EBK VECTOR MECHANICS FOR ENGINEERS: STA
12th Edition
ISBN: 8220106797044
Author: BEER
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3.4, Problem 3.131P
A concrete foundation mat of 5-m radius supports four equally spaced columns, each of which is located 4 m from the center of the mat. Determine the magnitude and the point of application of the resultant of the four loads.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Determine the resultant of the loads and its location from point A. Note: All loads are acting perpendicular to the truss.
Determine the resultant of the distributed load systems for the beams shown, locate the resultant with respect to point A. (Do not consider the support reactions at the supports of the beam, consider only the distributed load)
The X-component of the force P is 140 lb where force P is going to the upper left
with a slope of 4/7. Determine P and its Y-component.
X
Chapter 3 Solutions
EBK VECTOR MECHANICS FOR ENGINEERS: STA
Ch. 3.1 - A foot valve for a pneumatic system is hinged at...Ch. 3.1 - 3.2A foot valve for a pneumatic system is hinged...Ch. 3.1 - It is known that a vertical force of 200 lb is...Ch. 3.1 - A 300-N force is applied at A as shown. Determine...Ch. 3.1 - A 300-N force is applied at A as shown. Determine...Ch. 3.1 - An 8-lb force P is applied to a shift lever....Ch. 3.1 - Prob. 3.7PCh. 3.1 - An 11-lb force P is applied to a shift lever. The...Ch. 3.1 - Rod AB is held in place by the cord AC. Knowing...Ch. 3.1 - Rod AB is held in place by the cord AC. Knowing...
Ch. 3.1 - 3.11 and 3.12The tailgate of a car is supported by...Ch. 3.1 - 3.11 and 3.12The tailgate of a car is supported by...Ch. 3.1 - 3.13 and 3.14It is known that the connecting rod...Ch. 3.1 - 3.13 and 3.14It is known that the connecting rod...Ch. 3.1 - Form the vector product P1 P2 and use the result...Ch. 3.1 - The vectors P and Q are two adjacent sides of a...Ch. 3.1 - Prob. 3.17PCh. 3.1 - Prob. 3.18PCh. 3.1 - Prob. 3.19PCh. 3.1 - Prob. 3.20PCh. 3.1 - Before the trunk of a large tree is felled, cables...Ch. 3.1 - The 12-ft boom AB has a fixed end A. A steel cable...Ch. 3.1 - A 200-N force is applied as shown to the bracket...Ch. 3.1 - A force P of magnitude 200 N acts along the...Ch. 3.1 - A 6-ft-long fishing rod AB is securely anchored in...Ch. 3.1 - A precast concrete wall section is temporarily...Ch. 3.1 - In Prob. 3.22, determine the perpendicular...Ch. 3.1 - In Prob. 3.23, determine the perpendicular...Ch. 3.1 - In Prob. 3.24, determine the perpendicular...Ch. 3.1 - In Prob. 3.25, determine the perpendicular...Ch. 3.1 - In Prob. 3.25, determine the perpendicular...Ch. 3.1 - In Prob. 3.26, determine the perpendicular...Ch. 3.1 - In Prob. 3.26, determine the perpendicular...Ch. 3.1 - Determine the value of a that minimizes the...Ch. 3.2 - Given the vectors P = 2i + j + 2k, Q = 3i + 4j ...Ch. 3.2 - Form the scalar product B C and use the result...Ch. 3.2 - Three cables are attached to the top of the tower...Ch. 3.2 - Prob. 3.38PCh. 3.2 - Knowing that the tension in cable AC is 280 lb,...Ch. 3.2 - Knowing that the tension in cable AD is 180 lb,...Ch. 3.2 - Ropes AB and BC are two of the ropes used to...Ch. 3.2 - Ropes AB and BC are two of the ropes used to...Ch. 3.2 - The 20-in. tube AB can slide along a horizontal...Ch. 3.2 - Solve Prob. 3.43 for the position corresponding to...Ch. 3.2 - Determine the volume of the parallelepiped of Fig....Ch. 3.2 - Prob. 3.46PCh. 3.2 - A crane is oriented so that the end of the 25-m...Ch. 3.2 - 3.48The 25-m crane boom AO lies in the yz plane....Ch. 3.2 - To loosen a frozen valve, a force F with a...Ch. 3.2 - 3.50When a force F is applied to the handle of the...Ch. 3.2 - The 0.61 1.00-m lid ABCD of a storage bin is...Ch. 3.2 - Prob. 3.52PCh. 3.2 - A farmer uses cables and winch pullers B and E to...Ch. 3.2 - Solve Prob. 3.53 when the tension in cable AB is...Ch. 3.2 - A force P of magnitude 520 lb acts on the frame...Ch. 3.2 - 3.56A force P acts on the frame shown at point E....Ch. 3.2 - The frame ACD is hinged at A and D and is...Ch. 3.2 - In Prob. 3.57, determine the moment about the...Ch. 3.2 - The triangular plate ABC is supported by...Ch. 3.2 - 3.60The triangular plate ABC is supported by...Ch. 3.2 - Prob. 3.61PCh. 3.2 - Prob. 3.62PCh. 3.2 - Two forces F1 and F2 in space have the same...Ch. 3.2 - Prob. 3.64PCh. 3.2 - Prob. 3.65PCh. 3.2 - In Prob. 3.57, determine the perpendicular...Ch. 3.2 - In Prob. 3.58, determine the perpendicular...Ch. 3.2 - In Prob. 3.59, determine the perpendicular...Ch. 3.2 - In Prob. 3.60, determine the perpendicular...Ch. 3.3 - Two 80-N forces are applied as shown to the...Ch. 3.3 - Two parallel 60-N forces are applied as shown to...Ch. 3.3 - A multiple-drilling machine is used to drill...Ch. 3.3 - Four pegs of the same diameter are attached to a...Ch. 3.3 - A piece of plywood in which several holes are...Ch. 3.3 - The shafts of an angle drive are acted upon by the...Ch. 3.3 - Prob. 3.76PCh. 3.3 - 3.77If P = 20 lb in the figure, replace the three...Ch. 3.3 - The two couples shown are to be replaced with a...Ch. 3.3 - Solve part a of Prob. 3.78, assuming that two 15-N...Ch. 3.3 - Shafts A and B connect the gear box to the wheel...Ch. 3.3 - A 500-N force is applied to a bent plate as shown....Ch. 3.3 - A crane column supports a 16-kip load as shown....Ch. 3.3 - A dirigible is tethered by a cable attached to its...Ch. 3.3 - A 30-lb vertical force P is applied at A to the...Ch. 3.3 - A worker tries to move a rock by applying a 360-N...Ch. 3.3 - A worker tries to move a rock by applying a 360-N...Ch. 3.3 - The shearing forces exerted on the cross section...Ch. 3.3 - Knowing that = 60, replace the force and couple...Ch. 3.3 - Three control rods attached to a lever ABC exert...Ch. 3.3 - A rectangular plate is acted upon by the force and...Ch. 3.3 - While tapping a hole, a machinist applies the...Ch. 3.3 - A hexagonal plate is acted upon by the force P and...Ch. 3.3 - Replace the 250-kN force P with an equivalent...Ch. 3.3 - A 2.6-kip force is applied at point D of the...Ch. 3.3 - Replace the 150-N force with an equivalent...Ch. 3.3 - To keep a door closed, a wooden stick is wedged...Ch. 3.3 - A 46-lb force F and a 2120-lbin. couple M are...Ch. 3.3 - A 110-N force acting in a vertical plane parallel...Ch. 3.3 - The 12-ft boom AB has a fixed end A, and the...Ch. 3.3 - The jib crane shown is oriented so that its boom...Ch. 3.4 - 3.101A 4-m-long beam is subjected to a variety of...Ch. 3.4 - Prob. 3.102PCh. 3.4 - Determine the single equivalent force and the...Ch. 3.4 - Five separate force-couple systems act at the...Ch. 3.4 - The weights of two children sitting at ends A and...Ch. 3.4 - Three stage lights are mounted on a pipe as shown....Ch. 3.4 - A beam supports three loads of given magnitude and...Ch. 3.4 - A 6 12-in. plate is subjected to four loads as...Ch. 3.4 - Gear C is rigidly attached to arm AB. If the...Ch. 3.4 - To test the strength of a 625 500-mm suitcase,...Ch. 3.4 - Two cables exert forces of 90 kN each on a truss...Ch. 3.4 - Pulleys A and B are mounted on bracket CDEF. The...Ch. 3.4 - The roof of a building frame is subjected to the...Ch. 3.4 - A couple of magnitude M = 80 lbin. and the three...Ch. 3.4 - A couple M and the three forces shown are applied...Ch. 3.4 - A machine component is subjected to the forces and...Ch. 3.4 - Solve Prob. 3.116, assuming that P = 60 N.Ch. 3.4 - As follower AB rolls along the surface of member...Ch. 3.4 - A machine component is subjected to the forces...Ch. 3.4 - Two 150-mm-diameter pulleys are mounted on line...Ch. 3.4 - As an adjustable brace BC is used to bring a wall...Ch. 3.4 - In order to unscrew the tapped faucet A, a plumber...Ch. 3.4 - Assuming = 60 in Prob. 3.122, replace the two...Ch. 3.4 - Four forces are applied to the machine component...Ch. 3.4 - A blade held in a brace is used to tighten a screw...Ch. 3.4 - A mechanic uses a crowfoot wrench to loosen a bolt...Ch. 3.4 - Prob. 3.127PCh. 3.4 - Prob. 3.128PCh. 3.4 - Four signs are mounted on a frame spanning a...Ch. 3.4 - Prob. 3.130PCh. 3.4 - A concrete foundation mat of 5-m radius supports...Ch. 3.4 - Determine the magnitude and the point of...Ch. 3.4 - Prob. 3.133PCh. 3.4 - A piece of sheet metal is bent into the shape...Ch. 3.4 - Prob. 3.135PCh. 3.4 - Prob. 3.136PCh. 3.4 - Two bolts at A and B are tightened by applying the...Ch. 3.4 - Two bolts at A and B are tightened by applying the...Ch. 3.4 - Prob. 3.139PCh. 3.4 - A flagpole is guyed by three cables. If the...Ch. 3.4 - 3.141 and 3.142Determine whether the...Ch. 3.4 - 3.141 and 3.142Determine whether the...Ch. 3.4 - Replace the wrench shown with an equivalent system...Ch. 3.4 - Show that, in general, a wrench can be replaced...Ch. 3.4 - Show that a wrench can be replaced with two...Ch. 3.4 - Show that a wrench can be replaced with two...Ch. 3 - A 300-N force P is applied at point A of the bell...Ch. 3 - A winch puller AB is used to straighten a fence...Ch. 3 - A small boat hangs from two davits, one of which...Ch. 3 - Prob. 3.150RPCh. 3 - A single force P acts at C in a direction...Ch. 3 - The 23-in. vertical rod CD is welded to the...Ch. 3 - In a manufacturing operation, three holes are...Ch. 3 - A 260-lb force is applied at A to the rolled-steel...Ch. 3 - Prob. 3.155RPCh. 3 - A 77-N force F1 and a 31-Nm couple M1 are applied...Ch. 3 - Three horizontal forces are applied as shown to a...Ch. 3 - While using a pencil sharpener, a student applies...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The concrete pier is subjected to soil pressure that causes the line loads shown. Determine the resultant of the loading and find the y-coordinate of the point where the resultant crosses the y-axisarrow_forward1. Determine the magnitude and direction with respect to the +x axis on the reaction at A and at C. Note that the body is supported by pin at A and a roller at C. The body's weight is negligible. A 2.4 kN-m 400 40° 200 250- Dimensions in mm -300- B 3 kNarrow_forwardDetermine the magnitude P of the vertical force required to lift the wheelbarrow free of the ground at point B. The combined weight of the wheelbarrow and its load is 268 lb with center of gravity at G.arrow_forward
- A lug wrench is used to tighten a square-head bolt. If 53-lb forces are applied to the wrench as shown, determine the magnitude F of the equal forces exerted on the four contact points on the 1.5 in. bolt head so that their external effect on the bolt is equivalent to that of the two 53-lb forces. Assume that the forces are perpendicular to the flats of the bolt head. 1.5"- 53 lb A C View C Detail (clearances exaggerated) 10" 53 Ib 10" B Answer: F = Ib the tolerance is +/-2%arrow_forwardCalculate the magnitudes of the forces P and Q so that the resultant force passes through point Oof the column shown.arrow_forwardThe overhead electric hoist Crides along a track on the horizontal beam AB. In addition to the 500-kN vertical force carried by the hoist, the beam also supports the three vertical forces shown. (a) If x = 5m, determine the resultant of the four forces carried by the beam. (b) Determine the distance xfor which the resultant of the four forces would act at the center of the span AB. 300 kN 120 kN 200 kN -4m--3m- |2 m 8 m A B 500 kNarrow_forward
- Three distributed loads act on a beam as shown. The load between A and B increases linearly from 0 to a maximum intensity of w₁ = 14 lb/ft at point B. The load then varies linearly with a different slope to an intensity of w₂ = 18.6 lb/ft at C. The load intensity in section CD of the beam is constant at W3 11.2 lb/ft. For each load region, determine the resultant force and the location of its line of action (distance to the right of A for all cases). = BY NC SA 2016 Eric Davishahl W1 -a- B -b- W2 W3 Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 7.60 ft b 14.4 ft C 7.60 ft The resultant load in region AB is FR1 = 53.2 2.53 lb and acts ☑ ft to the right of A. The resultant load in region BC is FR2 234 12.4 lb and acts = ☑ ft to the right of A. The resultant load in region CD is FR3 = 85.1 lb and acts 16.2 ☑ ft to the right of A.arrow_forwardFc = 5 kN 3m F = 8 KN F₁ = 6 kN 0.75 m 1. The cylindrical plate is held by the three wires connected at point D. Determine the resultant force.arrow_forwardA 5-m-long simply supported timber beam carries two concentrated loads as shown. If L = 6 kN and M = 60 kN, determine the magnitude of the vertical force acting at support D. M 0.5 m B 2 m 2 m m 47.4 kN 50.4 kN O 40.5 kN O 69.7 kN O 64.6 kNarrow_forward
- The post has a rectangular cross-sectional area. It is fixed-supported at its base and the loadings are applied as shown. The 500N force acts on the centroid of the cross-sectional area, the 400N force acts at the corner and the 300N force acts on the side of the block, along the axis going through the centroid. A and B are in the same cross-section. B marks the corner point, A is located on the edge, a distance of 5 cm from point B. a. Draw a section cut and find the internal loadings at a cross- section containing point A. You MUST use the coordinate directions we used in our class example (x-axis down, y-axis out of page, and z-axis to the left). 300N 30cm 30cm 20cm 80cm 400N 20 cm 20 cm A 500Narrow_forwardDetermine the reactions at A for the cantilever beam subjected to the distributed and concentrated loads. 3.0 kN 6.7 kN/m 3.7 m 1.8 m 1.8 m Part 1 The free-body diagram of the body is shown. The distributed loading has been replaced with a single equivalent force R at a distance d to the right of point A. Find the magnitude of the force R and the distance d. R 3.0 kN d Answer: R = i kN d = i marrow_forward2arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L
International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L
Types Of loads - Engineering Mechanics | Abhishek Explained; Author: Prime Course;https://www.youtube.com/watch?v=4JVoL9wb5yM;License: Standard YouTube License, CC-BY