will be detrimental to your achievement M2 THIS PAGE IS TO BE USED AS A M3 RECORD/PROOF OF SUBMISSION. D1 ENSURE EACH PIECE OF WORK D2

Size: px
Start display at page:

Download "will be detrimental to your achievement M2 THIS PAGE IS TO BE USED AS A M3 RECORD/PROOF OF SUBMISSION. D1 ENSURE EACH PIECE OF WORK D2"

Transcription

1 Diploma in Construction & the Built Environment / Civil Engineering YEAR 2017_18 QAN 500/7140/3 & 500/7137/3 (Btec Programmes: JW986 JW987 JW988) ASSIGNMENT BOOKLET UNIT 14 STRUCTURAL MECHANICS Unit code: J/600/0228 Credit value: 10 This unit is internally assessed In order to pass this unit, the evidence that the learner presents for assessment needs to demonstrate that they can meet all of the learning outcomes for the unit. The criteria for a pass grade describe the level of achievement required to pass this unit. Pass grade work is treated as formative assessment and as such the student will receive feedback to enable a resubmission within one week to correct any errors or omissions. Late work will only be accepted with a full completed mitigating circumstance form attached. Higher grade work is treated as summative assessment and hence may receive oral feedback in tutorials but not once formally submitted. This means that there will be no resubmissions available with higher grade work. Learners are expected to be largely autonomous when carrying out merit grade work. The standard of English, grammar, sentence structure etc is expected to be synonymous with the higher grade attempted. Higher Grade work will not be marked if it is submitted late. No of Assignment: No. of in class test: No of Practicals / field visits: SUMMARY OF SUBMISSION: Complete to keep track of your work Criteria Submitted Assessor signature LEARNERS NAME (in capitals) P1 P2 In class test Missing these test P3 P4 P5 P6 P7 P8 P9 M1 In class test In class test will be detrimental to your achievement ENSURE THAT THE CORRECT PART OF THIS ASSIGNMENT BOOKLET IS RETURNED WITH YOUR SUBMISSION. (e.g. for assignment 1 return sheet 3 to 6 M2 THIS PAGE IS TO BE USED AS A M3 RECORD/PROOF OF SUBMISSION. D1 ENSURE EACH PIECE OF WORK D2 SUBMITTED IS SIGNED FOR. This assignment booklet is available on the authors Website: Queries may be sent via to: angelo.filomeno@cnwl.ac.uk (submissions will NOT be accepted via this route) 1

2 UNIT 14: Structural Mechanics TRACKING SHEET FOR... Assig No Criteria / Description P1. explain the behaviour of beams and columns under load P2. determine reactive forces and plot shear force and bending moment diagrams for a simply supported beam P3. determine reactive forces and plot shear force and bending moment diagrams for a cantilever beam P4. determine the forces acting in a determinate frame using Mathematical and graphical techniques P5. determine the maximum stress in a short column under axial and eccentric loads P6. produce suitable section sizes for axially loaded columns P7. produce suitable section sizes for simply supported beams subject to combined loading P8. produce a suitable section for a mass 8 retaining wall that is safe in overturning, sliding and settlement P9. explain the benefits of using computer 9 software in structural analysis and design. HAND IN DATE s when assessed TEST TEST TEST Items to be submitted a - deflected shape, stress involved b- deflected shape, stress involved c- deflected shape, stress involved d- deflected shape, stress involved e- deflected shape, stress involved f- deflected shape, stress involved g- deflected shape, stress involved h- deflected shape, stress involved i- sketch i, sketch ii, examples j- sketch stress diagram: i,ii j- iii, 4 deflected shapes J - iv, explanation with sketches x 3 minimum a- i, ii, iii, iv, v b- i, ii, iii, iv, v a- i, ii, iii, iv, v b- i, ii, iii, iv, v a - i, ii (table) b - i, ii (table) a- i, ii, iii, iv, v b- i, ii, iii, iv, v, vi a -timber post b -steel stanchion c -RC column d - Limit state v Permissible stress design a - timber beam design b - RSJ design c - RC slab design a - i, ii, iii, iv, v, vi Printout- Observation in class --Note early submission date Initial when achieved M1. explain the relationship between shear force and bending moment and the significance of the point of contraflexure M2. explain how the effective length of a column is determined under different restraint conditions M3. compare alternative methods of designing structural members in terms of British Standards D1. compare numerical and graphical methods of solving forces in Frameworks D2. evaluate alternative design methods in terms of their application for a given design brief after P3 after P5 after P7 after P4 after M3 Differential Equations for bending column effective lengths Comparison of differing design methods Frame solutions Evaluation of differing design methods THIS SHEET TO BE KEPT UPDATED IN TUTORIALS Latest Submission for higher grade work: 4:00pm - 22 nd January

3 Learner Name Learner Registration No. Assessor Name Angelo Filomeno Qualification and Programme Number BTEC Level 3 Diploma in Construction & The Built Environment/Civil Engineering JW986 JW987 JW988 Unit Number and Title Unit 14 Structural Mechanics 21099C Assignment No & Title ASSIGNMENT Behaviour under load Deadlines: If you do not meet the deadlines for handing in your assignments you may not have your work marked. This could result in you failing the course unless there are exceptional circumstances which must be explained to your tutor and agreed by the Curriculum Manager. Your work should be returned to you marked within 10 working days Criteria Ref. No. Issued Submitted Resubmission (s) (if necessary) / Feedback Met? Y/N Assessor Sig./ P1 All decisions or grades are subject to internal and/ or external verification and may be modified. If you feel that an assessment decision is unjustified, you are entitled to appeal. Please refer to your course handbook or speak to your teacher or tutor for details as to how to do this. Assessor s General Comments/Feedback/ Action Plan: Learner Comments: (Ensure you read the assessment criteria and teacher s comments) Learner s Declaration: Learner signature: Assessor signature I certify that the work submitted for this assignment is my own and research sources are fully acknowledged. : 3

4 Unit 14: Structural Mechanics in Construction Assignment 1-- Behaviour under load To achieve a grade the evidence must show that the learner is able to meet the following Criteria: P1. explain the behaviour of beams and columns under load. To be completed, ready for submission by:- xxxx/2017 (Behaviour under load sketches----p1) Assessor to Indicate, sign & These tasks must be completed to help you produce the evidence required: Sketch the likely deflected shape for each of the following beams or cantilevers under the loads shown and indicate the type of stresses involved: a) Cantilever b) Propped Cantilever c) Encastre Beram (fixed both ends) d) Simply supported beam e) Contiuous Beam Aid to answering and assessment Behaviour of structural elements: beams in bending and shear; stresses and deflection; learners must explain, with the use of supportive sketches, the general behaviour of beams and columns under load. Evidence could be in the form of a written report with supportive diagrams. date when criteria achieved 4

5 Sketch the likely deflected shape for each of the following structures and indicate the type of members and stresses involved: f) 3 Pin (or Hinge) Arch Combined behaviour: bracing of frameworks for stability; g) Portal Frame (Rigid Joints) P1. (continued) h) Framed Truss Load Support Support i) Explain the behaviour of piers and walls by sketching the following; i. Sketch an example where external buttress walls are used to add stability to a structure. ii. Sketch an example where internal walls are used to aid stability to a structure. Indicate, in both cases, examples of the type of structure where these walls occur. use of walls for stability 5

6 j) Explain column behaviour by answering the following; i. Sketch the deflection likely for the various differently restrained columns shown below. Load Load Load Load Free Pinned Fixed Pinned columns and struts under direct load and eccentric load; effect of Fixed Pinned Fixed Fixed restraint on members in compression ii. iii. iv. Explain with the aid of sketches and give real examples of what the restraint terms "fixed"," pinned" and and "free" actually mean to column/beam connections. Sketch the stress diagram under a short column subjected to an axial load W Sketch the stress diagram if the load W moves to an eccentric position within the middle third of the section. 6

7 Learner Name Learner Registration No. Assessor Name Angelo Filomeno Qualification and Programme Number BTEC Level 3 Diploma in Construction & The Built Environment/Civil Engineering JW986 JW987 JW988 Unit Number and Title Unit 14 Structural Mechanics 21099C Assignment No & Title ASSIGNMENT Structural Mechanics problems Deadlines: If you do not meet the deadlines for handing in your assignments you may not have your work marked. This could result in you failing the course unless there are exceptional circumstances which must be explained to your tutor and agreed by the Curriculum Manager. Your work should be returned to you marked within 10 working days Criteria Ref. No. Issued Submitted Resubmission (s) (if necessary) / Feedback THIS WILL BE AN IN CLASS TEST Met? Y/N Assessor Sig./ P2 All decisions or grades are subject to internal and/ or external verification and may be modified. If you feel that an assessment decision is unjustified, you are entitled to appeal. Please refer to your course handbook or speak to your teacher or tutor for details as to how to do this. Assessor s General Comments/Feedback/ Action Plan: Learner Comments: (Ensure you read the assessment criteria and teacher s comments) Learner s Declaration: Learner signature: Assessor signature I certify that the work submitted for this assignment is my own and research sources are fully acknowledged. : 7

8 Unit 14: Structural Mechanics in Construction To achieve a grade the evidence must show that the learner is able to meet the following Criteria: P2. explain the behaviour of beams and columns under load. To be completed, ready for submission by:- Assig. 2- structural mechanics problems Xxxx/ 2017 (Reactions SFD & BMD----Beams calcs ---P2) Tasks which will help you produce the evidence required: THIS WILL BE AN IN CLASS TEST (Load values and configuration may change) BEAMS: a) Determine reactive forces and plot shear force and bending moment diagrams for the simply supported beam, carrying combined load shown below. Use the techniques of shear force and bending moment to analyse the effect of loading for the beam shown above. i. Calculate the unknown reactions. ii. iii. iv. Draw the shear force diagram for the beam. What is the maximum value of shear force? Where on the beam is this located? Draw the bending moment diagram for the beam. v. What is the maximum value of bending moment? Where on the beam is this located? 50kN 20kN 40kN 1m 2m 3m 4m 5m Support 6m 7m 8m Support 60k 9m 10m 11m Aid to answering and assessment Structural mechanics problems: relating to beams; Beams: point loads; reactions; shear force values; bending moment values; simply supported beams without cantilever ends. relationship between shear force and bending moment; point of contraflexure; All working in finding the reactions should be clearly shown. SFD should be drawn to an appropriate scale and on proper graph paper. The supporting calculations of bending moment at the plotted points should be shown. Assessor to Indicate, sign & date when criteria achieved 8

9 b) Determine reactive forces and plot shear force and bending moment diagrams for the simply supported beam, carrying combined load shown below. Use the techniques of shear force and bending moment to analyse the effect of loading for the beam shown above. i. Calculate the unknown reactions. ii. iii. iv. Draw the shear force diagram for the beam. What is the maximum value of shear force? Where on the beam is this located? Draw the bending moment diagram for the beam. v. What is the maximum value of bending moment? Where on the beam is this located? 1m 50kN Support A 2m UDL 10 kn/m 3m 4m 5m 6m 7m 8m Support B 40kN 9m Structural mechanics problems: relating to beams; Beams: point loads; uniformly distributed loads (UDLs); combined loads; reactions; shear force values; bending moment values; simply supported beams with cantilever ends; All working in finding the reactions should be clearly shown. SFD should be drawn to an appropriate scale and on proper graph paper. The supporting calculations of bending moment at the plotted points should be shown. 9

10 Learner Name Learner Registration No. Assessor Name Angelo Filomeno Qualification and Programme Number BTEC Level 3 Diploma in Construction & The Built Environment/Civil Engineering JW986 JW987 JW988 Unit Number and Title Unit 14 Structural Mechanics 21099C Assignment No & Title ASSIGNMENT Structural Mechanics problems II Deadlines: If you do not meet the deadlines for handing in your assignments you may not have your work marked. This could result in you failing the course unless there are exceptional circumstances which must be explained to your tutor and agreed by the Curriculum Manager. Your work should be returned to you marked within 10 working days Criteria Ref. No. Issued Submitted Resubmission (s) (if necessary) / Feedback THIS WILL BE AN IN CLASS TEST Met? Y/N Assessor Sig./ P3 M1 All decisions or grades are subject to internal and/ or external verification and may be modified. If you feel that an assessment decision is unjustified, you are entitled to appeal. Please refer to your course handbook or speak to your teacher or tutor for details as to how to do this. Assessor s General Comments/Feedback/ Action Plan: Learner Comments: (Ensure you read the assessment criteria and teacher s comments) Learner s Declaration: Learner signature: Assessor signature I certify that the work submitted for this assignment is my own and research sources are fully acknowledged. : 10

11 Unit 14: Structural Mechanics in Construction To achieve a grade the evidence must show that the learner is able to meet the following Criteria: P3. determine reactive forces and plot shear force and bending moment diagrams for a cantilever beam To be completed, ready for submission by:- xxxx/2017 Assig. 3- Structural mechanics problems II (Reactions SFD & BMD----Cantilevers ---P3) Tasks which will help you produce the evidence required: THIS WILL BE AN IN CLASS TEST (Load values and configuration may change) CANTILEVERS: a) Determine reactive forces and plot shear force and bending moment diagrams for the cantilever beam, carrying combined load shown below. Use the techniques of shear force and bending moment to analyse the effect of loading for the beam shown above. i. Calculate the unknown reactions. ii. iii. iv. Fixed Support A 30kN 40kN 20kN 1m 2m Draw the shear force diagram for the beam. 3m 4m 5m What is the maximum value of shear force? Where on the beam is this located? Draw the bending moment diagram for the beam. v. What is the maximum value of bending moment? Where on the beam is this located? Aid to answering / assessment All working in finding the reactions should be clearly shown. SFD should be drawn to an appropriate scale and on proper graph paper. The supporting calculations of bending moment at the plotted points should be shown Assessor to Indicate, sign & date when criteria achieved 11

12 P3 continued b) Determine reactive forces and plot shear force and bending moment diagrams for the cantilever beam, carrying combined load shown below. All working in finding the reactions should be clearly shown. 1m 20kN 40kN UDL 10kN/m 2m 3m 4m 5m 6m 7m SFD should be drawn to an appropriate scale and on proper graph paper. Fixed Support A Use the techniques of shear force and bending moment to analyse the effect of loading for the beam shown above. i. Calculate the unknown reactions. ii. Draw the shear force diagram for the beam. iii. What is the maximum value of shear force? Where on the beam is this located? iv. Draw the bending moment diagram for the beam. v. What is the maximum value of bending moment? Where on the beam is this located? The supporting calculations of bending moment at the plotted points should be shown 12

13 MERIT OPPORTUNITY: To achieve a MERIT grade the evidence must show that, in addition to the pass criteria, the learner is able to meet the following criteria: Will not be assessed until all PASS criteria have been completed. Completing the tasks below will help you meet the criteria: Higher grade work is treated as summative assessment and hence may receive oral feedback in tutorials but not once formally submitted. This means that there will be no resubmissions available with higher grade work. Learners are expected to be largely autonomous when carrying out merit grade work. The standard of English, grammar, sentence structure etc is expected to be synonymous with the higher grade attempted. Assessor to Indicate, sign & date when criteria achieved UDL W kn/m M1. explain the relationship between shear force and bending moment and the significance of the point of contraflexure. x RL RR i. Find reactions RL and RR ii. By evaluating the bending moment M at a point x metre from the left obtain an algebraic expression for the bending moment at any point on the beam iii. State the mathematical relationship between the expression for bending moment and the expression for shear force on the beam. iv. Hence show how it possible to obtain an algebraic expression for shear force. v. Sketch the shear force diagram for the beam. vi. At what position on the beam is the shear force equal to zero? vii. Evaluate the bending moment at the point of zero shear. What is distinctive about the value of bending moment at the point of zero shear? viii. What is a point of "contraflexure"? ix. For which common beam material is a point of contraflexure of special significance? Explain fully. LATEST SUBMISSION DATE FOR HIGHER GRADE WORK IS NOON ON 1st June

14 Learner Name Learner Registration No. Assessor Name Angelo Filomeno Qualification and Programme Number BTEC Level 3 Diploma in Construction & The Built Environment/Civil Engineering JW986 JW987 JW988 Unit Number and Title Unit 14 Structural Mechanics 21099C Assignment No & Title ASSIGNMENT Structural Mechanics problems III Deadlines: If you do not meet the deadlines for handing in your assignments you may not have your work marked. This could result in you failing the course unless there are exceptional circumstances which must be explained to your tutor and agreed by the Curriculum Manager. Your work should be returned to you marked within 10 working days Criteria Ref. No. Issued Submitted Resubmission (s) (if necessary) / Feedback Met? Y/N Assessor Sig./ P4 D1 All decisions or grades are subject to internal and/ or external verification and may be modified. If you feel that an assessment decision is unjustified, you are entitled to appeal. Please refer to your course handbook or speak to your teacher or tutor for details as to how to do this. Assessor s General Comments/Feedback/ Action Plan: Learner Comments: (Ensure you read the assessment criteria and teacher s comments) Learner s Declaration: Learner signature: Assessor signature I certify that the work submitted for this assignment is my own and research sources are fully acknowledged. : 14

15 Unit 14: Structural Mechanics in Construction To achieve a grade the evidence must show that the learner is able to meet the following Criteria: To be completed, ready for submission by:- Tasks which will help you produce the evidence required: Assig. 4- structural mechanics problems III xxxx/2018 (Frames ---P4) Assessor to Indicate, sign & date Aid to answering and assessment when criteria achieved FRAMES: 10kN 20kN Frameworks: statically determinate; pin-jointed; subject to dead loads and wind loads B C Copy and complete the following table: P4. determine the forces acting in a determinate frame using Mathematical and graphical techniques A R L E m 2.000m R R a) The diagram shows a pin-jointed framework supported at its left and right hand ends. i. Find the reactions RL and RR, ii. Use the method of resolution of forces to identify the size and nature of the forces in each member of the frame D Member Force in member Strut or Tie AB AE CD DE BE BC CE 15

16 P4. continued b) The diagram shows a pin-jointed roof truss of 8.000m span subject to loadings as shown. Use the method of Bow's notation to identify the size and nature of the forces in each member of the frame. i. Draw an accurate and well-presented scale diagram to represent the internal forces in the frame. ii. Present the magnitude of the forces and type (strut or Tie) in each member in tabular form Frameworks: statically determinate; pinjointed; subject to dead loads and wind loads 16

17 DISTINCTION OPPORTUNITY: Will not be assessed unless all MERIT criteria have been completed. To achieve a DISTINCTION grade the evidence must show that, in addition to the MERIT criteria, the learner is able to meet the following criteria: Completing the tasks below will help you meet the criteria: Higher grade work is treated as summative assessment and hence may receive oral feedback in tutorials but not once formally submitted. This means that there will be no resubmissions available with higher grade work. Learners are expected to be largely autonomous when carrying out merit grade work. The standard of English, grammar, sentence structure etc is expected to be synonymous with the higher grade attempted. Assessor to Indicate, sign & date when criteria achieved D1. compare numerical Solve the above two frames by alternate means to those already employed and compare and contrast and graphical methods of the methods used. solving forces in i.e. question a) by using graphical means Frameworks and question b) by using resolution of forces. Compare and contrast the two methods of solution LATEST SUBMISSION DATE FOR HIGHER GRADE WORK IS NOON ON 1st June

18 Learner Name Learner Registration No. Assessor Name Angelo Filomeno Qualification and Programme Number BTEC Level 3 Diploma in Construction & The Built Environment/Civil Engineering JW986 JW987 JW988 Unit Number and Title Unit 14 Structural Mechanics 21099C Assignment No & Title ASSIGNMENT Structural Mechanics problems IV Deadlines: If you do not meet the deadlines for handing in your assignments you may not have your work marked. This could result in you failing the course unless there are exceptional circumstances which must be explained to your tutor and agreed by the Curriculum Manager. Your work should be returned to you marked within 10 working days Criteria Ref. No. Issued Submitted Resubmission (s) (if necessary) / Feedback Met? Y/N Assessor Sig./ P5 M2 All decisions or grades are subject to internal and/ or external verification and may be modified. If you feel that an assessment decision is unjustified, you are entitled to appeal. Please refer to your course handbook or speak to your teacher or tutor for details as to how to do this. Assessor s General Comments/Feedback/ Action Plan: Learner Comments: (Ensure you read the assessment criteria and teacher s comments) Learner s Declaration: Learner signature: Assessor signature I certify that the work submitted for this assignment is my own and research sources are fully acknowledged. : 18

19 150mm 150mm Unit 14: Structural Mechanics in Construction To achieve a grade the evidence must show that the learner is able to meet the following Criteria: To be completed, ready for submission by:- xxxx/2018 Tasks which will help you produce the evidence required: COLUMNS: 225mm Assig. 5- structural mechanics problems IV (Short Columns ---P5) Y 225mm Aid to answering and assessment Assessor to Indicate, sign & date when criteria achieved P5. determine the maximum stress in a short column under axial and eccentric loads 270kN e X X a) The Diagram shows the cross-section through a rectangular brick column 300 mm by 450 mm. An eccentric concentrated load of 270 kn is located on the Y-axis and at a variable distance 'e' from the X-axis. i. What is the maximum value of eccentricity 'e' consistent with there being no forces of tension within the column? ii. Calculate the value of the bending stress developed in the column with an eccentricity of 50 mm. iii. What is the value of the direct stress loading generated in the column by the action of the 270kN load? iv. Deduce the maximum and minimum values of stress developed within the column with the load at this eccentricity. v. Sketch a "stress indicator diagram" showing the progression of stress value across the section. Y Columns: axially loaded; eccentrically loaded effective length; maximum stress; short columns; long columns 19

20 150mm 150mm P5 continued A 225mm Y 225mm B X 50mm X Beam Reaction: 100 kn Dead load 50kN Live load D Y C b) An isolated brick column is to support a single beam load, as shown in the diagram, with its centre of bearing at an eccentricity of 50 mm on the major axis i. Calculate the "design loading" on the column using: Design Loading = 1.4 x Dead Load x Live Load ii. What is the value of the direct stress generated in the column by the action of the design load? iii. Calculate the value of the bending stress developed in the column by the moment associated with the design load. iv. Deduce the consequent maximum and minimum values of stress developed within the column. v. Suppose that an inaccuracy in construction results in the centre of bearing of the beam load having a 20 mm eccentricity on the minor axis as well, directed towards D and C (that is a 'double eccentricity'). How would the stress at points A, B, C and D be affected? vi. How would the design change if the column was made of steel and considered to be a long column. 20

21 MERIT OPPORTUNITY: Will not be assessed until all PASS criteria have been completed. To achieve a MERIT grade the evidence must show that, in addition to the pass criteria, the learner is able to meet the following criteria: Completing the tasks below will help you meet the criteria: Higher grade work is treated as summative assessment and hence may receive oral feedback in tutorials but not once formally submitted. This means that there will be no resubmissions available with higher grade work. Learners are expected to be largely autonomous when carrying out merit grade work. The standard of English, grammar, sentence structure etc is expected to be synonymous with the higher grade attempted. Assessor to Indicate, sign & date when criteria achieved M2. explain how the effective length of a column is determined under different restraint conditions a) A steel section is being used as a column and is 3.0m in length. It is embedded for an extra 1.0m length in the concrete foundations. Calculate the effective length under the following different first floor beam connection configurations. Justify any assumptions: i. First floor beam resting on top of the column ii. First floor beam welded to the column and to welded on flange and web cleats. iii. First floor beam connected with lower flange cleats only (bolted) b) Recalculate the effective lengths if the bottom of the column is welded to a base plate and the base plate is bolted with two bolts to the concrete foundation: i. First floor beam resting on top of the column ii. First floor beam welded to the column and to welded on flange and web cleats. iii. First floor beam connected with lower flange cleats only (bolted) iv. Sketch a better lower end arrangement which would make any restraint assumption more valid. LATEST SUBMISSION DATE FOR HIGHER GRADE WORK IS NOON ON 1st June

22 Learner Name Learner Registration No. Assessor Name Angelo Filomeno Qualification and Programme Number BTEC Level 3 Diploma in Construction & The Built Environment/Civil Engineering JW986 JW987 JW988 Unit Number and Title Unit 16 Structural Mechanics 21099C Assignment No & Title ASSIGNMENT Design simple beams & columns Deadlines: If you do not meet the deadlines for handing in your assignments you may not have your work marked. This could result in you failing the course unless there are exceptional circumstances which must be explained to your tutor and agreed by the Curriculum Manager. Your work should be returned to you marked within 10 working days Criteria Ref. No. Issued Submitted Resubmission (s) (if necessary) / Feedback Met? Y/N Assessor Sig./ P6 All decisions or grades are subject to internal and/ or external verification and may be modified. If you feel that an assessment decision is unjustified, you are entitled to appeal. Please refer to your course handbook or speak to your teacher or tutor for details as to how to do this. Assessor s General Comments/Feedback/ Action Plan: Learner Comments: (Ensure you read the assessment criteria and teacher s comments) Learner s Declaration: Learner signature: Assessor signature I certify that the work submitted for this assignment is my own and research sources are fully acknowledged. : 22

23 Unit 14: Structural Mechanics in Construction Assig. 6- Design simple beams and columns xxxx/2018 (Short Columns ---P6) To achieve a grade the evidence must show that the learner is able to meet the following Criteria: To be completed, ready for submission by:- Tasks which will help you produce the evidence required: Aid to answering and assessment Assessor to Indicate, sign & date when criteria achieved P6. produce suitable section sizes for axially loaded columns a) Calculate the permissible axial load for a timber post of SC2 class timber with an effective length of 3.45m and a nominal cross sectional size of 150mm x 150mm. Ref to appendix A: Table 12.1 (adapted from BS 5268) b) A steel stanchion of grade 43 steel 4.75m in length and of UC in cross section is required to support a factored axial load of 2500 kn. The column is rigidly bolted at the bottom to the foundations and bolted to a lightweight beam at the top. Design a suitable section that could be used. Ref to appendix A: Table 12.2,12.3 and 12.4 (adapted from BS 5985) c) A 250mm square reinforced concrete column with an effective length of 3m contains four 25mm diameter steel longitudinal bars. Calculate the safe axial load for the column if the permissible stress for concrete in direct compression is 5.3n/mm 2 and the permissible stress for the steel is 125n/mm 2. Base your design on permissible stress design. Columns: axial load capacity (for steel, reinforced concrete, timber); limit state design; British Standards d) Compare the above design to limit state design given in BS8110 -part 3 which contains design charts. 23

24 Learner Name Learner Registration No. Assessor Name Angelo Filomeno Qualification and Programme Number BTEC Level 3 Diploma in Construction & The Built Environment/Civil Engineering JW986 JW987 JW988 Unit Number and Title Unit 14 Structural Mechanics 21099C Assignment No & Title ASSIGNMENT Design simple beams & columns II Deadlines: If you do not meet the deadlines for handing in your assignments you may not have your work marked. This could result in you failing the course unless there are exceptional circumstances which must be explained to your tutor and agreed by the Curriculum Manager. Your work should be returned to you marked within 10 working days Criteria Ref. No. Issued Submitted Resubmission (s) (if necessary) / Feedback Met? Y/N Assessor Sig./ P7 M3 D2 All decisions or grades are subject to internal and/ or external verification and may be modified. If you feel that an assessment decision is unjustified, you are entitled to appeal. Please refer to your course handbook or speak to your teacher or tutor for details as to how to do this. Assessor s General Comments/Feedback/ Action Plan: Learner Comments: (Ensure you read the assessment criteria and teacher s comments) Learner s Declaration: Learner signature: Assessor signature I certify that the work submitted for this assignment is my own and research sources are fully acknowledged. : 24

25 Unit 14: Structural Mechanics in Construction To achieve a grade the evidence must show that the learner is able to meet the following Criteria: P7. produce suitable section sizes for simply supported beams subject to combined loading To be completed, ready for submission by:- xxxxx/2018 (Beam designs ---P7) Tasks which will help you produce the evidence required: a ) Check the stresses and the deflection in the lower roof beam and ridge beam for the conversion sketched below. Use the following parameters: Snow Load = 0.75KN/m 2 Dead load = 0.7 kn/m 2 Allow for a live point load (maintenance access) at the centre of the span of 1.5kN Lower roof beam = 300mm x 75mm structural grade (C27) timber section Ridge beam = 300 x 100 mm structural grade (C27) timber section Permissible stress: Modification Factor for snow load = 1.25 Grade Bending Stress for timber beams used (C27) = 10.0 N/mm 2 Maximum Permissible Deflection = of the span Assig. 7- Design simple beams and columns II Formulae: M max = M max = wl 3 8 PL 4 Aid to answering and assessment Beams: safe loading (for steel, reinforced concrete, timber); shear; bending; limit state design; British Standards Assessor to Indicate, sign & date when criteria achieved Deflection = x WL3 EI Z = bd2, 6 I = bd

26 b ) What size RSJ could be used for the lower roof beam instead of the timber section designed above. Justify your answer with full design calculations. c ) Calculate the steel mesh reinforcement required in the suspended floor slab for the residential building sketched below. Make justified assumptions as necessary. You may assume the following: depth of slab is 150mm concrete cover is 20mm 15 mm finishing screed on the slab P7 continued Ref to Appendix B for design tables 26

27 MERIT OPPORTUNITY: Will not be assessed until all PASS criteria have been completed. To achieve a MERIT grade the evidence must show that, in addition to the pass criteria, the learner is able to meet the following criteria: Completing the tasks below will help you meet the criteria: Higher grade work is treated as summative assessment and hence may receive oral feedback in tutorials but not once formally submitted. This means that there will be no resubmissions available with higher grade work. Learners are expected to be largely autonomous when carrying out merit grade work. The standard of English, grammar, sentence structure etc is expected to be synonymous with the higher grade attempted. Assessor to Indicate, sign & date when criteria achieved M3. compare alternative methods of designing structural members in terms of British Standards. With respect to the design work completed in assignment 7, research and then compare alternative methods of designing the structural members in terms of British Standards. Guidance: List and Compare British Standards codes of design with the newer Eurocodes LATEST SUBMISSION DATE FOR HIGHER GRADE WORK IS NOON ON 1st June 2018 DISTINCTION OPPORTUNITY: Will not be assessed unless all MERIT criteria have been completed. To achieve a DISTINCTION grade the evidence must show that, in addition to the MERIT criteria, the learner is able to meet the following criteria: Completing the tasks below will help you meet the criteria: Higher grade work is treated as summative assessment and hence may receive oral feedback in tutorials but not once formally submitted. This means that there will be no resubmissions available with higher grade work. Learners are expected to be largely autonomous when carrying out merit grade work. The standard of English, grammar, sentence structure etc is expected to be synonymous with the higher grade attempted. Assessor to Indicate, sign & date when criteria achieved D2. evaluate alternative design methods in terms of their application for a given design brief With respect to the work completed for assignment 7 and the research carried out for assignment M3 evaluate the various design methods available for structural elements and discuss their applications to the design briefs for a project. Guidance: You need to compare the older elastic method of analysis with the newer probability based limit state designs. Compare calculation based design with tabular and chart methods. LATEST SUBMISSION DATE FOR HIGHER GRADE WORK IS NOON ON 1st June

28 Learner Name Learner Registration No. Assessor Name Angelo Filomeno Qualification and Programme Number BTEC Level 3 Diploma in Construction & The Built Environment/Civil Engineering JW986 JW987 JW988 Unit Number and Title Unit 14 Structural Mechanics 21099C Assignment No & Title ASSIGNMENT Design mass retaining walls Deadlines: If you do not meet the deadlines for handing in your assignments you may not have your work marked. This could result in you failing the course unless there are exceptional circumstances which must be explained to your tutor and agreed by the Curriculum Manager. Your work should be returned to you marked within 10 working days Criteria Ref. No. Issued Submitted Resubmission (s) (if necessary) / Feedback THIS WILL BE AN IN CLASS TEST Met? Y/N Assessor Sig./ P8 All decisions or grades are subject to internal and/ or external verification and may be modified. If you feel that an assessment decision is unjustified, you are entitled to appeal. Please refer to your course handbook or speak to your teacher or tutor for details as to how to do this. Assessor s General Comments/Feedback/ Action Plan: Learner Comments: (Ensure you read the assessment criteria and teacher s comments) Learner s Declaration: Learner signature: Assessor signature I certify that the work submitted for this assignment is my own and research sources are fully acknowledged. : 28

29 1.5 m 1.8 m Unit 14: Structural Mechanics in Construction Assig. 8- Design mass retaining walls To achieve a grade the evidence must show that the learner is able to meet the following Criteria: P8. produce a suitable section for a mass retaining wall that is safe in overturning, sliding and settlement To be completed, ready for submission by:- xxxxx/2018 (Mass retaining wall ---P8) Tasks which will help you produce the evidence required: THIS WILL BE AN IN CLASS TEST (Load values and configuration may change) A 1.2 m 1.0 m B Retained Soil Design Data: The concrete used in the wall weighs 24 kn/m 3 The wall retains soil on its vertical face weighing 15 kn/m 3 The depth of the retained soil is m The angle of repose of the soil is 30 The coefficient of friction at the base of the wall is 0.7 The diagram shows a section through a concrete retaining wall: i Find the weight per metre run of wall. ii Find the position of the centroid of the section. iii Find the thrust exerted on the wall by the retained soil and the location of the centre of pressure. iv What is the factor of safety against sliding? v What is the factor of safety against overturning? vi Find the pressures under the wall at the toe A and heel B. Assessor to Indicate, sign & date when criteria achieved Mass retaining walls: forces (soils, level surcharge, liquid); self-weight; stability; factors of safety eg sliding, overturning, ground bearing capacity, middle third rule 29

30 Learner Name Learner Registration No. Assessor Name Angelo Filomeno Qualification and Programme Number BTEC Level 3 Diploma in Construction & The Built Environment/Civil Engineering JW986 JW987 JW988 Unit Number and Title Unit 14 Structural Mechanics 21099C Assignment No & Title ASSIGNMENT Use of software in analysis Deadlines: If you do not meet the deadlines for handing in your assignments you may not have your work marked. This could result in you failing the course unless there are exceptional circumstances which must be explained to your tutor and agreed by the Curriculum Manager. Your work should be returned to you marked within 10 working days Criteria Ref. No. Issued Submitted Resubmission (s) (if necessary) / Feedback Met? Y/N Assessor Sig./ P9 All decisions or grades are subject to internal and/ or external verification and may be modified. If you feel that an assessment decision is unjustified, you are entitled to appeal. Please refer to your course handbook or speak to your teacher or tutor for details as to how to do this. Assessor s General Comments/Feedback/ Action Plan: Learner Comments: (Ensure you read the assessment criteria and teacher s comments) Learner s Declaration: Learner signature: Assessor signature I certify that the work submitted for this assignment is my own and research sources are fully acknowledged. : 30

31 Unit 14: Structural Mechanics in Construction Assig. 9- Use of Software in analysis To achieve a grade the evidence must show that the learner is able to meet the following Criteria: P9. explain the benefits of using computer software in structural analysis and design. To be completed, ready for submission by:- xxxxx/ (Software printouts --P9) Assessor to Indicate, sign & date when Tasks which will help you produce the evidence required: Discuss the benefits of using computer software you have used or researched to facilitate structural analysis and designing structural elements. You should supply printouts/ screenshots to support your argument. Aid to answering and assessment Types: spreadsheets; design packages eg STAAD.pro Advantages: automated loading of structures; integration of CAD drawings; inter-operability; section choices criteria achieved Recommended reading: Structures for Architects, Gauld, Bryan J. B., Pearson, 1995, ISBN-13: Structural Mechanics, Durka et al, Longman, 1989, ISBN X Structural Elements Design Manual, Draycott, Trevor, Newnes, 1990, ISBN Extracts from British Standards for students of Structural Design, BSI Relevant BS and Eurocodes 31

32 Appendix A: 32

33 33

34 34

35 Appendix B 35

36 36

37 37

38 38

39 39

40 40

41 41

42 42

43 43