N. There is a pin connection just Lo the left of joint C. (a) Find reactions at supports^, C, and E. (b) Find internal stress, resultants N, V, and M just to the right of joint C. (c) Find resultant force in the pin near C.A space truss is restrained at joints O, A. B. and C, as shown in the figure. Load P is applied at joint A and load IP acts downward at joint C. (a) Find reaction force components Ax, By, and B. in terms of load variable P. (b) Find the axial force in truss member AB in terms of load variable P.
- A plane Frame with pin supports at A and E has a cable attached at C, which runs over a friction-less pulley at F(see figure). The cable Force is known to be 500 lb. (a) Find reactions at supports A and E. (b) Find internal stress resultants N, V, and M at point H.A steel post (E=30×106) having thickness t = 1/8 in. and height L = 72 in. support a stop sign (see figure), where s = 12.5 in. The height of the post L is measured from the base to the centroid of the sign. The stop sign is subjected to wind pressure p = 20 lb/ft2 normal to its surface. Assume that the post is fixed at its base. What is the resultant load on the sign? (Sec Appendix E, Case 25, for properties of an octagon, n =8.) What is the maximum bending stress in the post? Repeat part (b) if the circular cut-outs arc eliminated over the height of the post.A cable and pulley system in the figure part a supports a cage of a mass 300 kg at B. Assume that this includes the mass of the cables as well. The thickness or each of the three steel pulleys is t = 40 mm. The pin diameters are dPA= 25 mm, dB= 30 mm. and dc= 22 mm (see figure part a and part b). (a) Find expressions for the resultant forces acting on the pulleys at A, B. and C in terms of cubic tension T. (b) What is the maximum weight W that can be added to the cage at B based on the following allowable stresses? Shear stress in the pins is 50 MPa; bearing stress between the pin and the pulley is 110 MPa.