(Solved): BASIC TRIGONOMETRY 1. Using the notation \( a \), \( b \), and \( c \) for the right triangle shown ...

BASIC TRIGONOMETRY 1. Using the notation \( a \), \( b \), and \( c \) for the right triangle shown: sine alpha = cosine alpha = tangent alpha = alpha \( +b e t a= \) degrees BASIC ALGEBRA 2. \( 6 a=10 b / 2 c \) Determine and reduce: \( a= \) \( b= \) \( c= \) 3. Reduce: \( \quad 6 a^{5} / 3 a^{2}= \) IMPERIAL UNITS 4. \( 6 \mathrm{k} / \mathrm{ft} \) is on example of a: a) point load b) distributed lood on a beam c) concentrated load d) moment 5. \( 6 \mathrm{k}-\mathrm{ft} \) is an example of \( a \) : a) point load b) distributed load on a beam c) concentrated load d) moment 6. A kip is: a) aton b) a metric unit of measure c) \( 1,000 \mathrm{lb} \) d) a conversion unit used for metric equivalents 31. Moment of inertia is measured in: a) \( \mathrm{lb} / \mathrm{ft} \) b) \( l b-f t \) c) \( 1 \mathrm{~b} / \mathrm{ft} \) d) in \( ^{3} \) e) in \( ^{4} \) 32. Section modulus is measured in: a) \( \mathrm{Ib} / \mathrm{ft} \) b) \( 1 \mathrm{~b}-\mathrm{ft} \) c) \( 1 \mathrm{~b} / \mathrm{ft} \) d) \( i n^{3} \) e) in \( ^{4} \) LOAD DISTRTBUTION 33. Which of the following is an example of a distributed lood along the length of a beam: a) \( 10 \mathrm{kips} \) b) 10 kips/ft (10 klf) c) \( 10 \mathrm{kips} / \mathrm{in}^{2} \) (10 ksi) d) \( 10 \mathrm{kip}-\mathrm{ft} \) 34. Which of the following is an example of a concentrated lood on a beant: a) \( 10 \mathrm{kips} \) b) \( 10 \mathrm{kips} / \mathrm{ft}(10 \mathrm{klf}) \) c) \( 10 \mathrm{kips} / \mathrm{in}^{2} \) (10 ksi) d) \( 10 \mathrm{kip}-\mathrm{ft} \) SHEAR AND MOMENT DIAGRAMS 35. The shear \( (V) \) and moment \( (M) \) diagrams of a beam are: a) inverse relationships of each other b) graphic depictions of the amount of \( \mathrm{V} \) and \( M \) within a porticulor beam, for given looding and support conditions c) the equivalent of a stress strain diagram for steel d) dependent upon the material of the beam 36. Which of the following units is an example of the sheor force in a sthear diagram: a) 10 kips b) \( 10 \mathrm{keps} / \mathrm{ft} \) (10 kff) c) \( 10 \mathrm{kss} / \mathrm{in}^{2} \) (10 ksi) d) \( 10 \mathrm{kip}-\mathrm{ft} \) STRESS AND STRAIN 37. Modulus of elasticity is: a) a measure of the resistance to elastic deformation of a material b) a measure of the resistance to elastic deformation of a cross section c) a measure of the combined resistance to dastic deformation of a material and cross section d) the ratios of moment to shear for various beam conditions